2024
Burrows, L., Sculthorpe, D., Zhang, H., Rehman, O., Mukherjee, A., & Chen, K. (2024). Mathematical modelling and deep learning algorithms to automate assessment of single and digitally multiplexed immunohistochemical stains in tumoural stroma.. Journal of pathology informatics, 15, 100351. doi:10.1016/j.jpi.2023.100351DOI: 10.1016/j.jpi.2023.100351
Zhang, Y., Chen, K., & Yang, S. -H. (2023). SUPER-RESOLUTION SURFACE RECONSTRUCTION FROM FEW LOW-RESOLUTION SLICES. INVERSE PROBLEMS AND IMAGING. doi:10.3934/ipi.2023040DOI: 10.3934/ipi.2023040
Wu, S. -H., Zhang, Y., Chen, K., & Yang, S. H. (n.d.). DaISy: Diffuser-aided Sub-THz Imaging System. Optics Express. doi:10.1364/oe.516198DOI: 10.1364/oe.516198
Time multiscale regularization for nonlinear image registration. (Journal article)
Bao, L., Chen, K., Kong, D., Ying, S., & Zeng, T. (2024). Time multiscale regularization for nonlinear image registration.. Computerized medical imaging and graphics : the official journal of the Computerized Medical Imaging Society, 112, 102331. doi:10.1016/j.compmedimag.2024.102331DOI: 10.1016/j.compmedimag.2024.102331
A fractional-order image segmentation model with application to low-contrast and piecewise smooth images (Journal article)
Cao, J., Chen, K., & Han, H. (2024). A fractional-order image segmentation model with application to low-contrast and piecewise smooth images. Computers & Mathematics with Applications, 153, 159-171. doi:10.1016/j.camwa.2023.11.010DOI: 10.1016/j.camwa.2023.11.010
Topology-preserving image registration with novel multi-dimensional Beltrami regularization (Journal article)
Huang, C., Chen, K., Huang, M., Kong, D., & Yuan, J. (2024). Topology-preserving image registration with novel multi-dimensional Beltrami regularization. Applied Mathematical Modelling, 125, 539-556. doi:10.1016/j.apm.2023.09.033DOI: 10.1016/j.apm.2023.09.033
2023
Burrows, L., Patel, J., Islim, A. I., Jenkinson, M. D., Mills, S. J., & Chen, K. (2023). A semi-automatic segmentation method for meningioma developed using a variational approach model.. The neuroradiology journal, 19714009231224442. doi:10.1177/19714009231224442DOI: 10.1177/19714009231224442
Bal, S. S., Yang, F. -P. G., Chi, N. -F., Yin, J. H., Wang, T. -J., Peng, G. S., . . . Chen, C. -I. (2023). Core and penumbra estimation using deep learning-based AIF in association with clinical measures in computed tomography perfusion (CTP). INSIGHTS INTO IMAGING, 14(1). doi:10.1186/s13244-023-01472-zDOI: 10.1186/s13244-023-01472-z
Image Segmentation Based on the Hybrid Bias Field Correction (Journal article)
Pang, Z. -F., Guan, Z., Li, Y., Chen, K., & Ge, H. (2023). Image Segmentation Based on the Hybrid Bias Field Correction. APPLIED MATHEMATICS AND COMPUTATION, 452. doi:10.1016/j.amc.2023.128050DOI: 10.1016/j.amc.2023.128050
Chen, K. (n.d.). An interpretable MRI reconstruction network with two-grid-cycle correction and geometric prior distillation. Biomedical Signal Processing and Control. doi:10.1016/j.bspc.2023.104821DOI: 10.1016/j.bspc.2023.104821
Zhang, Z., Chen, K., Tang, K., & Duan, Y. (2023). Fast Multi-grid Methods for Minimizing Curvature Energies. IEEE Transactions on Image Processing, 1. doi:10.1109/tip.2023.3251024DOI: 10.1109/tip.2023.3251024
A Survey of Topology and Geometry-Constrained Segmentation Methods in Weakly Supervised Settings (Chapter)
Chen, K., Debroux, N., & Le Guyader, C. (2023). A Survey of Topology and Geometry-Constrained Segmentation Methods in Weakly Supervised Settings. In Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging (pp. 1437-1482). Springer International Publishing. doi:10.1007/978-3-030-98661-2_85DOI: 10.1007/978-3-030-98661-2_85
Zhang, Y., Chen, K., & Yang, S. -H. (2023). Euler-Elastica Variational Model for Pulsed Terahertz 3D Imaging. In CLEO 2023. Optica Publishing Group. doi:10.1364/cleo_at.2023.jth2a.104DOI: 10.1364/cleo_at.2023.jth2a.104
Game Theory and Its Applications in Imaging and Vision (Chapter)
Theljani, A., Habbal, A., Kallel, M., & Chen, K. (2023). Game Theory and Its Applications in Imaging and Vision. In Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging (pp. 677-706). Springer International Publishing. doi:10.1007/978-3-030-98661-2_102DOI: 10.1007/978-3-030-98661-2_102
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging (Book)
Chen, K., Schönlieb, C. -B., Tai, X. -C., & Younes, L. (Eds.) (2023). Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging. Springer International Publishing. doi:10.1007/978-3-030-98661-2DOI: 10.1007/978-3-030-98661-2
Nest-DGIL: Nesterov-Optimized Deep Geometric Incremental Learning for CS Image Reconstruction (Journal article)
Fan, X., Yang, Y., Chen, K., Feng, Y., & Zhang, J. (2023). Nest-DGIL: Nesterov-Optimized Deep Geometric Incremental Learning for CS Image Reconstruction. IEEE Transactions on Computational Imaging, 9, 819-833. doi:10.1109/tci.2023.3315853DOI: 10.1109/tci.2023.3315853
Preface (Book)
Chen, K., Schönlieb, C. B., Tai, X. C., & Younes, L. (2023). Preface.
Weakly Supervised Segmentation with Point Annotations for Histopathology Images via Contrast-Based Variational Model (Conference Paper)
Zhang, H., Burrows, L., Meng, Y., Sculthorpe, D., Mukherjee, A., Coupland, S. E., . . . Zheng, Y. (2023). Weakly Supervised Segmentation with Point Annotations for Histopathology Images via Contrast-Based Variational Model. In 2023 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE. doi:10.1109/cvpr52729.2023.01500DOI: 10.1109/cvpr52729.2023.01500
2022
Approximate Minimum Homology Basis for 3D Image and Its Application in Medical Image Segmentation (Conference Paper)
Huang, J., Lei, N., Chen, K., Ren, Y., Wang, Z., & Shang, Y. (2022). Approximate Minimum Homology Basis for 3D Image and Its Application in Medical Image Segmentation. In 2022 IEEE International Conference on Bioinformatics and Biomedicine (BIBM). IEEE. doi:10.1109/bibm55620.2022.9995162DOI: 10.1109/bibm55620.2022.9995162
Jumaat, A. K., & Chen, K. (2022). A fast multilevel method for selective segmentation model of 3-D digital images. ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 127-152. Retrieved from https://www.webofscience.com/
Zhang, Y., Chen, K., Zhao, X., & Li, H. (2022). A visible edge aware directional total variation model for limited-angle reconstruction. In J. W. Stayman (Ed.), 7th International Conference on Image Formation in X-Ray Computed Tomography. SPIE. doi:10.1117/12.2647520DOI: 10.1117/12.2647520
Zhang, Y., Chen, K., & Yang, S. -H. (2022). Fast Terahertz 3D Super-Resolution Surface Reconstruction by Variational Model from Limited Low-Resolution Sampling. In 2022 47TH INTERNATIONAL CONFERENCE ON INFRARED, MILLIMETER AND TERAHERTZ WAVES (IRMMW-THZ 2022). doi:10.1109/IRMMW-THz50927.2022.9895746DOI: 10.1109/IRMMW-THz50927.2022.9895746
Evaluation of a hybrid pipeline for automated segmentation of solid lesions based on mathematical algorithms and deep learning (Journal article)
Burrows, L., Chen, K., Guo, W., Hossack, M., McWilliams, R. G., & Torella, F. (n.d.). Evaluation of a hybrid pipeline for automated segmentation of solid lesions based on mathematical algorithms and deep learning. Scientific Reports, 12(1). doi:10.1038/s41598-022-18173-0DOI: 10.1038/s41598-022-18173-0
Deep Learning-based Blind Denoising for Enhancing Energy-dispersive X-ray Spectroscopy (EDS) Images (Journal article)
Taylor, J., Chen, K., Zheng, Y., & Browning, N. D. (2022). Deep Learning-based Blind Denoising for Enhancing Energy-dispersive X-ray Spectroscopy (EDS) Images. Microscopy and Microanalysis, 28(S1), 508-509. doi:10.1017/s1431927622002665DOI: 10.1017/s1431927622002665
An effective algorithm for mean curvature-based image deblurring problem (Journal article)
Fairag, F., Chen, K., & Ahmad, S. (2022). An effective algorithm for mean curvature-based image deblurring problem. COMPUTATIONAL & APPLIED MATHEMATICS, 41(4). doi:10.1007/s40314-022-01865-8DOI: 10.1007/s40314-022-01865-8
Fairag, F., Chen, K., Brito-Loeza, C., & Ahmad, S. (n.d.). A Two-Level Method for Image Denoising and Image Deblurring Models Using Mean Curvature Regularization. International Journal of Computer Mathematics, 1-27. doi:10.1080/00207160.2021.1929939DOI: 10.1080/00207160.2021.1929939
Jones, H., Kalirai, H., Taktak, A., Chen, K., & Coupland, S. E. (2022). Vascular Lakes in Uveal Melanoma and Their Association With Outcome.. Translational vision science & technology, 11(3), 32. doi:10.1167/tvst.11.3.32DOI: 10.1167/tvst.11.3.32
Bal, S. S., Chen, K., Yang, F. -P. G., & Peng, G. -S. (2022). Arterial input function segmentation based on a contour geodesic model for tissue at risk identification in ischemic stroke. MEDICAL PHYSICS, 49(4), 2475-2485. doi:10.1002/mp.15508DOI: 10.1002/mp.15508
