Variational Image Restoration Publications
                --- Denoising, deblurring and inpainting

  1. SIAM Journal on Imaging Sciences (Image restoration and theory of fractional TV)
    "A Total Fractional-Order Variation Model for Image Restoration with Non-homogeneous Boundary Conditions and its Numerical Solution", by Jianping Zhang and Ke Chen, SIAM Journal on Imaging Sciences, Vol. 8 (4), 2015, pp. 2487-2518.
    [Download Local PDF // See also PDF arXiv] http://dx.doi.org/10.1137/14097121X + Try our Software]
  2. Numerical Methods for Partial Differential Equations (Inverse problems, Image Restoration)
    "Image denoising using the Gaussian curvature of the image surface", by Carlos Brito-Loeza, Ke Chen and Victor Uc-Cetina, to appear 2016.
    [See Local PDF]
  3. Journal of Mathematical Imaging and Vision (JMIV) (Image deblurring and selection of optimal parameters)
    "Iterative constrained minimization for vectorial TV image deblurring", by K. Chen, E Loli Piccolomini, F. Zama, Journal of Mathematical Imaging and Vision, 2016, to appear. [See Local PDF]
  4. International Journal Numerical Analysis and Modeling (Fast algorithms and new denoising models)
    "An adaptive second order variational model for image denoising", by Fenlin Yang, Ke Chen and Bo Yu,
    to appear.
  5. International Journal of Computational Mathematics (Image Deblurring, Blind deconvolution)
    ``A New Study of Blind Deconvolution with Implicit Incorporation of Nonnegativity Constraints'',
    by Ke Chen, Simon P. Harding, Bryan M. Williams, and Yalin Zheng, Vol 2015 (2015), ID 860263
    (http://dx.doi.org/10.1155/2015/860263) [See Free PDF]
  6. International Journal Numerical Analysis and Modeling, Series B (New effective denoising models)
    ``Image denoising using LLT model and iterated total variation refinement", by F. L. Yang, K. Chen, B. Yu and Zhigang Yan (2014), International Journal of Numerical Analysis and Modeling, Vol 5 (3), pp.255-268. [Download PDF here]
  7. BIT Numerical Mathematics (Image denoising, high order methods)
    "A New Iterative Algorithm for Mean Curvature-based Variational Image Denoising", by Li Sun and Ke Chen, vol. 54, pp. 523-553, 2014. [See Local PDF]
  8. Numerical Algorithms (Image deblurring, Optimal Parameter)
    "An automatic regularization parameter selection algorithm in the total variation model for image deblurring",
    by Ke Chen, Elena Piccolomini and Fabiana Zama (2014), DOI 10.1007/s11075-013-9775-y. [See Local PDF]
  9. Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques
    "A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data", by P. J. Harris and K. Chen, In: Proceedings, eds. C. Constanda et al., Springer/Birkhauser, pp.175-182. [Access]
  10. Journal of Optimization Methods and Software (High order denoising, Variational model, Fast algorithms)
    A Relaxed Fixed Point Method for a Mean Curvature-Based Denoising Model, by F L Yang, Ke Chen, B Yu and D H Fang, Volume 29, Issue 2, pp.274-285, 2014. [See Local PDF]
  11. International Journal of Computer Mathematics (Variational models, Fast algorithms)
    A restarted iterative homotopy analysis method for two nonlinear models from image processing, by Behzad Ghanbari, Lavdie Rada and Ke Chen, Volume 91 (3), pp.661-687, 2014. [See Local PDF]
  12. International Journal of Computer Mathematics (Surface Denoising, Variational model)
    "On Fast Iterative Algorithms For Solving The Minimisation Of Curvature-Related Functionals In Surface Fairing", by Carlos Brito and Ke Chen, Vol 90 (1), pp.92-108. [See Local PDF]
