Centre for Mathematical Imaging and Vision

Research Output

Research output per year 2008 2010 2013 2014 2019

• 35 Journal article

Research output per year

Research output per year

Search results

• 2019

  A Corrected Tensor Nuclear Norm Minimization Method for Noisy Low-Rank Tensor Completion

  Zhang, X. & Ng, M. K., 27 Jun 2019, In: SIAM Journal on Imaging Sciences. 12, 2, p. 1231-1273 43 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Minimization Problem 100%
  • Tensor nuclear Norm 100%
  • Low-rank Tensor Completion 100%
  • Tensor nuclear Norm Minimization 100%
  • Tensor 100%
  41 Citations (Scopus)

  37 Downloads (Pure)
• 2017

  Nonconvex-TV Based Image Restoration with Impulse Noise Removal

  Zhang, X., Bai, M. & Ng, M. K., 28 Sept 2017, In: SIAM Journal on Imaging Sciences. 10, 3, p. 1627-1667 41 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Nonconvex 100%
  • Image Reconstruction 100%
  • Impulse Noise Removal 100%
  • Image Restoration 100%
  • Impulse Noise 100%
  63 Citations (Scopus)

  84 Downloads (Pure)
• 2016

  A coupled total variation model with curvature driven for image colorization

  Jin, Z., Zhou, C. & Ng, M. K., Nov 2016, In: Inverse Problems and Imaging. 10, 4, p. 1037-1055 19 p.

  Research output: Contribution to journal › Journal article › peer-review

  • Total Variation Model 100%
  • Image Colorization 100%
  • Colorization 100%
  • Curvature-driven 100%
  • Coupled Total Variation 100%
  8 Citations (Scopus)

• Phase Retrieval from Incomplete Magnitude Information via Total Variation Regularization

  Chang, H., Lou, Y., Ng, M. K. & Zeng, T., 17 Nov 2016, In: SIAM Journal on Scientific Computing. 38, 6, p. A3672-A3695 24 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Fourier Transform 100%
  • Total Variation Regularization 100%
  • Incomplete Data 100%
  • Phase Retrieval 100%
  • Phase Retrieval Problem 100%
  44 Citations (Scopus)

  68 Downloads (Pure)
• 2015

  Alternating direction method of multipliers for nonlinear image restoration problems

  Chen, C., Ng, M. K. & Zhao, X. L., Jan 2015, In: IEEE Transactions on Image Processing. 24, 1, p. 33-43 11 p.

  Research output: Contribution to journal › Journal article › peer-review

  • Numerical Scheme 100%
  • Alternating Direction Method of Multipliers 100%
  • Total Variation 100%
  • Objective Function 100%
  • Image Restoration Problem 100%
  44 Citations (Scopus)

• Subspace clustering with automatic feature grouping

  Gan, G. & Ng, M. K. P., 1 Nov 2015, In: Pattern Recognition. 48, 11, p. 3703-3713 11 p.

  Research output: Contribution to journal › Journal article › peer-review

  • High-dimensional Data 100%
  • Subspace Clustering 100%
  • Feature Grouping 100%
  • Automatic Features 100%
  • High Dimensional Data 100%
  38 Citations (Scopus)
• 2014

  A New Convex Optimization Model for Multiplicative Noise and Blur Removal

  Zhao, X. L., Wang, F. & Ng, M. K., 4 Mar 2014, In: SIAM Journal on Imaging Sciences. 7, 1, p. 456-475 20 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Multiplicative Noise Removal 100%
  • Multiplicative Noise 100%
  • Image Variable 100%
  • Noise Variables 100%
  • Blur Removal 100%
  125 Citations (Scopus)

  102 Downloads (Pure)

• A Variational Approach for Image Decolorization by Variance Maximization

  Jin, Z., Li, F. & Ng, M. K., 13 May 2014, In: SIAM Journal on Imaging Sciences. 7, 2, p. 944-968 25 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Color Image 100%
  • Variational Approach 100%
  • Variance Maximization 100%
  • Image Decolorization 100%
  • Maximization 100%
  20 Citations (Scopus)