Bal, S. S., Yang, F. P. G., Sung, Y. -F., Chen, K., Yin, J. -H., & Peng, G. -S. (2022). Optimal Scaling Approaches for Perfusion MRI with Distorted Arterial Input Function (AIF) in Patients with Ischemic Stroke. BRAIN SCIENCES, 12(1). doi:10.3390/brainsci12010077DOI: 10.3390/brainsci12010077
Zhong, Y., Zhang, C., Ren, F., Kuang, H., & Tang, P. (2022). Scalable Image Compressed Sensing With Generator Networks. IEEE Transactions on Computational Imaging, 8, 1025-1037. doi:10.1109/tci.2022.3224281DOI: 10.1109/tci.2022.3224281
2021
Wang, Y., Pang, Z. -F., Duan, Y., & Chen, K. (2021). IMAGE RETINEX BASED ON THE NONCONVEX TV-TYPE REGULARIZATION. INVERSE PROBLEMS AND IMAGING, 15(6), 1381-1407. doi:10.3934/ipi.2020050DOI: 10.3934/ipi.2020050
Burrows, L., Chen, K., & Torella, F. (2021). Using Deep Image Prior to Assist Variational Selective Segmentation Deep Learning Algorithms. 17TH INTERNATIONAL SYMPOSIUM ON MEDICAL INFORMATION PROCESSING AND ANALYSIS, 12088. doi:10.1117/12.2606212DOI: 10.1117/12.2606212
Burrows, L., Theljani, A., & Chen, K. (2021). On a Variational and Convex Model of the Blake-Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images. JOURNAL OF IMAGING, 7(11). doi:10.3390/jimaging7110228DOI: 10.3390/jimaging7110228
Image-selective segmentation model for multi-regions within the object of interest with application to medical disease (Journal article)
Ali, H., Faisal, S., Chen, K., & Rada, L. (2021). Image-selective segmentation model for multi-regions within the object of interest with application to medical disease. VISUAL COMPUTER, 37(5), 939-955. doi:10.1007/s00371-020-01845-1DOI: 10.1007/s00371-020-01845-1
A Deep Image Prior Learning Algorithm for Joint Selective Segmentation and Registration (Conference Paper)
Burrows, L., Chen, K., & Torella, F. (2021). A Deep Image Prior Learning Algorithm for Joint Selective Segmentation and Registration. In Unknown Conference (pp. 411-422). Springer International Publishing. doi:10.1007/978-3-030-75549-2_33DOI: 10.1007/978-3-030-75549-2_33
Chen, D., Spencer, J., Mirebeau, J. -M., Chen, K., Shu, M., & Cohen, L. D. (2021). A Generalized Asymmetric Dual-Front Model for Active Contours and Image Segmentation. IEEE TRANSACTIONS ON IMAGE PROCESSING, 30, 5056-5071. doi:10.1109/TIP.2021.3078102DOI: 10.1109/TIP.2021.3078102
A Survey of Topology and Geometry-Constrained Segmentation Methods in Weakly Supervised Settings (Chapter)
Chen, K., Debroux, N., & Le Guyader, C. (2021). A Survey of Topology and Geometry-Constrained Segmentation Methods in Weakly Supervised Settings. In Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging (pp. 1-46). Springer International Publishing. doi:10.1007/978-3-030-03009-4_85-1DOI: 10.1007/978-3-030-03009-4_85-1
Fairag, F., Chen, K., & Ahmad, S. (2021). ANALYSIS OF THE CCFD METHOD FOR MC-BASED IMAGE DENOISING PROBLEMS. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 54, 108-127. doi:10.1553/etna_vol54s108DOI: 10.1553/etna_vol54s108
Game Theory and Its Applications in Imaging and Vision (Chapter)
Theljani, A., Habbal, A., Kallel, M., & Chen, K. (2021). Game Theory and Its Applications in Imaging and Vision. In Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging (pp. 1-30). Springer International Publishing. doi:10.1007/978-3-030-03009-4_102-1DOI: 10.1007/978-3-030-03009-4_102-1
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging (Book)
Chen, K., Schönlieb, C. -B., Tai, X. -C., & Younces, L. (Eds.) (2021). Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging. Springer International Publishing. doi:10.1007/978-3-030-03009-4DOI: 10.1007/978-3-030-03009-4
Multi-modality Image Registration Models and Efficient Algorithms (Conference Paper)
Zhang, D., Theljani, A., & Chen, K. (2021). Multi-modality Image Registration Models and Efficient Algorithms. In Unknown Conference (pp. 33-60). Springer Singapore. doi:10.1007/978-981-16-2701-9_3DOI: 10.1007/978-981-16-2701-9_3
REPRODUCIBLE KERNEL HILBERT SPACE BASED GLOBAL AND LOCAL IMAGE SEGMENTATION (Journal article)
Burrows, L., Guo, W., Chen, K., & Torella, F. (2021). REPRODUCIBLE KERNEL HILBERT SPACE BASED GLOBAL AND LOCAL IMAGE SEGMENTATION. INVERSE PROBLEMS AND IMAGING, 15(1), 1-25. doi:10.3934/ipi.2020048DOI: 10.3934/ipi.2020048
Burrows, L., Chen, K., & Torella, F. (2021). Selective segmentation of a feature that has two distinct intensities. Journal of Algorithms & Computational Technology, 15, 174830262110077. doi:10.1177/17483026211007776DOI: 10.1177/17483026211007776
Burrows, L., Chen, K., & Torella, F. (2021). Using Deep Image Prior to Assist Variational Selective Segmentation Deep Learning Algorithms.. CoRR, abs/2112.00793.
2020
Pang, Z. -F., Meng, G., Li, H., & Chen, K. (2020). Image restoration via the adaptive TVp regularization. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 80(5), 569-587. doi:10.1016/j.camwa.2020.04.030DOI: 10.1016/j.camwa.2020.04.030
Investigating Optimal Time Step Intervals of Imaging for Data Quality through a Novel Fully-Automated Cell Tracking Approach (Journal article)
Yang, F. W., Tomasova, L., Guttenberg, Z. V., Chen, K., & Madzvamuse, A. (2020). Investigating Optimal Time Step Intervals of Imaging for Data Quality through a Novel Fully-Automated Cell Tracking Approach. JOURNAL OF IMAGING, 6(7). doi:10.3390/jimaging6070066DOI: 10.3390/jimaging6070066
Theljani, A., & Chen, K. (2020). A Nash Game Based Variational Model For Joint Image Intensity Correction And Registration To Deal With Varying Illumination. Inverse Problems, 36(3). doi:10.1088/1361-6420/ab2934DOI: 10.1088/1361-6420/ab2934
Choi, G. P. T., Chan, H. L., Yong, R., Ranjitkar, S., Brook, A., Townsend, G., . . . Lui, L. M. (2020). Tooth morphometry using quasi-conformal theory. PATTERN RECOGNITION, 99. doi:10.1016/j.patcog.2019.107064DOI: 10.1016/j.patcog.2019.107064
Daoping, Z., & Chen, K. (n.d.). 3D Orientation-Preserving Variational Models for Accurate Image Registration. SIAM Journal on Image Sciences. doi:10.1137/20M1320006DOI: 10.1137/20M1320006
A Variational Joint Segmentation and Registration Framework for Multimodal Images (Conference Paper)
Ademaj, A., Rada, L., Ibrahim, M., & Chen, K. (2020). A Variational Joint Segmentation and Registration Framework for Multimodal Images. In MEDICAL IMAGE UNDERSTANDING AND ANALYSIS, MIUA 2019 Vol. 1065 (pp. 305-316). doi:10.1007/978-3-030-39343-4_26DOI: 10.1007/978-3-030-39343-4_26
A variational joint segmentation and registration framework for multimodal images (Journal article)
Ademaj, A., Rada, L., Ibrahim, M., & Chen, K. (2020). A variational joint segmentation and registration framework for multimodal images. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 14. doi:10.1177/1748302620966691DOI: 10.1177/1748302620966691
An Effective Diffeomorphic Model and Its Fast Multigrid Algorithm for Registration of Lung CT Images (Journal article)
Thompson, T., & Chen, K. (2020). An Effective Diffeomorphic Model and Its Fast Multigrid Algorithm for Registration of Lung CT Images. COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 20(1), 141-168. doi:10.1515/cmam-2018-0126DOI: 10.1515/cmam-2018-0126
An Unsupervised Deep Learning Method for Diffeomorphic Mono-and Multi-modal Image Registration (Conference Paper)
Theljani, A., & Chen, K. (2020). An Unsupervised Deep Learning Method for Diffeomorphic Mono-and Multi-modal Image Registration. In MEDICAL IMAGE UNDERSTANDING AND ANALYSIS, MIUA 2019 Vol. 1065 (pp. 317-326). doi:10.1007/978-3-030-39343-4_27DOI: 10.1007/978-3-030-39343-4_27
An augmented Lagrangian method for solving total variation (TV)-based image registration model (Journal article)
Chumchob, N., & Chen, K. (2020). An augmented Lagrangian method for solving total variation (TV)-based image registration model. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 14. doi:10.1177/1748302620973534DOI: 10.1177/1748302620973534
Theljani, A., & Chen, K. (2020). Diffeomorphic unsupervised deep learning model for mono- and multi-modality registration. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 14. doi:10.1177/1748302620973528DOI: 10.1177/1748302620973528
Edge Enhancement for Image Segmentation Using a RKHS Method (Conference Paper)
Burrows, L., Guo, W., Chen, K., & Torella, F. (2020). Edge Enhancement for Image Segmentation Using a RKHS Method. In MEDICAL IMAGE UNDERSTANDING AND ANALYSIS, MIUA 2019 Vol. 1065 (pp. 198-207). doi:10.1007/978-3-030-39343-4_17DOI: 10.1007/978-3-030-39343-4_17
On New Convolutional Neural Network Based Algorithms for Selective Segmentation of Images (Conference Paper)
Burrows, L., Chen, K., & Torella, F. (2020). On New Convolutional Neural Network Based Algorithms for Selective Segmentation of Images. In MEDICAL IMAGE UNDERSTANDING AND ANALYSIS Vol. 1248 (pp. 93-104). doi:10.1007/978-3-030-52791-4_8DOI: 10.1007/978-3-030-52791-4_8
Preface (Book)
Zheng, Y., Williams, B. M., & Chen, K. (2020). Preface (Vol. 1065 CCIS).
