Welcome to
Liverpool Computational Mathematics Research Group's

Selected publications online


Fax: 0151 794 4061 and Tel: 0151 794 4741
Computational Mathematics Group and
Centre for Mathematical Imaging Techniques,
Department of Mathematical Sciences,
The University of Liverpool,
Math Sci Building, Peach Street,
Liverpool L69 7ZL, United Kongdom
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Numerical Analysis and Scientific Computing
----- Mathematical Imaging Techniques -----
See recent Books and those mathscinet papers listed by American Mathematical Society (AMS)
                           
               
2019
2018
2017
2016
2015
  • 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] doi + Try our Software ]
  • Science China Mathematics (Mandarin) (X-ray Tomography and new model)

    On some variational models and their algorithms for axially symmetric objects tomography from a single X-ray source (in Chinese), by Ke Chen and Suhua Wei, Sci Sin Math, 2015, 45: 1537-1548, doi: 10.1360/N012015-00072. [See PDF]

  • IEEE Transactions on Medical Imaging (Image segmentation and new model)

    ``Automated Retinal Vessel Segmentation Using Infinite Perimeter Active Contour Model with Hybrid Region Information", by Yitian Zhao, Lavdie Rada, Ke Chen, Simon P Harding and Yalin Zheng, IEEE Trans. Medical Imaging (TMI), (2015), Vol. 34 (9), pp.1797-1807. [See also PDF]

  • Journal of Computational Physics (Image registration and new model)

    Variational image registration by a total fractional-order variation model, by Jianping Zhang and Ke Chen, Journal of Computational Physics, Vol 293, (2015), pp. 442-461
    [See PDF or DOI information: 10.1016/j.jcp.2015.02.021]
  • Numerical Algorithms (Image deblurring and positivity)

    "A new constrained total variational deblurring model and its fast algorithm", by Bryan M. Williams, Ke Chen, Simon P. Harding, Vol 69 (2), pp 415-441, 2015.
    DOI 10.1007/s11075-014-9904-2
  • 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.

  • Communications in Mathematical Sciences (Image segmentation, new local model)
    "A Convex and Selective Variational Model for Image Segmentation", by Jack Spencer and Ke Chen,
    Vol. 13 (6), pp.1453-1452, 2015. [See Local PDF]
  • 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]
  • International Journal of Computer Mathematics (Image segmentation, 3D local model)
    "A Fast Algorithm for Automatic Segmentation and Extraction of A Single Object By Active Surfaces", by J P Zhang, Ke Chen and D Gould, Vol 92 (6), pp.1251-1274, 2015. DOI:10.1080/00207160.2014.931943
    [See Local PDF + Software ]

2014
2013
2012
2011
  • Journal of Computational and Applied Mathematics (Inverse problems, Image Registration)
    ``A Robust Multigrid Approach for Variational Image Registration Models", by Noppadol Chumchob and Ke Chen, Vol.236 (2011) 653-674. [LOCAL PDF] + [Software ]

  • SIAM J. Multiscale Modeling & Simulation (Inverse problems, Image Registration)
    "A fourth order variational image registration model and its fast multigrid algorithm", by Noppadol Chumchob, Ke Chen and Carlos Brito, Vol 9 (1), pp.89-128, 2011. [Download PDF via SIAM, LOCAL PDF]

  • 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. [Download LOCAL PDF]

  • 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]

2010
2009
2008
2007
2006
  • 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) ]

  • 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) ]

  • IMA Journal of Numerical Analysis (Preconditioner and Fast Iterative Solver)
    A two-level sparse approximate inverse preconditioner for unsymmetric matrices, by Ke Chen and Martyn D. Hughes, Vol 26 (1), pp.11-24. [Download Paper (in pdf.gz) ]

  • 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) ]

  • 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) ]

2005
  • SIAM Journal on Scientific Computing (Wavelets)
    An implicit wavelet approximate inverse preconditioner, by Stuart C. Hawkins and Ke Chen, Vol 27, Number 2, pp. 667-686. [Download Paper (in ps.gz) ]

  • 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) ]

  • International Journal of Wavelets, Multiresolution and Information Processing (Wavelets)
    An operator splitting preconditioner for matrices arising from a wavelet boundary element method for the Helmholtz equation, by Stuart C. Hawkins, Ke Chen and Paul J. Harris, Vol 3 (4), 601-620. [to add: Download Paper (in ps.gz) ]

  • P. J. Harris and K. CHEN (2005), Some Results and observations on Solving High Frequency Acoustic Radiation Problems, in: UKBIM5 - Proc. 5th UK conf. on BIE, Liverpool University Press.

  • 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.