  13. International Journal of Computer Mathematics (Combined Denoising, Variational model)
    "Variational Model for Removal of Combined Additive and Multiplicative Noise", by Noppadol Chumchob, Ke Chen and Carlos Brito, Vol 90(1), pp.140-161. [See Local PDF]
  14. International Journal of Computer Mathematics (Imaging, Variational models)
    "Introduction to variational image-processing models and applications", by Ke Chen, Vol 90(1), pp.1-8. Editorial. [LOCAL PDF]
  15. Journal of Applied Numerical Mathematics (Inverse Problems, High order denoising)
    Homotopy method for a mean curvature-based denoising model, by F L Yang, Ke Chen and Bo Yu, Vol 62 (3), March 2012, pp.185-200. [LOCAL PDF]
  16. International Journal of Numerical Analysis and Modeling (Inverse problems, Image Denosing)
    "Homotopy Method for Image Restoration Combining Total Variation Minimization and a Second-Order Functional", by F L Yang, Ke Chen and Bo Yu, Vol 9 (4), pp.831-851. [Download PDF here]
  17. Journal of Computational Mathematics (Inverse problems, Variational Image Denoising)
    ``Homotopy Curve Tracking for Total Variation Image Restoration", by Fenlin Yang, Ke Chen and Bo Yu, Vol 30 (2), pp.177-196, 2012. [LOCAL PDF]
  18. SIAM Journal on Numerical Analysis (Inverse problems, Image Denosing)
    "An Iterative Lagrange Multiplier Method for Constrained Total Variation-Based Image Denoising", by J P Zhang, Ke Chen and Bo Yu, 50(3), 983-1003. [LOCAL PDF]
  19. Proceedings of IMSE2010 (Dense matrix problems, Algorithms, Applications)
    "Efficient Iterative Methods for Fast Solution of Integral Operators Related Problems", by Ke Chen, in: Integral Methods in Science and Engineering - Computational and analytic aspects, eds. C Constanda and P J Harris, pp.79-90, ISBN 978-0-8176-8237-8.
  20. Inverse Problem and Imaging (Inverse problems, Image Denoising)
    "Nonlinear multigrid solver with line Gauss-Seidel-semismooth-Newton smoother for the Fenchel pre-dual in total variation based image restoration", by Ke Chen, Yiqiu Dong, and Michael Hintermueller, Volume 5 (2), pp.323-339. [Download LOCAL PDF]
  21. SIAM Journal on Imaging Sciences (Inverse problems, High Order Image Denoising)
    ``Multigrid Algorithm for High Order Denoising'', by Carlos Brito and Ke Chen, Volume 3 (3), pp.363-389. [Download PDF via SIAM, LOCAL PDF]
  22. International Journal of Modern Mathematics (Inverse problems, Image Inpainting)
    ``Fast Numerical Algorithms for Euler's Elastica Inpainting Model'', by Carlos Brito and Ke Chen, 2010, Vol 5(2), pp.157-182. [Download PDF, LOCAL PDF]
  23. IEEE Transactions on Image Processing (Inverse problems, Colour Image Denoising)
    ``On high order denoising models and fast algorithms for vector-valued images'', by Carlos Brito and Ke Chen, Volume 19 (6), pp.1518-1527 (2010). [Download PDF and LOCAL PDF]
  24. SIAM Journal on Scientific Computing (Inverse problems, Variational Image Restoration)
    ``A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images'', by Raymond H Chan and Ke Chen, Volume 32, Issue 2, pp. 1043-1063 (2010). [LOCAL PDF]
  25. SIAM Journal on Scientific Computing (Inverse problems, Variational Image Restoration)
    Fast multilevel algorithm for a minimization problem in impulse noise removal, by Raymond H Chan and Ke Chen, Volume 30 (3), pp.1474-1489. [See Abstract] and Paper (pdf in gz)]
  26. Journal of Computational Mathematics (Inverse problems, Variational Image Inpainting)