Special Issue: Mathematical Imaging (Journal article)
Chen, K., & Lai, C. -H. (2020). Special Issue: Mathematical Imaging. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 14. doi:10.1177/1748301816668045DOI: 10.1177/1748301816668045
Three-Dimensional Convex and Selective Variational Image Segmentation Model (Journal article)
Jumaat, A. K., & Chen, K. (2020). Three-Dimensional Convex and Selective Variational Image Segmentation Model. MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 14(3), 437-450. Retrieved from https://www.webofscience.com/
2019
On an effective multigrid solver for solving a class of variational problems with application to image segmentation (Journal article)
Roberts, M., Chen, K., Li, J., & Irion, K. L. (2019). On an effective multigrid solver for solving a class of variational problems with application to image segmentation. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. doi:10.1080/00207160.2019.1674290DOI: 10.1080/00207160.2019.1674290
Theljani, A., & Chen, K. (2019). A Nash Game Based Variational Model For Joint Image Intensity Correction And Registration To Deal With Varying Illumination. A Nash Game Based Variational Model For Joint Image Intensity Correction And Registration To Deal With Varying Illumination.
Roberts, M., Chen, K., & Irion, K. L. (2019). A Convex Geodesic Selective Model for Image Segmentation. Journal of Mathematical Imaging and Vision, 61(4), 482-503. doi:10.1007/s10851-018-0857-2DOI: 10.1007/s10851-018-0857-2
Thompson, T., & Chen, K. (2019). A More Robust Multigrid Algorithm for Diffusion Type Registration Model. Journal of Computational and Applied Mathematics. doi:10.1016/j.cam.2019.04.006DOI: 10.1016/j.cam.2019.04.006
Theljani, A., & Chen, K. (2019). An Augmented Lagrangian Method for Solving a New Variational Model based on Gradients Similarity Measures and High Order Regularization for Multimodality Registration. Inverse Problems and Imaging.
Chen, K., Grapiglia, G. N., Yuan, J., & Zhang, D. (2019). Improved optimization methods for image registration problems. NUMERICAL ALGORITHMS, 80(2), 305-336. doi:10.1007/s11075-018-0486-2DOI: 10.1007/s11075-018-0486-2
Asymmetric geodesic distance propagation for active contours (Conference Paper)
Chen, D., Spencer, J., Mirebeau, J. M., Chen, K., & Cohen, L. D. (2019). Asymmetric geodesic distance propagation for active contours. In British Machine Vision Conference 2018, BMVC 2018.
Asymmetric geodesic distance propagation for active contours (Conference Paper)
Chen, D., Spencer, J., Mirebeau, J. M., Chen, K., & Cohen, L. D. (2019). Asymmetric geodesic distance propagation for active contours. In British Machine Vision Conference 2018, BMVC 2018.
Image and surface registration (Chapter)
Chen, K., Lui, L. M., & Modersitzki, J. (2019). Image and surface registration. In PROCESSING, ANALYZING AND LEARNING OF IMAGES, SHAPES, AND FORMS, PT 2 (Vol. 20, pp. 579-611). doi:10.1016/bs.hna.2019.07.001DOI: 10.1016/bs.hna.2019.07.001
2018
Jumaat, A. K., & Chen, K. (2018). A Reformulated Convex and Selective Variational Image Segmentation Model and its Fast Multilevel Algorithm. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 12(2), 403-437. doi:10.4208/nmtma.OA-2017-0143DOI: 10.4208/nmtma.OA-2017-0143
Zhang, D., & Chen, K. (2018). A Novel Diffeomorphic Model for Image Registration and Its Algorithm. JOURNAL OF MATHEMATICAL IMAGING AND VISION, 60(8), 1261-1283. doi:10.1007/s10851-018-0811-3DOI: 10.1007/s10851-018-0811-3
Yung, C. P., Choi, G. P. T., Chen, K., & Lui, L. M. (2018). Efficient feature-based image registration by mapping sparsified surfaces. JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, 55, 561-571. doi:10.1016/j.jvcir.2018.07.005DOI: 10.1016/j.jvcir.2018.07.005
Multigrid Algorithm based on Hybrid Smoothers for Variational and Selective Segmentation Models (Journal article)
Roberts, M., Chen, K., & Irion, K. (n.d.). Multigrid Algorithm based on Hybrid Smoothers for Variational and Selective Segmentation Models. International Journal of Computer Mathematics.
Spencer, J., Chen, K., Boukerroui, D., Gooding, M., & Fenwick, J. (2018). A Comparison of Interpolation Methods in Head and Neck Radiotherapy Contouring. In MEDICAL PHYSICS Vol. 45 (pp. E193). Retrieved from https://www.webofscience.com/
Chen, L., Liversidge, H., Chen, K., Farella, M., & Sassani, S. (2018). Delay in dental development and variations in root morphology are outcomes of the complex adaptive system associated with the numerical variation of hypodontia. International Journal of Design & Nature and Ecodynamics, 13(1), 101-106. doi:10.2495/dne-v13-n1-101-106DOI: 10.2495/DNE-V13-N1-101-106
K Jumaat, A., & Chen, K. (n.d.). Fast Algorithm for Selective Image Segmentation Model. International Journal of Engineering & Technology, 7(4.33), 41. doi:10.14419/ijet.v7i4.33.23481DOI: 10.14419/ijet.v7i4.33.23481
2017
Chen, K., & Jumaat, A. (2017). An Optimization Based Multilevel Algorithm for Variational Image Segmentation Models. Electronic Transactions on Numerical Analysis.
Ibrahim, M., & Chen, K. (2017). Unifying Framework for Decomposition Models of Parametric and Non-parametric Image Registration. In PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION Vol. 1870. doi:10.1063/1.4995917DOI: 10.1063/1.4995917
Ibrahim, M., & Chen, K. (2017). Multi-modality Image Registration using the Decomposition Model. In 4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS4): MATHEMATICAL SCIENCES: CHAMPIONING THE WAY IN A PROBLEM BASED AND DATA DRIVEN SOCIETY Vol. 1830. doi:10.1063/1.4980870DOI: 10.1063/1.4980870
Zhang, J., Chen, K., Chen, F., & Yu, B. (2017). An Efficient Numerical Method for Mean Curvature-Based Image Registration Model. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 7(1), 125-142. doi:10.4208/eajam.200816.031216aDOI: 10.4208/eajam.200816.031216a
Exploratory Clustering for Patient Subpopulation Discovery (Chapter)
Gamberger, D., Zenko, B., Lavrac, N., Weiner, M. W., Aisen, P., Petersen, R., . . . Fernandez, D. (2017). Exploratory Clustering for Patient Subpopulation Discovery. In INFORMATICS FOR HEALTH: CONNECTED CITIZEN-LED WELLNESS AND POPULATION HEALTH (Vol. 235, pp. 101-105). doi:10.3233/978-1-61499-753-5-101DOI: 10.3233/978-1-61499-753-5-101
Ali, H., Badshah, N., Chen, K., Khan, G. A., & Zikria, N. (2017). Multiphase segmentation based on new signed pressure force functions and one level set function. TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, 25(4), 2943-2955. doi:10.3906/elk-1606-260DOI: 10.3906/elk-1606-260
2016
Zhang, J., & Chen, K. (2016). A new augmented Lagrangian primal dual algorithm for elastica regularization. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 10(4), 325-338. doi:10.1177/1748301816668044DOI: 10.1177/1748301816668044
Williams, B. M., Zhang, J., & Chen, K. (2016). A new image deconvolution method with fractional regularisation. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 10(4), 265-276. doi:10.1177/1748301816660439DOI: 10.1177/1748301816660439
Zhang, J., Chen, K., & Yu, B. (2016). A novel high-Order functional based image registration model with inequality constraint. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 72(12), 2887-2899. doi:10.1016/j.camwa.2016.10.018DOI: 10.1016/j.camwa.2016.10.018
Williams, B. M., Spencer, J. A., Chen, K., Zheng, Y., & Harding, S. (2016). An effective variational model for simultaneous reconstruction and segmentation of blurred images. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 10(4), 244-264. doi:10.1177/1748301816660406DOI: 10.1177/1748301816660406
Zhang, J., Chen, K., & Yu, B. (2016). An improved discontinuity-preserving image registration model and its fast algorithm. APPLIED MATHEMATICAL MODELLING, 40(23-24), 10740-10759. doi:10.1016/j.apm.2016.08.009DOI: 10.1016/j.apm.2016.08.009
Ibrahim, M., Chen, K., & Rada, L. (2016). An improved model for joint segmentation and registration based on linear curvature smoother. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 10(4), 314-324. doi:10.1177/1748301816668027DOI: 10.1177/1748301816668027
Chen, K., & Lai, C. -H. (2016). Special Issue - Mathematical Imaging. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 10(4), 211-212. doi:10.1177/1748301816677896DOI: 10.1177/1748301816677896
Spencer, J., & Chen, K. (2016). Stabilised bias field: segmentation with intensity inhomogeneity. JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 10(4), 302-313. doi:10.1177/1748301816668025DOI: 10.1177/1748301816668025
Chen, K., & Zhang, J. (2016). A new curvature-based image registration model and its fast algorithm. International Journal of Numerical Analysis and Modeling.