  37 Downloads (Pure)

• Birkhoff-von Neumann Theorem for Multistochastic Tensors

  Cui, L. B., Li, W. & Ng, M. K., 17 Jul 2014, In: SIAM Journal on Matrix Analysis and Applications. 35, 3, p. 956-973 18 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Birkhoff-von Neumann Theorem 100%
  • Permutation Tensor 100%
  • Von Neumann 100%
  • Tensor 100%
  • Convex Combination 50%
  27 Citations (Scopus)

  86 Downloads (Pure)

• Collective prediction of protein functions from protein-protein interaction networks

  Wu, Q., Ye, Y., Ng, M. K., Ho, S. S. & Shi, R., 2014, In: BMC Bioinformatics. 15, S9.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  • Protein-protein Interaction Network 100%
  • Collective Prediction 100%
  • Protein Function Prediction 100%
  • Prediction Function 100%
  • Protein-Protein Interaction Networks 100%
  16 Citations (Scopus)

• On the limiting probability distribution of a transition probability tensor

  Li, W. & Ng, M. K., Mar 2014, In: Linear and Multilinear Algebra. 62, 3, p. 362-385 24 p.

  Research output: Contribution to journal › Journal article › peer-review

  • Tensor 100%
  • Transition Probability 100%
  • Probability Distribution 100%
  • Limiting Probability 100%
  • Transition Probability Tensor 100%
  144 Citations (Scopus)

• Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations

  Pan, J., Ke, R., Ng, M. K. & Sun, H. W., 18 Nov 2014, In: SIAM Journal on Scientific Computing. 36, 6, p. A2698-A2719 22 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Toeplitz 100%
  • Toeplitz Matrix 100%
  • Coefficient Matrix 100%
  • Discretized 100%
  • Preconditioning Technique 100%
  139 Citations (Scopus)

  133 Downloads (Pure)

• Weighted Toeplitz Regularized Least Squares Computation for Image Restoration

  Ng, M. K. & Pan, J., 20 Feb 2014, In: SIAM Journal on Scientific Computing. 36, 1, p. B94-B121 28 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Regularized Least Squares 100%
  • Toeplitz 100%
  • Eigenvalues 100%
  • Image Reconstruction 100%
  • Hermitian 100%
  23 Citations (Scopus)

  67 Downloads (Pure)
• 2013

  A Variational Approach for Image Stitching II: Using Image Gradients

  Ng, M. K. & Wang, W., 11 Jul 2013, In: SIAM Journal on Imaging Sciences. 6, 3, p. 1345-1366 22 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Image Stitching 100%
  • Stitched Image 100%
  • Variational Approach 100%
  • Image Gradient 100%
  • Energy Functional 100%
  7 Citations (Scopus)

  40 Downloads (Pure)

• A Variational Histogram Equalization Method for Image Contrast Enhancement

  Wang, W. & Ng, M. K., 24 Sept 2013, In: SIAM Journal on Imaging Sciences. 6, 3, p. 1823-1849 27 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Variational 100%
  • Image Contrast Enhancement 100%
  • Local Transformation 100%
  • Histogram Equalization 100%
  • Regularization 100%
  19 Citations (Scopus)

  68 Downloads (Pure)

• Markov-Miml: A Markov chain-based multi-instance multi-label learning algorithm

  Wu, Q., Ng, M. K. & Ye, Y., Oct 2013, In: Knowledge and Information Systems. 37, 1, p. 83-104 22 p.

  Research output: Contribution to journal › Journal article › peer-review

  • Class Label 100%
  • Markov Chain 100%
  • Multi-label Learning 100%
  • Chain-based 100%
  • Multi-label Learning Algorithm 100%
  26 Citations (Scopus)

• MultiFacTV: Module detection from higher-order time series biological data

  Li, X., Ye, Y., Ng, M. & Wu, Q., 2013, In: BMC Genomics. 14, S2.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  • High-order 100%
  • Ordering Time 100%
  • Module Detection 100%
  • Biological Data 100%
  • Arabidopsis thaliana 100%
  15 Citations (Scopus)

• On ℓ₁ Data Fitting and Concave Regularization for Image Recovery

  Nikolova, M., Ng, M. K. & Tam, C. P., 24 Jan 2013, In: SIAM Journal on Scientific Computing. 35, 1, p. A397-A430 34 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Image Recovery 100%
  • Cost Function 100%
  • Concave Regularization 100%
  • Regularization 100%
  • Data Fitting 40%
  50 Citations (Scopus)

  41 Downloads (Pure)

• Stratified sampling for feature subspace selection in random forests for high dimensional data

  Ye, Y., Wu, Q., Zhexue Huang, J., Ng, M. K. & Li, X., Mar 2013, In: Pattern Recognition. 46, 3, p. 769-787 19 p.