    Multigrid Method For A Modified Curvature Driven Diffusion Model For Image Inpainting, by Carlos Brito-Loeza and Ke Chen, Vol. 26, No.6 (2008), pp. 856-875. [Download Paper (pdf in gz)]
  27. Journal of Scientific Computing (Inverse problems, Variational Image Restoration)
    "A nonlinear multigrid method for total variation minimization from image restoration", by Ke Chen and Xue-Cheng Tai, Vol. 33 (2), pp.115-138. [Download Paper (pdf in zip)]
  28. International Journal of Computer Mathematics (Inverse problems, Variational Image Restoration)
    "Multilevel Algorithm for a Poisson Noise Removal Model with Total-Variation Regularization", by Raymond H Chan and Ke Chen, Vol 84 (8), pp.1183-1198. [Download from T&F link Paper (in pdf.zip)]
  29. Electronic Transactions on Numerical Analysis (Inverse problems, Variational Image Restoration)
    "Iterative Methods for Solving the Dual Formulation Arising from Image Restoration" by Tony F. Chan, Ke Chen and J. L. Carter, Vol.26, pp.299-311. [Download Paper (in pdf) ]
  30. BIT Numerical Mathematics (Inverse problems, Variational Image Restoration and Fast Iterative Solver)
    "An Accelerated Algebraic Multigrid Algorithm for Total-Variation Denoising" by Ke Chen and Joe Savage, Vol 47 (2), pp.277-296, June 2007. [Download Paper (in pdf.gz) ]
  31. SIAM J. Multiscale Modeling & Simulation (Variational Image Restoration and Analysis of Multilevel Solver)
    "An Optimization-based Multilevel Algorithm for Total Variation image denoising", by Tony F. Chan and Ke Chen, Vol 5(2), pp.615-645. (See also CAM 06-28).
    [Download Draft and Final (in pdf) ]
  32. Journal of Numerical Algorithms (Inverse problems, Variational Image Restoration and Fast Iterative Solver)
    "On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimization", by Tony F. Chan and Ke Chen, Vol 41, pp.387-411. (See also CAM 05-68). [Download Paper (in pdf) ]
  33. CMA - Proc. 1st PDE Image Processing Conf. (Inverse problems, Variational Image Restoration and Fast Iterative Solver)
    "Nonlinear Multilevel Schemes for Solving the Total Variation Image Minimization Problem" by Tony F. Chan, Ke Chen and Xue-Cheng Tai, In: "Image Processing Based On Partial Differential Equations", eds. X.-C. Tai, K.-A. Lie, T. F. Chan and S. Osher, pp.265-288, Springer-Verlag. [Download Paper (in pdf.gz) ]
  34. CMA - Proc. 1st PDE Image Processing Conf. (Inverse problems, Image Restoration and Fast Iterative Solver)
    "On multigrids for solving a class of improved total variation based PDE models", by Joe Savage and Ke Chen, In: "Image Processing Based On Partial Differential Equations", eds. X.-C. Tai, K.-A. Lie, T.F. Chan and S. Osher, pp.69-94, Springer-Verlag. [Download Paper (in pdf.gz) ]
  35. International Journal of Computer Mathematics (Inverse problems, Image Restoration and Fast Iterative Solver)
    An improved and accelerated nonlinear multigrid method for total-variation denoising, by Joseph Savage and Ke Chen, , Vol 82, (8), pp.1001-1015, 2005. [Download Paper (in pdf.gz) ]
  36. J. Savage and K. CHEN (2005), On a multigrid method for an inverse problem from modeling image deblurring, in: UKBIM5 - Proc. 5th UK conf. on BIE, Liverpool University Press.
  37. Inverse problems (Variational Image Restoration and Fast Iterative Solver)
    A nonlinear multigrid method for curvature equations related to total variation minimization, by Ke Chen and Xue-cheng Tai, UCLA CAM report 05-26 (in PDF).
 

(Contact me [by email] for any questions or return to my home page)