Mahood, L., Ali, H., Badshah, N., Chen, K., & Khan, G. A. (2016). Active contours textural and inhomogeneous object extraction. PATTERN RECOGNITION, 55, 87-99. doi:10.1016/j.patcog.2016.01.021DOI: 10.1016/j.patcog.2016.01.021
Brito-Loeza, C., Chen, K., & Uc-Cetina, V. (2016). Image denoising using the Gaussian curvature of the image surface. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 32(3), 1066-1089. doi:10.1002/num.22042DOI: 10.1002/num.22042
Chen, K., Fairag, F., & Al-Mahdi, A. (2016). Preconditioning techniques for an image deblurring problem. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 23(3), 570-584. doi:10.1002/nla.2040DOI: 10.1002/nla.2040
Ali, H., Badshah, N., Chen, K., & Khan, G. A. (2016). A variational model with hybrid images data fitting energies for segmentation of images with intensity inhomogeneity. PATTERN RECOGNITION, 51, 27-42. doi:10.1016/j.patcog.2015.08.022DOI: 10.1016/j.patcog.2015.08.022
Iterative Constrained Minimization for Vectorial TV Image Deblurring (Journal article)
Chen, K., Piccolomini, E. L., & Zama, F. (2016). Iterative Constrained Minimization for Vectorial TV Image Deblurring. JOURNAL OF MATHEMATICAL IMAGING AND VISION, 54(2), 240-255. doi:10.1007/s10851-015-0599-3DOI: 10.1007/s10851-015-0599-3
Global and local segmentation of images by geometry preserving variational models and their algorithms (Conference Paper)
Spencer, J., & Chen, K. (2016). Global and local segmentation of images by geometry preserving variational models and their algorithms. In Springer Proceedings in Mathematics and Statistics Vol. 124 (pp. 87-105). doi:10.5176/2251-1911_CMCGS14.49_9DOI: 10.5176/2251-1911_CMCGS14.49_9
2015
An iterative algorithm for L1-TV constrained regularization in image restoration. (Conference Paper)
Chen, K., Piccolomini, E. L., & Zama, F. (2015). An iterative algorithm for L1-TV constrained regularization in image restoration.. In 5TH INTERNATIONAL WORKSHOP ON NEW COMPUTATIONAL METHODS FOR INVERSE PROBLEMS (NCMIP2015) Vol. 657. doi:10.1088/1742-6596/657/1/012009DOI: 10.1088/1742-6596/657/1/012009
A Total Fractional-Order Variation Model for Image Restoration with Nonhomogeneous Boundary Conditions and Its Numerical Solution (Journal article)
Zhang, J., & Chen, K. (2015). A Total Fractional-Order Variation Model for Image Restoration with Nonhomogeneous Boundary Conditions and Its Numerical Solution. SIAM Journal on Imaging Sciences, 8(4), 2487-2518. doi:10.1137/14097121XDOI: 10.1137/14097121X
On some refined variational models for restoration of blurred images (Presentation material)
Chen, K., Williams, B. M., & Zhang, J. (2015). On some refined variational models for restoration of blurred images. International Congress on Industrial and Applied Mathematics (ICIAM).
Williams, B. M., Chen, K., Harding, S. P., & Zheng, Y. (2015, October 9). A New Method of Blind Deconvolution for Colour Fundus Retinal Images. In Proceedings of the Ophthalmic Medical Image Analysis Second International Workshop. University of Iowa. doi:10.17077/omia.1036DOI: 10.17077/omia.1036
Williams, B. M., Zheng, Y., Chen, K., & Harding, S. (2015). Retinal Fundus Image Deconvolution. Poster session presented at the meeting of Mathematical Imaging with Biomedical Applications Workshop. CMIT, University of Liverpool.
Zhang, J., & Chen, K. (2015). Variational image registration by a total fractional-order variation model. Journal of Computational Physics, 293, 442-461. doi:10.1016/j.jcp.2015.02.021DOI: 10.1016/j.jcp.2015.02.021
Williams, B. M., Chen, K., & Harding, S. P. (2015). A new constrained total variational deblurring model and its fast algorithm. NUMERICAL ALGORITHMS, 69(2), 415-441. doi:10.1007/s11075-014-9904-2DOI: 10.1007/s11075-014-9904-2
A fast algorithm for automatic segmentation and extraction of a single object by active surfaces (Journal article)
Zhang, J., Chen, K., & Gould, D. A. (2015). A fast algorithm for automatic segmentation and extraction of a single object by active surfaces. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 92(6), 1251-1274. doi:10.1080/00207160.2014.931943DOI: 10.1080/00207160.2014.931943
Ibrahim, M., Chen, K., & Brito-Loeza, C. (2015). A novel variational model for image registration using Gaussian curvature. Retrieved from http://arxiv.org/abs/1504.07643v1
Zhao, Y., Rada, L., Chen, K., Harding, S., & Zheng, Y. (2015). Automated Vessel Segmentation Using Infinite Perimeter Active Contour Model with Hybrid Region Information with Application to Retinal Images. IEEE Transactions on Medical Imaging, 34(9), 1797-1807. doi:10.1109/TMI.2015.2409024DOI: 10.1109/TMI.2015.2409024
A New Study of Blind Deconvolution with Implicit Incorporation of Nonnegativity Constraints (Journal article)
Chen, K., Harding, S. P., Williams, B. M., & Zheng, Y. (2015). A New Study of Blind Deconvolution with Implicit Incorporation of Nonnegativity Constraints. International Journal of Computational Mathematics, 2015, 1-17. doi:10.1155/2015/860263DOI: 10.1155/2015/860263
Spencer, J., & Chen, K. (2015). A CONVEX AND SELECTIVE VARIATIONAL MODEL FOR IMAGE SEGMENTATION. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 13(6), 1453-1472. doi:10.4310/CMS.2015.v13.n6.a5DOI: 10.4310/CMS.2015.v13.n6.a5
Advanced Methods in Variational Learning: Segmentation with Intensity Inhomogeneity (Chapter)
Spencer, J., & Chen, K. (2015). Advanced Methods in Variational Learning: Segmentation with Intensity Inhomogeneity. In Mathematical Problems in Data Science (pp. 171-187). Springer International Publishing. doi:10.1007/978-3-319-25127-1_10DOI: 10.1007/978-3-319-25127-1_10
Mathematical Modeling and Analysis of Soft Computing (Journal article)
Ding, S., Shi, Z., Chen, K., & Azar, A. T. (2015). Mathematical Modeling and Analysis of Soft Computing. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015. doi:10.1155/2015/578321DOI: 10.1155/2015/578321
2014
Williams, B. M., & Chen, K. (2014). Image Deconvolution Techniques. Poster session presented at the meeting of LMS Inverse Problems Meeting - Tomographic Reconstructions from Boundadry Data. University of Leeds.
An automatic regularization parameter selection algorithm in the total variation model for image deblurring (Journal article)
Chen, K., Piccolomini, E. L., & Zama, F. (2014). An automatic regularization parameter selection algorithm in the total variation model for image deblurring. NUMERICAL ALGORITHMS, 67(1), 73-92. doi:10.1007/s11075-013-9775-yDOI: 10.1007/s11075-013-9775-y
A relaxed fixed point method for a mean curvature-based denoising model (Journal article)
Yang, F., Chen, K., Yu, B., & Fang, D. (2014). A relaxed fixed point method for a mean curvature-based denoising model. OPTIMIZATION METHODS & SOFTWARE, 29(2), 274-285. doi:10.1080/10556788.2013.788650DOI: 10.1080/10556788.2013.788650
A relaxed fixed point method for a mean curvature-based denoising model (Journal article)
Yang, F., Chen, K., Yu, B., & Fang, D. (2014). A relaxed fixed point method for a mean curvature-based denoising model. Optimization Methods and Software, 29(2), 274-285. doi:10.1080/10556788.2013.788650DOI: 10.1080/10556788.2013.788650
A restarted iterative homotopy analysis method for two nonlinear models from image processing (Journal article)
Ghanbari, B., Rada, L., & Chen, K. (2014). A restarted iterative homotopy analysis method for two nonlinear models from image processing. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 91(3), 661-687. doi:10.1080/00207160.2013.807340DOI: 10.1080/00207160.2013.807340
A LOCAL INFORMATION BASED VARIATIONAL MODEL FOR SELECTIVE IMAGE SEGMENTATION (Journal article)
Zhang, J., Chen, K., Yu, B., & Gould, D. A. (2014). A LOCAL INFORMATION BASED VARIATIONAL MODEL FOR SELECTIVE IMAGE SEGMENTATION. INVERSE PROBLEMS AND IMAGING, 8(1), 293-320. doi:10.3934/ipi.2014.8.293DOI: 10.3934/ipi.2014.8.293
A new iterative algorithm for mean curvature-based variational image denoising (Journal article)
Sun, L., & Chen, K. (2014). A new iterative algorithm for mean curvature-based variational image denoising. BIT NUMERICAL MATHEMATICS, 54(2), 523-553. doi:10.1007/s10543-013-0448-yDOI: 10.1007/s10543-013-0448-y
A variational model and its numerical solution for local, selective and automatic segmentation (Journal article)
Rada, L., & Chen, K. (2014). A variational model and its numerical solution for local, selective and automatic segmentation. NUMERICAL ALGORITHMS, 66(2), 399-430. doi:10.1007/s11075-013-9741-8DOI: 10.1007/s11075-013-9741-8
2013
Improved Selective Segmentation Model Using One Level-Set (Journal article)
Rada, L., & Chen, K. (2013). Improved Selective Segmentation Model Using One Level-Set. Journal of Algorithms & Computational Technology, 7(4), 509-540. doi:10.1260/1748-3018.7.4.509DOI: 10.1260/1748-3018.7.4.509
Mathematical deblurring of images for non-blind and blind restoration (Conference Paper)
Williams, B. M., Chen, K., Zheng, Y., & Harding, S. P. (2013). Mathematical deblurring of images for non-blind and blind restoration. In 25th Biennial Numerical Analysis Conference. University of Strathclyde.