  Research output: Contribution to journal › Journal article › peer-review

  • High-dimensional Data 100%
  • Subspace Selection 100%
  • Random Forest 100%
  • Informative Features 100%
  • Feature Subspace 100%
  149 Citations (Scopus)

• Total Variation Structured Total Least Squares Method for Image Restoration

  Zhao, X. L., Wang, W., Zeng, T. Y., Huang, T. Z. & Ng, M. K., 5 Dec 2013, In: SIAM Journal on Scientific Computing. 35, 6, p. B1304-B1320 17 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Point Spread Function 100%
  • Total Variation 100%
  • Image Reconstruction 100%
  • Restored Image 100%
  • Two-variable 100%
  76 Citations (Scopus)

  91 Downloads (Pure)
• 2012

  Perturbation Analysis for Antitriangular Schur Decomposition

  Chen, X. S., Li, W. & Ng, M. K., 17 Apr 2012, In: SIAM Journal on Matrix Analysis and Applications. 33, 2, p. 325-335 11 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Perturbation Analysis 100%
  • Schur Decomposition 100%
  • Numerical Examples 25%
  • Complex Matrices 25%
  • Perturbation Bound 25%
  4 Citations (Scopus)

  41 Downloads (Pure)

• SNP selection and classification of genome-wide SNP data using stratified sampling random forests

  Wu, Q., Ye, Y., Liu, Y. & Ng, K. P., Sept 2012, In: IEEE Transactions on Nanobioscience. 11, 3, p. 216-227 12 p., 6298047.

  Research output: Contribution to journal › Journal article › peer-review

  • Single nucleotide Polymorphism 100%
  • Random Forest 100%
  • Genome-wide Single nucleotide Polymorphisms 100%
  • Stratified Sampling 100%
  • Stratified Random Sample 100%
  48 Citations (Scopus)

• Sparse Orthogonal Linear Discriminant Analysis

  Chu, D., Liao, L. Z. & Ng, M. K., 5 Sept 2012, In: SIAM Journal on Scientific Computing. 34, 5, p. A2421-A2443 23 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Classification Accuracy 100%
  • Optimisation Problem 100%
  • Illustrates 100%
  • Sparsity 100%
  • Frobenius Norm 100%
  6 Citations (Scopus)

  56 Downloads (Pure)
• 2011

  A total variation model for retinex

  Ng, M. K. & Wang, W., 22 Mar 2011, In: SIAM Journal on Imaging Sciences. 4, 1, p. 345-365 21 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Total Variation Model 100%
  • Retinex 100%
  • Total Variation 100%
  • Minimization Problem 50%
  • Numerical Examples 50%
  241 Downloads (Pure)

• Inexact Alternating Direction Methods for Image Recovery

  Ng, M. K., Wang, F. & Yuan, X., 21 Jul 2011, In: SIAM Journal on Scientific Computing. 33, 4, p. 1643-1668 26 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Image Recovery 100%
  • Alternating Direction Method 100%
  • Inexact Alternating Direction Method 100%
  • Subproblem 100%
  • Image Processing 100%
  68 Citations (Scopus)

  77 Downloads (Pure)
• 2010

  A Multiphase Image Segmentation Method Based on Fuzzy Region Competition

  Li, F., Ng, M. K., Zeng, T. Y. & Shen, C., 13 Jul 2010, In: SIAM Journal on Imaging Sciences. 3, 3, p. 277-299 23 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Fuzzy Region Competition 100%
  • Image Segmentation Method 100%
  • Membership Function 100%
  • Multi-phase Image Segmentation 100%
  • Based Segmentation Method 100%
  107 Citations (Scopus)

  98 Downloads (Pure)

• Approximate Inverse Circulant-plus-Diagonal Preconditioners for Toeplitz-plus-Diagonal Matrices

