## Shen, Jianhong

Compute Distance To:
 Author ID: shen.jianhong Published as: Shen, Jianhong; Shen, Jianhong (Jackie); Shen, J. more...less
 Documents Indexed: 49 Publications since 1995, including 2 Books Co-Authors: 15 Co-Authors with 26 Joint Publications 838 Co-Co-Authors
all top 5

### Co-Authors

 15 single-authored 11 Chan, Tony Fan-Cheong 5 Strang, William Gilbert 3 Jung, Yoon Mo 3 Kang, Sung Ha 3 Yi, Xuexi 2 Osher, Stanley Joel 2 Rota, Gian-Carlo 1 Brown-Schmidt, Sarah 1 Cai, Tianxi 1 Chen, Jiao 1 Cho, Sun-Joo 1 Dai, C. M. 1 De Boeck, Paul 1 Esedoglu, Selim 1 Gebremariam, Tesfay 1 Li, Chong 1 Li, Xianguo 1 Lu, Guoxing 1 Ong, L. S. 1 Taylor, Brian D. 1 Vese, Luminita A. 1 Wang, Wei 1 Wathen, Andrew John 1 Zeng, Ye-Xiong 1 Zhou, Hao-Min
all top 5

### Serials

 5 SIAM Journal on Applied Mathematics 2 Acta Mechanica 2 Applied Mathematics and Optimization 2 Linear Algebra and its Applications 2 Journal of Mathematical Imaging and Vision 2 Applied and Computational Harmonic Analysis 1 International Journal of Modern Physics B 1 American Mathematical Monthly 1 Communications on Pure and Applied Mathematics 1 International Journal of Mechanical Sciences 1 International Journal of Plasticity 1 International Journal of Theoretical Physics 1 Physics Letters. A 1 Psychometrika 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Physica D 1 European Journal of Applied Mathematics 1 IEEE Transactions on Signal Processing 1 SIAM Review 1 Notices of the American Mathematical Society 1 Methods and Applications of Analysis 1 Advances in Computational Mathematics 1 Journal of Computational Analysis and Applications 1 IEEE Transactions on Image Processing 1 International Journal of Pure and Applied Mathematics 1 AMRX. Applied Mathematics Research eXpress 1 International Journal of Quantum Information 1 Topics in Engineering 1 Inverse Problems and Imaging
all top 5