A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data (Chapter)
Harris, P. J., & Chen, K. (2013). A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data. In Integral Methods in Science and Engineering (pp. 175-182). Springer New York. doi:10.1007/978-1-4614-7828-7_12DOI: 10.1007/978-1-4614-7828-7_12
A general model for multiphase texture segmentation and its applications to retinal image analysis (Journal article)
Zheng, Y., & Chen, K. (2013). A general model for multiphase texture segmentation and its applications to retinal image analysis. BIOMEDICAL SIGNAL PROCESSING AND CONTROL, 8(4), 374-381. doi:10.1016/j.bspc.2013.02.004DOI: 10.1016/j.bspc.2013.02.004
A new variational model for removal of combined additive and multiplicative noise and a fast algorithm for its numerical approximation (Journal article)
Chumchob, N., Chen, K., & Brito-Loeza, C. (2013). A new variational model for removal of combined additive and multiplicative noise and a fast algorithm for its numerical approximation. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 90(1), 140-161. doi:10.1080/00207160.2012.709625DOI: 10.1080/00207160.2012.709625
Efficient Homotopy Method for Total Variation Image Registration (Conference Paper)
Zhang, J., Chen, K., & Yu, B. (2013). Efficient Homotopy Method for Total Variation Image Registration. In 2013 International Conference on Computer Sciences and Applications. IEEE. doi:10.1109/csa.2013.159DOI: 10.1109/csa.2013.159
Fast iterative algorithms for solving the minimization of curvature-related functionals in surface fairing (Journal article)
Brito-Loeza, C., & Chen, K. (2013). Fast iterative algorithms for solving the minimization of curvature-related functionals in surface fairing. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 90(1), 92-108. doi:10.1080/00207160.2012.720370DOI: 10.1080/00207160.2012.720370
Introduction to variational image-processing models and applications (Journal article)
Chen, K. (2013). Introduction to variational image-processing models and applications. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 90(1), 1-8. doi:10.1080/00207160.2012.757073DOI: 10.1080/00207160.2012.757073
On a Variational Model for Selective Image Segmentation of Features with Infinite Perimete (Journal article)
Rada, L., & Chen, K. (2013). On a Variational Model for Selective Image Segmentation of Features with Infinite Perimete. Journal of Mathematical Research with Applications, 33(3), 253-272. doi:10.3770/j.issn:2095-2651.2013.03.001DOI: 10.3770/j.issn:2095-2651.2013.03.001
2012
Advanced mathematical methods for medical image enhancement (Presentation material)
Williams, B. M., Chen, K., Zheng, Y., & Harding, S. P. (2012). Advanced mathematical methods for medical image enhancement. University of Liverpool.
A Restarted Iterative Homotopy Analysis Method for Three-dimensional Image Segmentation (Chapter)
Rada, L., Chen, K., & Ghanbari, B. (2012). A Restarted Iterative Homotopy Analysis Method for Three-dimensional Image Segmentation. In Unknown Book (pp. 178-185). Retrieved from https://www.webofscience.com/
Selective Variational Image Segmentation Combined with Registration: models and algorithms (Chapter)
Chen, K. (2012). Selective Variational Image Segmentation Combined with Registration: models and algorithms. In Unknown Book (pp. 5-8). Retrieved from https://www.webofscience.com/
Improved variational image registration model and a fast algorithm for its numerical approximation (Journal article)
Chumchob, N., & Chen, K. (2012). Improved variational image registration model and a fast algorithm for its numerical approximation. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 28(6), 1966-1995. doi:10.1002/num.20710DOI: 10.1002/num.20710
AN ITERATIVE LAGRANGE MULTIPLIER METHOD FOR CONSTRAINED TOTAL-VARIATION-BASED IMAGE DENOISING (Journal article)
Zhang, J., Chen, K., & Yu, B. (2012). AN ITERATIVE LAGRANGE MULTIPLIER METHOD FOR CONSTRAINED TOTAL-VARIATION-BASED IMAGE DENOISING. SIAM JOURNAL ON NUMERICAL ANALYSIS, 50(3), 983-1003. doi:10.1137/110829209DOI: 10.1137/110829209
A Hierarchical Algorithm for Multiphase Texture Image Segmentation (Journal article)
Zheng, Y., & Chen, K. (2012). A Hierarchical Algorithm for Multiphase Texture Image Segmentation. ISRN Signal Processing, 2012, 1-11. doi:10.5402/2012/781653DOI: 10.5402/2012/781653
A blind deconvolution model for images corrupted by gaussian blur (Conference Paper)
Williams, B. M., Chen, K., Zheng, Y., & Harding, S. P. (2012). A blind deconvolution model for images corrupted by gaussian blur. In Essex-Greenwich-Hertfordshire Workshop on Applied and Numerical Mathematics - Multiscale Problems. University of Greenwich.
A New Variational Model with Dual Level Set Functions for Selective Segmentation (Journal article)
Rada, L., & Chen, K. (2012). A New Variational Model with Dual Level Set Functions for Selective Segmentation. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 12(1), 261-283. doi:10.4208/cicp.190111.210611aDOI: 10.4208/cicp.190111.210611a
EFFICIENT HOMOTOPY SOLUTION AND A CONVEX COMBINATION OF ROF AND LLT MODELS FOR IMAGE RESTORATION (Journal article)
Yang, F., Chen, K., & Yu, B. (2012). EFFICIENT HOMOTOPY SOLUTION AND A CONVEX COMBINATION OF ROF AND LLT MODELS FOR IMAGE RESTORATION. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 9(4), 907-927. Retrieved from https://www.webofscience.com/
Williams, B. M., chen, K., zheng, Y., & Harding, S. (2012, July 9). Advanced blur removal methods with applications to retinal imaging for ophthalmology. In Medical Image Understanding and Analysis. Swansea University.
Mathematical methods for blind image deblurring (Conference Paper)
Williams, B. M., Chen, K., Zheng, Y., & Harding, S. P. (2012). Mathematical methods for blind image deblurring. In DITANET Symposium: Quantum Systems and Research(ers) at Accelerators.
Coefficient of Variation Based Image Selective Segmentation Model Using Active Contours (Journal article)
Badshah, N., Chen, K., Ali, H., & Murtaza, G. (2012). Coefficient of Variation Based Image Selective Segmentation Model Using Active Contours. East Asian Journal on Applied Mathematics, 2(2), 150-169. doi:10.4208/eajam.090312.080412aDOI: 10.4208/eajam.090312.080412a
HOMOTOPY CURVE TRACKING FOR TOTAL VARIATION IMAGE RESTORATION (Journal article)
Yang, F., Chen, K., & Yu, B. (2012). HOMOTOPY CURVE TRACKING FOR TOTAL VARIATION IMAGE RESTORATION. JOURNAL OF COMPUTATIONAL MATHEMATICS, 30(2), 177-196. doi:10.4208/jcm.1107-m3423DOI: 10.4208/jcm.1107-m3423
Homotopy method for a mean curvature-based denoising model (Journal article)
Yang, F., Chen, K., & Yu, B. (2012). Homotopy method for a mean curvature-based denoising model. APPLIED NUMERICAL MATHEMATICS, 62(3), 185-200. doi:10.1016/j.apnum.2011.12.001DOI: 10.1016/j.apnum.2011.12.001
Topics of contemporary computational mathematics (Journal article)
Vigo-Aguiar, J., Reboredo, J. C., & Calle, H. R. (2012). Topics of contemporary computational mathematics. International Journal of Computer Mathematics, 89(3), 265-267. doi:10.1080/00207160.2012.649131DOI: 10.1080/00207160.2012.649131
A 3D multi-grid algorithm for the Chan-Vese model of variational image segmentation (Journal article)
Zhang, J., Chen, K., & Yu, B. (2012). A 3D multi-grid algorithm for the Chan-Vese model of variational image segmentation. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 89(2), 160-189. doi:10.1080/00207160.2011.632410DOI: 10.1080/00207160.2011.632410
Coefficient of Variation Based Image Selective Segmentation Model Using Active Contours (Journal article)
Badshah, N. (2012). Coefficient of Variation Based Image Selective Segmentation Model Using Active Contours. East Asian Journal on Applied Mathematics, 2(2), 150-169. doi:10.4208/eajam.090312.190412aDOI: 10.4208/eajam.090312.190412a
Homotopy Method for Image Restoration Combining Total Variation Minimization and a Second-Order Functional (Journal article)
Yang, F. L., Chen, K., & Yu, B. (2012). Homotopy Method for Image Restoration Combining Total Variation Minimization and a Second-Order Functional. International Journal of Numerical Analysis and Modeling, 9(4), 831-851. Retrieved from http://www.math.ualberta.ca/ijnam/Volume-9-2012/No-4-12/2012-04-08.pdf
2011
Mathematical methods and algorithms for restoring retinal images with blur and blind blur (Conference Paper)
Williams, B. M., Chen, K., Zheng, Y., & Harding, S. P. (2011). Mathematical methods and algorithms for restoring retinal images with blur and blind blur. In Ophthalmology Image Analysis Workshop. University of Liverpool.