  Ng, M. K. & Pan, J., 21 May 2010, In: SIAM Journal on Scientific Computing. 32, 3, p. 1442-1464 23 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Approximate Inverse 100%
  • Toeplitz 100%
  • Preconditioned Conjugate Gradient Method 100%
  • Diagonal Matrix 100%
  • Circulant 100%
  45 Citations (Scopus)

  79 Downloads (Pure)

• Decay in Functions of Multiband Matrices

  Mastronardi, N., Ng, M. & Tyrtyshnikov, E. E., 7 Oct 2010, In: SIAM Journal on Matrix Analysis and Applications. 31, 5, p. 2721-2737 17 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Matrix Functions 100%
  • Matrix (Mathematics) 100%
  • Hermitian Matrix 50%
  • Diagonal Dominance 50%
  • Multilevel Toeplitz Matrix 50%
  9 Citations (Scopus)

  58 Downloads (Pure)

• Solving Constrained Total-variation Image Restoration and Reconstruction Problems via Alternating Direction Methods

  Ng, M. K., Weiss, P. & Yuan, X., 31 Aug 2010, In: SIAM Journal on Scientific Computing. 32, 5, p. 2710-2736 27 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Total Variation 100%
  • Image Reconstruction 100%
  • Image Restoration Problem 100%
  • Reconstruction Problem 100%
  • Alternating Direction Method 100%
  224 Citations (Scopus)

  90 Downloads (Pure)

• Variational Fuzzy Mumford–Shah Model for Image Segmentation

  Li, F., Ng, M. K. & Li, C., 19 Aug 2010, In: SIAM Journal on Applied Mathematics. 70, 7, p. 2750-2770 21 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Medical Image 100%
  • Energy Functional 100%
  • Minimization Problem 100%
  • Iterative Method 100%
  • Natural Image 100%
  30 Citations (Scopus)

  69 Downloads (Pure)
• 2009

  A New Total Variation Method for Multiplicative Noise Removal

  Huang, Y. M., Ng, M. K. & Wen, Y. W., 14 Jan 2009, In: SIAM Journal on Imaging Sciences. 2, 1, p. 20-40 21 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Total Variation 100%
  • Objective Function 100%
  • Multiplicative Noise 100%
  • Variation Method 100%
  • Multiplicative Noise Removal 100%
  289 Citations (Scopus)

  229 Downloads (Pure)

• Categorical Data Clustering with Automatic Selection of Cluster Number

  Liao, H.-Y. & Ng, M. K., Jan 2009, In: Fuzzy Information and Engineering. 1, 1, p. 5-25 21 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  • Number of Clusters 100%
  • Automatic Selection 100%
  • Categorical Clustering 100%
  • Clustered Data 100%
  • Categorical Data 100%
• 2008

  Efficient Reconstruction of Piecewise Constant Images Using Nonsmooth Nonconvex Minimization

  Nikolova, M., Ng, M. K., Zhang, S. & Ching, W. K., 20 Mar 2008, In: SIAM Journal on Imaging Sciences. 1, 1, p. 2-25 24 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Nonsmooth 100%
  • Efficient Reconstruction 100%
  • Piecewise Constant Images 100%
  • Nonconvex Minimization Problem 100%
  • Regularization 100%
  173 Citations (Scopus)

  40 Downloads (Pure)

• Iterative Algorithms Based on Decoupling of Deblurring and Denoising for Image Restoration

  Wen, Y. W., Ng, M. K. & Ching, W. K., 6 Aug 2008, In: SIAM Journal on Scientific Computing. 30, 5, p. 2655-2674 20 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  File

  • Denoising 100%
  • Deblurring 100%
  • Image Reconstruction 100%
  • Iterative Algorithm 100%
  • Image Restoration 100%
  73 Citations (Scopus)

  41 Downloads (Pure)

• Lipschitz and total-variational regularization for blind deconvolution

  Huang, Y.-M. & Ng, M. K., Jul 2008, In: Communications in Computational Physics. 4, 1, p. 195-206 12 p.

  Research output: Contribution to journal › Journal article › peer-review

  Open Access

  • Total Variation Regularization 100%
  • Blind Deconvolution 100%
  • Lipschitz 100%
  • Regularization 100%
  • Point Spread Function 75%
  7 Citations (Scopus)