  • K. Shanazari and K. CHEN (2005), A Parallel Non-overlapping Domain De- composition Dual Reciprocity Method, in: UKBIM5 - Proc. 5th UK conf. on BIE, Liverpool University Press.

  • 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).

2004
2003
  • Journal of Parallel Algorithms and Applications, (Parallel method / Wavelets)
    Flexible parallelization of fast wavelet transforms, by Judith M. Ford, Ke Chen and Neville J. Ford, pp.155 - 169, Vol 18 (4).

  • J. Engineering Analysis with Boundary Elements (Domain Decomposition and Boundary Elements)
    An overlapping domain decomposition dual reciprocity method, by Kamal Shanazari and Ke Chen, 2003, vol. 27, pp.845-953. [Download Paper (in ps.gz) ]

  • Journal of Numerical Algorithms (Adaptive Meshes and Boundary Elements) [Download Paper (in ps.gz) ]
    A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method, by Kamal Shanazari and Ke Chen, vol.32, pp.275-286, 2003.

  • Journal of Computational and Applied Mathematics (Boundary Integral Equation).
    On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three dimensional exterior Helmholtz problem, by Paul Harris and Ke Chen, vol. 156, pp.303-318, 2003. [Download Paper (in ps.gz)]

  • IEEE Transactions on Power Systems (Bifurcation method)
    A performance-index guided continuation method for fast computation of saddle-node bifurcation in power systems, by Ke Chen, Anwar Hussein, Martin Bradley and Haibin Wan, Vol.18, No.2, pp 753-760, May 2003. [Download Paper (in ps.gz)]

  • International Journal of Computer Mathematics (Wavelets)
    On a recursive Schur preconditioner for iterative solution of a class of dense matrix problems, Judith Ford, Ke Chen and David Evans, vol. 80, no. 1, pp.105-122, 2003. [Download Paper (in ps.gz)]

  • International Journal of Bifurcation & Chaos (Bifurcation method)
    On Efficient Methods for Detecting Hopf Bifurcation with Applications to Power System Instability Prediction, by Anwar Hussein and Ke Chen, Vol. 13, No. 5, pp.1247-1262 (2003). [Download Abs and Paper (in ps.gz)]

  • Proc. UK BIE4 (Domain Decomposition and Boundary Elements)
    A discontinuous Boundary Element Method for solving the three dimensional exterior Helmholtz problem, by Ke Chen and Paul J. Harris (2003), University of Salford (ed. S Amini), pp.107-116. [Download Paper (in pdf.gz) ]

  • (Wavelets)
    S. Hawkins, K. CHEN and P. J. Harris (2003). Easily inverted approximation type preconditioners based on 2D wavelets transforms over unstructured grids, Proc. 4th UK conf. on BIE, Salford University Press (ed. S Amini, Salford University Press), pp.147-156.

  • (Preconditioners)
    K. CHEN, S. Hawkins and M. D. Hughes (2003). On sparse preconditioners of the two-level deflation type, Proc. 4th UK conf. on BIE, Salford University Press (ed. S Amini), pp.165-174.

  • (Variational denoising)
    J. Savage and K. CHEN (2003). A fast iterative solver for image deconvolution, Proc. 4th UK conf. on BIE, Salford University Press (ed. S Amini), pp.185-194.

  • (Bifurcation method)
    K. CHEN and A. HUSSEIN (2003). Fast bifurcation methods for nonlinear sys- tems of power equations modelling voltage collapse, pp.15-29, in: Numerical Lin- ear Algebra and Optimisation, ed. Y. X. Yuan, Science Press.

2002
2001
  • Journal of Applied Numerical Mathematics (Boundary Integral Equation and Iterative Solver)
    Efficient preconditioners for iterative solution of the boundary element equations for the three dimensional Helmholtz equation, by Ke Chen and Paul Harris, vol.36, pp.475-489, 2001. [Download Paper (in ps.Z) or abstract (in txt)]

  • Journal of Numerical Algorithms ( Wavelets and Iterative Solver.)
    An algorithm for accelerated computation of DWTPer-based band preconditioners, by Judy Ford and Ke Chen, vol.26 (2), pp.167-172, 2001. [Download Paper (in ps.gz) ]

  • BIT (J. Numerical Mathamtics) - ( Wavelets and Iterative Solver.)
    Wavelet-based preconditioners for dense matrices with non-smooth local features, by Judy Ford and Ke Chen, vol.41 (2), pp.282-307, 2001. [Download Paper (in ps.gz) or abstract (in txt)]

  • SIAM Journal on Matrix Analysis and Applications ( Boundary Integral Equation and Iterative Solver.)
    An analysis of sparse approximate inverse preconditioners for boundary integral equations, by Ke Chen, vol.22 (3), 1058-1078, 2001. [Download Paper (in ps.Z) or abstract (in txt)]

  • International Journal of Computer Mathematics (Bifurcation method)
    An analysis of Seydel's test function methods nonlinear power flow equations, by Ke Chen, Anwar Hussein and Haibin Wan, vol. 78 No. 1/2, pp.451-470, 2001. [Download Paper (in ps.gz)]

  • J. M. Ford and K. CHEN (2001). A wavelet-based preconditioning method for a class of dense matrices, Proc. 4th Int. Symp. Algorithms for Approximation, University of Huddersfield, UK.