A robust multigrid approach for variational image registration models (Journal article)
Chumchob, N., & Chen, K. (2011). A robust multigrid approach for variational image registration models. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 236(5), 653-674. doi:10.1016/j.cam.2011.06.026DOI: 10.1016/j.cam.2011.06.026
A FOURTH-ORDER VARIATIONAL IMAGE REGISTRATION MODEL AND ITS FAST MULTIGRID ALGORITHM (Journal article)
Chumchob, N., Chen, K., & Brito-Loeza, C. (2011). A FOURTH-ORDER VARIATIONAL IMAGE REGISTRATION MODEL AND ITS FAST MULTIGRID ALGORITHM. MULTISCALE MODELING & SIMULATION, 9(1), 89-128. doi:10.1137/100788239DOI: 10.1137/100788239
A NONLINEAR MULTIGRID SOLVER WITH LINE GAUSS-SEIDEL-SEMISMOOTH-NEWTON SMOOTHER FOR THE FENCHEL PRE-DUAL IN TOTAL VARIATION BASED IMAGE RESTORATION (Journal article)
Chen, K., Dong, Y., & Hintermueller, M. (2011). A NONLINEAR MULTIGRID SOLVER WITH LINE GAUSS-SEIDEL-SEMISMOOTH-NEWTON SMOOTHER FOR THE FENCHEL PRE-DUAL IN TOTAL VARIATION BASED IMAGE RESTORATION. INVERSE PROBLEMS AND IMAGING, 5(2), 323-339. doi:10.3934/ipi.2011.5.323DOI: 10.3934/ipi.2011.5.323
Efficient Iterative Methods for Fast Solution of Integral Operators Related Problems (Chapter)
Chen, K. (2011). Efficient Iterative Methods for Fast Solution of Integral Operators Related Problems. In Integral Methods in Science and Engineering (pp. 79-90). Birkhäuser Boston. doi:10.1007/978-0-8176-8238-5_9DOI: 10.1007/978-0-8176-8238-5_9
2010
Multigrid Algorithm for High Order Denoising (Journal article)
Brito-Loeza, C., & Chen, K. (2010). Multigrid Algorithm for High Order Denoising. SIAM JOURNAL ON IMAGING SCIENCES, 3(3), 363-389. doi:10.1137/080737903DOI: 10.1137/080737903
A parallel implementation of overlapping Schwarz method for the dual reciprocity method (Journal article)
Chen, K., & Shanazari, K. (2010). A parallel implementation of overlapping Schwarz method for the dual reciprocity method. APPLIED MATHEMATICS AND COMPUTATION, 216(11), 3355-3364. doi:10.1016/j.amc.2010.04.063DOI: 10.1016/j.amc.2010.04.063
On High-Order Denoising Models and Fast Algorithms for Vector-Valued Images (Journal article)
Brito-Loeza, C., & Chen, K. (2010). On High-Order Denoising Models and Fast Algorithms for Vector-Valued Images. IEEE TRANSACTIONS ON IMAGE PROCESSING, 19(6), 1518-1527. doi:10.1109/TIP.2010.2042655DOI: 10.1109/TIP.2010.2042655
A MULTILEVEL ALGORITHM FOR SIMULTANEOUSLY DENOISING AND DEBLURRING IMAGES (Journal article)
Chan, R. H., & Chen, K. (2010). A MULTILEVEL ALGORITHM FOR SIMULTANEOUSLY DENOISING AND DEBLURRING IMAGES. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 32(2), 1043-1063. doi:10.1137/080741410DOI: 10.1137/080741410
A Variational Approach for Discontinuity-Preserving Image Registration (Journal article)
Chumchob, N., & Chen, K. (2010). A Variational Approach for Discontinuity-Preserving Image Registration. East-West Journal of Mathematics, 2010, 266-282.
Image Selective Segmentation under Geometrical Constraints Using an Active Contour Approach (Journal article)
Badshah, N., & Chen, K. (2010). Image Selective Segmentation under Geometrical Constraints Using an Active Contour Approach. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 7(4), 759-778. doi:10.4208/cicp.2009.09.026DOI: 10.4208/cicp.2009.09.026
International Journal of Modern Mathematics (Journal article)
Brito, C., & Chen, K. (2010). International Journal of Modern Mathematics. Fast Numerical Algorithms for Euler's Elastica Inpainting Model, 5(2), 157-182.
2009
An efficient method for evaluating the integral of a class of highly oscillatory functions (Journal article)
Harris, P. J., & Chen, K. (2009). An efficient method for evaluating the integral of a class of highly oscillatory functions. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 230(2), 433-442. doi:10.1016/j.cam.2008.12.026DOI: 10.1016/j.cam.2008.12.026
On Two Multigrid Algorithms for Modeling Variational Multiphase Image Segmentation (Journal article)
Badshah, N., & Chen, K. (2009). On Two Multigrid Algorithms for Modeling Variational Multiphase Image Segmentation. IEEE TRANSACTIONS ON IMAGE PROCESSING, 18(5), 1097-1106. doi:10.1109/TIP.2009.2014260DOI: 10.1109/TIP.2009.2014260
A new study of the Burton and Miller method for the solution of a 3D Helmholtz problem (Journal article)
Chen, K., Cheng, J., & Harris, P. J. (2009). A new study of the Burton and Miller method for the solution of a 3D Helmholtz problem. IMA JOURNAL OF APPLIED MATHEMATICS, 74(2), 163-177. doi:10.1093/imamat/hxp002DOI: 10.1093/imamat/hxp002
A robust affine image registration method (Journal article)
Chumchob, N., & Chen, K. (2009). A robust affine image registration method. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 6(2), 311-334. Retrieved from https://www.webofscience.com/
Synetic superimposition of dental 3D data: application in twin studies. (Chapter)
Smith, R. N., Townsend, G., Chen, K., & Brook, A. (2009). Synetic superimposition of dental 3D data: application in twin studies.. In Unknown Book (Vol. 13, pp. 142-147). doi:10.1159/000242407DOI: 10.1159/000242407
2008
MULTIGRID METHOD FOR A MODIFIED CURVATURE DRIVEN DIFFUSION MODEL FOR IMAGE INPAINTING (Journal article)
Brito-Loeza, C., & Chen, K. (2008). MULTIGRID METHOD FOR A MODIFIED CURVATURE DRIVEN DIFFUSION MODEL FOR IMAGE INPAINTING. JOURNAL OF COMPUTATIONAL MATHEMATICS, 26(6), 856-875. Retrieved from https://www.webofscience.com/
Multigrid method for the Chan-Vese model in variational segmentation (Journal article)
Badshah, N., & Chen, K. (2008). Multigrid method for the Chan-Vese model in variational segmentation. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 4(2), 294-316. Retrieved from https://www.webofscience.com/
Novel algorithms based on test function for tracing Hopf bifurcation and analysis of power system voltage stability index (Journal article)
Wang, Q., & Ke, C. (2008). Novel algorithms based on test function for tracing Hopf bifurcation and analysis of power system voltage stability index. Diangong Jishu Xuebao/Transactions of China Electrotechnical Society, 23(1), 120-128.
2007
On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholz equation (Journal article)
Hawkins, S. C., Chen, K., & Harris, P. J. (2007). On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholz equation. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 4(1), 48-62. Retrieved from https://www.webofscience.com/
A nonlinear multigrid method for total variation minimization from image restoration (Journal article)
Chen, K., & Tai, X. -C. (2007). A nonlinear multigrid method for total variation minimization from image restoration. JOURNAL OF SCIENTIFIC COMPUTING, 33(2), 115-138. doi:10.1007/s10915-007-9145-9DOI: 10.1007/s10915-007-9145-9
Fast iterative and preconditioning methods for linear and non-linear systems (Journal article)
Chen, K. (2007). Fast iterative and preconditioning methods for linear and non-linear systems. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 84(8), 1115. doi:10.1080/00207160701356399DOI: 10.1080/00207160701356399
Multilevel algorithm for a Poisson noise removal model with total-variation regularization (Journal article)
Chan, R. H., & Chen, K. (2007). Multilevel algorithm for a Poisson noise removal model with total-variation regularization. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 84(8), 1183-1198. doi:10.1080/00207160701450390DOI: 10.1080/00207160701450390
An accelerated algebraic multigrid algorithm for total-variation denoising (Journal article)
Chen, K., & Savage, J. (2007). An accelerated algebraic multigrid algorithm for total-variation denoising. BIT NUMERICAL MATHEMATICS, 47(2), 277-296. doi:10.1007/s10543-007-0123-2DOI: 10.1007/s10543-007-0123-2
A parallel implementation of the overlapping Schwarz method for the Dual Reciprocity method (Journal article)
Shanazari, K., & Chen, K. (2007). A parallel implementation of the overlapping Schwarz method for the Dual Reciprocity method. Applied Numer. Math. (submitted). Retrieved from http://www.elsevier.com/
An efficient method for evaluating the integral of a class of highly oscillatory functions (Conference Paper)
Harris, P. J., & Chen, K. (2007). An efficient method for evaluating the integral of a class of highly oscillatory functions. In J. Trevelyan (Ed.), 6th UK Conf. on Boundary Integral Methods (pp. 31-40). Durham: Durham University Press.
Efficient parallelization of the iterative solution of a coupled fluid-structure interaction problem (Journal article)
Hughes, M. D., & Chen, K. (2007). Efficient parallelization of the iterative solution of a coupled fluid-structure interaction problem. CONCURRENCY AND COMPUTATION-PRACTICE & EXPERIENCE, 19(10), 1423-1445. doi:10.1002/cpe.1183DOI: 10.1002/cpe.1183
Fast multilevel algorithm for a minimization problem in impulse noise removal (Journal article)
Chan, R. H., & Chen, K. (2008). Fast multilevel algorithm for a minimization problem in impulse noise removal. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 30(3), 1474-1489. doi:10.1137/060654931DOI: 10.1137/060654931
Iterative methods for solving the dual formulation arising from image restoration (Journal article)
Chan, T. F., Chen, K., & Carter, J. L. (2007). Iterative methods for solving the dual formulation arising from image restoration. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 26, 299-311. Retrieved from https://www.webofscience.com/
On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholtz equation (Journal article)
Hawkins, S. H., Chen, K., & Harris, P. J. (2007). On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholtz equation. International Journal of Numerical Analysis and Modeling, 1-20. Retrieved from http://www.math.ualberta.ca/ijnam/contents.htm
2006
An optimization-based multilevel algorithm for total variation image denoising (Journal article)
Chan, T. F., & Chen, K. E. (2006). An optimization-based multilevel algorithm for total variation image denoising. MULTISCALE MODELING & SIMULATION, 5(2), 615-645. doi:10.1137/050644999DOI: 10.1137/050644999
On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation (Journal article)
Chan, T. F., & Chen, K. (2006). On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. NUMERICAL ALGORITHMS, 41(4), 387-411. doi:10.1007/s11075-006-9020-zDOI: 10.1007/s11075-006-9020-z
A two-level sparse approximate inverse preconditioner for unsymmetric matrices (Journal article)
Chen, K., & Hughes, M. D. (2006). A two-level sparse approximate inverse preconditioner for unsymmetric matrices. IMA JOURNAL OF NUMERICAL ANALYSIS, 26(1), 11-24. doi:10.1093/imanum/dri031DOI: 10.1093/imanum/dri031
A two-level sparse approximate inverse preconditioner for unsymmetric matrices (Journal article)
Chen, K., & Hughes, M. D. (2006). A two-level sparse approximate inverse preconditioner for unsymmetric matrices. IMA Journal of Numerical Analysis, 26(5), 11-24.
An implicit wavelet sparse approximate inverse preconditioner (Journal article)
Hawkins, S. C., & Chen, K. (2005). An implicit wavelet sparse approximate inverse preconditioner. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 27(2), 667-686. doi:10.1137/S1064827503423500DOI: 10.1137/S1064827503423500
Nonlinear Multilevel Schemes for Solving the Total Variation Image Minimization Problem (Chapter)
Chan, T. F., Chen, K., & Tai, X. -C. (2006). Nonlinear Multilevel Schemes for Solving the Total Variation Image Minimization Problem. In X. -C. Tai, K. -A. Lie, T. F. Chan, & S. Osher (Eds.), Image Processing Based On Partial Differential Equations (Vol. 1, pp. 265-288). Berlin: Springer-Verlag. Retrieved from http://www.springer.com/
On multigrids for solving a class of improved total variation based PDE models (Chapter)
Savage, J., Chen, K., & al, E. (2006). On multigrids for solving a class of improved total variation based PDE models. In Proceedings of the 1st PDE-based image processingc conf. (Vol. 1, pp. 69-94). Berlin: Springer-Verlag.
2005
AN OPERATOR SPLITTING PRECONDITIONER FOR MATRICES ARISING FROM A WAVELET BOUNDARY ELEMENT METHOD FOR THE HELMHOLTZ EQUATION (Journal article)
HAWKINS, S. C., CHEN, K. E., & HARRIS, P. J. (2005). AN OPERATOR SPLITTING PRECONDITIONER FOR MATRICES ARISING FROM A WAVELET BOUNDARY ELEMENT METHOD FOR THE HELMHOLTZ EQUATION. International Journal of Wavelets, Multiresolution and Information Processing, 03(04), 601-620. doi:10.1142/s0219691305001044DOI: 10.1142/s0219691305001044
An improved and accelerated non-linear multigrid method for total-variation denoising (Journal article)
Savage, J., & Chen, K. (2005). An improved and accelerated non-linear multigrid method for total-variation denoising. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 82(8), 1001-1015. doi:10.1080/00207160500069904DOI: 10.1080/00207160500069904
A parallel implementation of the overlapping Schwarz method for the Dual Reciprocity method (Journal article)
Shanazari, K., & Chen, K. (2005). A parallel implementation of the overlapping Schwarz method for the Dual Reciprocity method. Journal of Computational and Applied Mathematics (Submitted), 20 pages. Retrieved from http://www.sciencedirect.com/science/journal/03770427
A parallel non-overlapping domain decomposition dual reciprocity method. (Conference Paper)
Shanazari, K., & Chen, K. (2005). A parallel non-overlapping domain decomposition dual reciprocity method.. In K. Chen (Ed.), 5th UK Confernece on Boundary Integral Methods Vol. 5 (pp. 100-105). Liverpool: Liverpool University.
Advances in Boundary Integral Methods (Conference Paper)
Chen, K. (Ed.) (2005). Advances in Boundary Integral Methods. In The 5th UK conference on boundary integral methods (pp. vi 267). Liverpool: Liverpool University.
Matrix Preconditioning Techniques and Applications (Book)
Chen, K. (2005). Matrix Preconditioning Techniques and Applications (Vol. 19). M. J. Ablowitz, S. H. Davis, E. J. Hinch, A. Iserles, J. Ockendon, & P. J. Olver (Eds.), Cambridge (528 pages): SIAM publications. doi:10.2277/0521838282DOI: 10.2277/0521838282
On a Nonlinear Multigrid Algorithm with Primal Relaxation for the Image Total Variation Minimisation (Journal article)
Chan, T. F., & Chen, K. (2005). On a Nonlinear Multigrid Algorithm with Primal Relaxation for the Image Total Variation Minimisation. UCLA CAM Report 05-68, 2005, 1-20. Retrieved from ftp://ftp.math.ucla.edu/pub/camreport/cam05-68.pdf
On a multigrid method for an inverse problem from modelling image deblurring (Conference Paper)
Chen, K., & Savage, J. (2005). On a multigrid method for an inverse problem from modelling image deblurring. In K. Chen (Ed.), 5th UK conference on boundary integral methods (pp. 229-241). Liverpool: Liverpool University.
Some Results and observations on Solving High Frequency Acoustic Radiation Problems (Conference Paper)
Harris, P. J., & Chen, K. (2005). Some Results and observations on Solving High Frequency Acoustic Radiation Problems. In K. Chen (Ed.), 5th UK conference on boundary integral methods (pp. 12-19). Liverpool: Liverpool University.
2004
An efficient preconditioned iterative solver for solving a coupled fluid structure interaction problem (Journal article)
Hughes, M. D., & Chen, K. (2004). An efficient preconditioned iterative solver for solving a coupled fluid structure interaction problem. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 81(5), 583-594. doi:10.1080/00207160410001660808DOI: 10.1080/00207160410001660808
Fast computational methods for locating fold points for the power flow equations (Journal article)
Hussein, A., & Chen, K. (2004). Fast computational methods for locating fold points for the power flow equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 164, 419-430. doi:10.1016/S0377-0427(03)00651-4DOI: 10.1016/S0377-0427(03)00651-4
New wavelet preconditioner for solving boundary integral equations over nonsmooth boundaries (Journal article)
Hawkins, S. C., & Chen, K. (2004). New wavelet preconditioner for solving boundary integral equations over nonsmooth boundaries. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 81(3), 353-360. doi:10.1080/00207160410001661348DOI: 10.1080/00207160410001661348
2003
An overlapping domain decomposition dual reciprocity method (Journal article)
Shanazari, K., & Chen, K. (2003). An overlapping domain decomposition dual reciprocity method. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 27(10), 945-953. doi:10.1016/S0955-7997(03)00072-9DOI: 10.1016/S0955-7997(03)00072-9
Flexible parallelization of fast wavelet transforms (Journal article)
Ford*, J. M., Chen, K., & Ford‡, N. J. (2003). Flexible parallelization of fast wavelet transforms. Parallel Algorithms and Applications, 18(4), 155-169. doi:10.1080/10637190310001633637DOI: 10.1080/10637190310001633637
On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem (Journal article)
Harris, P. J., & Chen, K. (2003). On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 156(2), 303-318. doi:10.1016/S0377-0427(02)00918-4DOI: 10.1016/S0377-0427(02)00918-4
A performance-index guided continuation method for fast computation of saddle-node bifurcation in power systems (Journal article)
Chen, K., Hussein, A., Bradley, M. E., & Wan, H. (2003). A performance-index guided continuation method for fast computation of saddle-node bifurcation in power systems. IEEE TRANSACTIONS ON POWER SYSTEMS, 18(2), 753-760. doi:10.1109/TPWRS.2003.811203DOI: 10.1109/TPWRS.2003.811203
A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method (Journal article)
Shanazari, K., & Chen, K. (2003). A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method. Numerical Algorithms, 32(1), 275-286.
A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method (Journal article)
Shanazari, K., & Chen, K. (2003). A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method. NUMERICAL ALGORITHMS, 32(2-4), 275-286. doi:10.1023/A:1024027723984DOI: 10.1023/A:1024027723984
Effective sparse preconditioners of the two-level deflation type for fast solution of the Helmholtz equation and related problems (Conference Paper)
Chen, K., Hawkins, S. C., & Hughes, M. D. (2003). Effective sparse preconditioners of the two-level deflation type for fast solution of the Helmholtz equation and related problems. In S. Amini (Ed.), Fourth UK Conference on Boundary Integral Methods (pp. 147-156). Salford: Salford University.