  • K. Shananzari and K. CHEN (2001). On an adaptive mesh algorithm with minimal distance control for the dual reciprocity method, Proc. 4th Int. Symp. Algorithms for Approximation, eds. J C Mason et al, University of Huddersfield, UK.

  • K. CHEN, P. J. Harris and M. D. Hughes (2001). On iterative solution of the fluid structure interaction problem, in: UKBIM3 - Proc. 3rd UK conf. on BIE, Brighton University Press, UK.

  • K. SHANANZARI and K. CHEN (2001). An adaptive mesh method for improving the accuracy of the DRBEM for a class of partial differential equations, in: UKBIM3 - Proc. 3rd UK conf. on BIE, ed. P J Harris, Brighton University Press, UK.

  • Wavelets and Parallel Computing.
    Small-scale Parallel Implementation of Fast Wavelet Transforms, by Judith Ford, Ke Chen and Neville J. Ford, Numerical Analysis Report 388, 2001, Manchester Centre for Computational Mathematics. [Download Paper (in ps.gz)]

  • Wavelets and Parallel Computing.
    Parallel Implementation of Fast Wavelet Transforms, by Judith Ford, Ke Chen and Neville J. Ford, Numerical Analysis Report 389, 2001, Manchester Centre for Computational Mathematics. [Download Paper (in ps.gz)]

2000
1999
1998
  • Partial Differential Equation
    A numerical algorithm for the solution of the governing equations of thermal plasmas,
    by Bob E. Blundell, Ke Chen and Mike T. C. Fang, Proc. 6th Numerical Methods for Fluid Dynamics, 1998, eds M. J. Baines, et al, (Oxford University Press).

  • Partial Differential Equation
    A Computational Fluid Dynamics Method Suitable for Modelling Auto-Expansion Circuit-Breakers by Bob E. Blundell, Ke Chen and Mike T. C. Fang, in: Proc. 7th Symp. Physics of Switching Arcs.

  • Particle Simulation and Ordinary Differential Equation.
    Simulation of Particle Adsorption onto a Polymer Coated Surface using the Dissipative Particle Dynamics Method
    by Jonathan Gibson, Ke Chen, Simon Chynoweth, Journal of Colloid and Interface Science, vol.206, 464-474, 1998. See abstract.

  • Particle Simulation and Ordinary Differential Equation.
    J. B. GIBSON, K. CHEN and S CHYNOWETH (1998). `Simulation of soot agglomeration in diesel engine lubricating oil', in: Proc. 6th Numerical Methods for Fluid Dynamics, 1998, eds M. J. Baines, et al, (Oxford University Press).

  • Boundary Integral Equation and Iterative solver.
    On a class of preconditioning methods for dense linear systems from boundary elements
    by Ke Chen, SIAM Journal on Scientific Computing, vol.20 (2), 684-698, 1998. See abstract.

  • Iterative Solver and Generalised Boundary Integral Equation
    On a new preconditioning algorithm for iterative solution of generalized boundary element systems, by Ke Chen, JDUT, 49, 1-18, 1998. [Download Paper (in pdf) ]

  • Parallel Computing and Boundary Elements
    Solutions of boundary element equations by a flexible elimination process, by C. H. Lai and K. Chen, Contemp. Math., 218, 311-317, 1998.

    Iterative Solver and 2D Boundary Integral Equation
    `Preconditioning of 2D singular integral equations', by K. Chen, in: DDM9 Proc. 9th Conf. Domain Decomposition Methods, eds. P. E. Bjorstad et al.

1997
1996
1995
  • 1995. Solution of singular boundary element equations based on domain splitting,
    by Ke Chen,
    In: DDM8 ``Domain Decomposition Methods in Science and Engineering''
    by R. Glowinski / Z C Shi et al, pp.43-50, (John-Wiley).

1994
1993
1992
  • 1992. Selection of optimal meshes for the solution of nonlinear dopant diffusion problems,
    by K. Chen, International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 11 (4),433-444.

1991
  • 1991. Conjugate gradient methods for the solution of boundary integral equations on a piecewise smooth boundary,
    by K. Chen, Journal of Computational Physics, 97 (1), 127-143.

1990
1989
   
Books

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