Fast iterative solution of coupled 3-dimensional fluid-structure interaction problems (Conference Paper)
Hughes, M. D., & Chen, K. (2003). Fast iterative solution of coupled 3-dimensional fluid-structure interaction problems. In A. B. Movchan, & G. M. L. Gladwell (Eds.), IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics Vol. 113 (pp. 595-604). Liverpool: Kluwer Academic Publishers.
On a recursive schur preconditioner for iterative solution of a class of dense matrix problems (Journal article)
Ford, J. M., Chen, K., & Evans, D. (2003). On a recursive schur preconditioner for iterative solution of a class of dense matrix problems. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 80(1), 105-122. doi:10.1080/00207160304659DOI: 10.1080/00207160304659
On efficient methods for detecting Hopf bifurcation with applications to power system instability prediction (Journal article)
Hussein, A., & Chen, K. (2003). On efficient methods for detecting Hopf bifurcation with applications to power system instability prediction. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 13(5), 1247-1262. doi:10.1142/S0218127403007163DOI: 10.1142/S0218127403007163
On two variants of an algebraic wavelet preconditioner (Journal article)
Chan, T. F., & Chen, K. (2002). On two variants of an algebraic wavelet preconditioner. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 24(1), 260-283. doi:10.1137/S1064827501391436DOI: 10.1137/S1064827501391436
2002
Parallel algorithms of the Purcell method for direct solution of linear systems (Journal article)
Chen, K., & Lai, C. H. (2002). Parallel algorithms of the Purcell method for direct solution of linear systems. PARALLEL COMPUTING, 28(9), 1275-1291. doi:10.1016/S0167-8191(02)00133-3DOI: 10.1016/S0167-8191(02)00133-3
Speeding up the solution of thermal EHL problems (Journal article)
Ford, J. M., & Chen, K. (2002). Speeding up the solution of thermal EHL problems. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 53(10), 2305-2310. doi:10.1002/nme.377DOI: 10.1002/nme.377
On a class of new and practical performance indexes for approximation of fold bifurcations of nonlinear power flow equations (Journal article)
Chen, K., Hussein, A., & Wan, H. B. (2002). On a class of new and practical performance indexes for approximation of fold bifurcations of nonlinear power flow equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 140(1-2), 119-141. doi:10.1016/S0377-0427(01)00402-2DOI: 10.1016/S0377-0427(01)00402-2
On adapting test function methods for fast detection of fold bifurcations in power systems (Journal article)
Hussein, A., Chen, K., & Wan, H. B. (2002). On adapting test function methods for fast detection of fold bifurcations in power systems. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 12(1), 179-185. doi:10.1142/S0218127402004255DOI: 10.1142/S0218127402004255
2001
An analysis of Seydel's test function methods for nonlinear power flow equations (Journal article)
Chen, K., Hussein, A., & Wan, H. B. (2001). An analysis of Seydel's test function methods for nonlinear power flow equations. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 78(3), 451-470. doi:10.1080/00207160108805123DOI: 10.1080/00207160108805123
An efficient variant of Gauss-Jordan type algorithms for direct and parallel solution of dense linear systems (Journal article)
Chen, K., & Evans, D. (2001). An efficient variant of Gauss-Jordan type algorithms for direct and parallel solution of dense linear systems. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 76(3), 387-410. doi:10.1080/00207160108805034DOI: 10.1080/00207160108805034
An analysis of sparse approximate inverse preconditioners for boundary integral equations (Journal article)
Chen, K. (2001). An analysis of sparse approximate inverse preconditioners for boundary integral equations. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 22(4), 1058-1078. doi:10.1137/S0895479898348040DOI: 10.1137/S0895479898348040
Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation (Journal article)
Chen, K., & Harris, P. J. (2001). Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation. APPLIED NUMERICAL MATHEMATICS, 36(4), 475-489. doi:10.1016/S0168-9274(00)00021-0DOI: 10.1016/S0168-9274(00)00021-0
Wavelet-based preconditioners for dense matrices with non-smooth local features (Journal article)
Ford, J., & Chen, K. (2001). Wavelet-based preconditioners for dense matrices with non-smooth local features. BIT, 41(2), 282-307. doi:10.1023/A:1021990422981DOI: 10.1023/A:1021990422981
2000
A new wavelet transform preconditioner for iterative solution of Elastohydrodynamic Lubrication problems (Journal article)
Ford, J., Chen, K., & Scales, L. (2000). A new wavelet transform preconditioner for iterative solution of Elastohydrodynamic Lubrication problems. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 75(4), 497-513. doi:10.1080/00207160008805000DOI: 10.1080/00207160008805000
1999
The rate of convergence of the viscosity method for a nonlinear hyperbolic system (Journal article)
Lu, Y. G., Sweby, P. K., & Chen, K. (1999). The rate of convergence of the viscosity method for a nonlinear hyperbolic system. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 38(4), 435-445. doi:10.1016/S0362-546X(98)00206-5DOI: 10.1016/S0362-546X(98)00206-5
Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems (Journal article)
Chen, K. E. (1999). Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems. Electronic Transactions on Numerical Analysis, 8, 138-153.
Improving the accuracy of DRBEM for convective partial differential equations (Journal article)
Chen, K. (1999). Improving the accuracy of DRBEM for convective partial differential equations. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 23(8), 639-644. doi:10.1016/S0955-7997(99)00028-4DOI: 10.1016/S0955-7997(99)00028-4
Simulation of colloid-polymer systems using dissipative particle dynamics (Journal article)
Gibson, J. B., Zhang, K., Chen, K., Chynoweth, S., & Manke, C. W. (1999). Simulation of colloid-polymer systems using dissipative particle dynamics. MOLECULAR SIMULATION, 23(1), 1-41. doi:10.1080/08927029908022109DOI: 10.1080/08927029908022109
The equilibrium of a velocity-Verlet type algorithm for DPD with finite time steps (Journal article)
Gibson, J. B., & Chen, K. (1999). The equilibrium of a velocity-Verlet type algorithm for DPD with finite time steps. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 10(1), 241-261. doi:10.1142/S0129183199000176DOI: 10.1142/S0129183199000176
1998
Simulation of particle adsorption onto a polymer-coated surface using the dissipative particle dynamics method (Journal article)
Gibson, J. B., Chen, K., & Chynoweth, S. (1998). Simulation of particle adsorption onto a polymer-coated surface using the dissipative particle dynamics method. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 206(2), 464-474. doi:10.1006/jcis.1998.5734DOI: 10.1006/jcis.1998.5734
On a class of preconditioning methods for dense linear systems from boundary elements (Journal article)
Chen, K. (1998). On a class of preconditioning methods for dense linear systems from boundary elements. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 20(2), 684-698. doi:10.1137/S1064827596304058DOI: 10.1137/S1064827596304058
1997
On the boundary element dual reciprocity method (Journal article)
Jumarhon, B., Amini, S., & Chen, K. (1997). On the boundary element dual reciprocity method. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 20(3), 205-211. doi:10.1016/S0955-7997(97)00084-2DOI: 10.1016/S0955-7997(97)00084-2
1994
2-DIMENSIONAL ADAPTIVE QUADRILATERAL MESH GENERATION (Journal article)
CHEN, K. (1994). 2-DIMENSIONAL ADAPTIVE QUADRILATERAL MESH GENERATION. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 10(10), 815-825. doi:10.1002/cnm.1640101008DOI: 10.1002/cnm.1640101008
1993
ON AN ADAPTIVE TIME-STEPPING STRATEGY FOR SOLVING NONLINEAR DIFFUSION-EQUATIONS (Journal article)
CHEN, K., BAINES, M. J., & SWEBY, P. K. (1993). ON AN ADAPTIVE TIME-STEPPING STRATEGY FOR SOLVING NONLINEAR DIFFUSION-EQUATIONS. JOURNAL OF COMPUTATIONAL PHYSICS, 105(2), 324-332. doi:10.1006/jcph.1993.1078DOI: 10.1006/jcph.1993.1078
1992
SELECTION OF OPTIMAL MESHES FOR THE SOLUTION OF NONLINEAR DOPANT DIFFUSION-PROBLEMS (Journal article)
CHEN, K. (1992). SELECTION OF OPTIMAL MESHES FOR THE SOLUTION OF NONLINEAR DOPANT DIFFUSION-PROBLEMS. COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 11(4), 433-443. doi:10.1108/eb010104DOI: 10.1108/eb010104
1991
ON THE SOLUTION OF NONSMOOTH BOUNDARY ELEMENT EQUATIONS BY PRECONDITIONED CONJUGATE-GRADIENT METHODS (Conference Paper)
CHEN, K. (1991). ON THE SOLUTION OF NONSMOOTH BOUNDARY ELEMENT EQUATIONS BY PRECONDITIONED CONJUGATE-GRADIENT METHODS. In COMPUTATIONAL MECHANICS, VOLS 1 AND 2 (pp. 1251-1256). Retrieved from https://www.webofscience.com/
CONJUGATE-GRADIENT METHODS FOR THE SOLUTION OF BOUNDARY INTEGRAL-EQUATIONS ON A PIECEWISE SMOOTH BOUNDARY (Journal article)
CHEN, K. (1991). CONJUGATE-GRADIENT METHODS FOR THE SOLUTION OF BOUNDARY INTEGRAL-EQUATIONS ON A PIECEWISE SMOOTH BOUNDARY. JOURNAL OF COMPUTATIONAL PHYSICS, 97(1), 127-143. doi:10.1016/0021-9991(91)90042-JDOI: 10.1016/0021-9991(91)90042-J