### Fields

 21 Computer science (68-XX) 21 Information and communication theory, circuits (94-XX) 12 Numerical analysis (65-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 4 Partial differential equations (35-XX) 3 Combinatorics (05-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 762 times in 559 Documents Cited by Year
Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127
Chan, Tony F.; Shen, Jianhong (Jackie)
2005
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
2002
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
2002
Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505
Esedoglu, Selim; Shen, Jianhong
2002
The digital TV filter and nonlinear denoising. Zbl 1039.68778
Chan, Tony F.; Osher, Stanley; Shen, Jianhong
2001
Variational PDE models in image processing. Zbl 1168.94315
Chan, Tony F.; Shen, Jianhong; Vese, Luminita
2003
Variational image inpainting. Zbl 1067.68168
Chan, Tony F.; Shen, Jianhong
2005
On the combinatorics of cumulants. Zbl 0978.05006
Rota, Gian-Carlo; Shen, Jianhong
2000
Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001
Chan, Tony; Shen, Jianhong
2000
All polynomials of binomial type are represented by Abel polynomials. Zbl 1003.05011
Rota, Gian-Carlo; Shen, Jianhong; Taylor, Brian D.
1997
Instability of an annular viscous liquid jet. Zbl 0945.76024
Shen, J.; Li, Xianguo
1996
Multiphase image segmentation via Modica-Mortola phase transition. Zbl 1147.68802
Jung, Yoon Mo; Kang, Sung Ha; Shen, Jianhong
2007
On the foundations of vision modeling. I: Weber’s law and Weberized TV restoration. Zbl 1006.91057
Shen, Jianhong
2003
Combinatorics for wavelets: The umbral refinement equation. Zbl 1006.42031
Shen, Jianhong
1999
Asymptotic analysis of Daubechies polynomials. Zbl 0876.42024
Shen, Jianhong; Strang, Gilbert
1996
The potential theory of several intervals and its applications. Zbl 0983.41006
Shen, J.; Strang, G.; Wathen, A. J.
2001
A geometric approach to ergodic non-homogeneous Markov chains. Zbl 0968.60065
Shen, Jianhong
2000
Digitized PDE method for data restoration. Zbl 0969.68173
Osher, Stanley; Shen, Jianhong
2000
On the singular values of Gaussian random matrices. Zbl 0985.15019
Shen, Jianhong
2001
On the role of the BV image model in image restoration. Zbl 1035.94501
Chan, Tony F.; Shen, Jianhong
2003
Total variation wavelet inpainting. Zbl 1478.94019
Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min
2006
Asymptotics of Daubechies filters, scaling functions, and wavelets. Zbl 0929.42022
Shen, Jianhong; Strang, Gilbert
1998
Inpainting based on nonlinear transport and diffusion. Zbl 1027.68139
Chan, Tony F.; Shen, Jianhong
2002
Bayesian video dejittering by the BV image model. Zbl 1055.94505
Shen, Jianhong
2004
Refinement differential equations and wavelets. Zbl 0929.34052
Shen, Jianhong
1998
On the generalized “Lanczos’ generalized derivative”. Zbl 1031.26008
Shen, Jianhong
1999
On wavelet fundamental solutions to the heat equation – heatlets. Zbl 0953.35051
Shen, Jianhong; Strang, Gilbert
2000
Compactification of a set of matrices with convergent infinite products. Zbl 0958.15021
Shen, Jianhong
2000
Weberized Mumford-Shah model with Bose-Einstein photon noise. Zbl 1094.94007
Shen, Jianhong; Jung, Yoon-Mo
2006
A note on wavelets and diffusions. Zbl 1043.42035
Shen, Jianhong
2003
Instability of cylindrical compressible gas jets in viscous liquid streams. Zbl 0912.76018
Shen, J.; Li, X.
1998
Computational electromagnetics using boundary elements: advances in modelling eddy currents. Zbl 0997.78501
Shen, J.
1995
Piecewise $$H^{-1}+H^0+H^1$$ images and the Mumford-Shah-Sobolev model for segmented image decomposition. Zbl 1092.49028
Shen, Jianhong
2005
The asymptotics of optimal (equiripple) filters. Zbl 0978.94026
Shen, Jianhong; Strang, Gilbert
1999
Geometric and stochastic analysis of reaction-diffusion patterns. Zbl 1101.68891
Shen, Jianhong; Jung, Yoon Mo
2005
Quantum TV and applications in image processing. Zbl 1211.94011
Shen, Jianhong; Kang, Sung Ha
2007
Modeling intensive polytomous time-series eye-tracking data: a dynamic tree-based item response model. Zbl 1447.62124
Cho, Sun-Joo; Brown-Schmidt, Sarah; De Boeck, Paul; Shen, Jianhong
2020
Least-squares halftoning via human vision system and Markov gradient descent (LS-MGD): algorithm and analysis. Zbl 1172.94327
Shen, Jianhong
2009
On the foundations of vision modeling. III: Noncommutative monoids of occlusive preimages. Zbl 1478.94083
Shen, Jianhong
2006
Modeling intensive polytomous time-series eye-tracking data: a dynamic tree-based item response model. Zbl 1447.62124
Cho, Sun-Joo; Brown-Schmidt, Sarah; De Boeck, Paul; Shen, Jianhong
2020
Least-squares halftoning via human vision system and Markov gradient descent (LS-MGD): algorithm and analysis. Zbl 1172.94327
Shen, Jianhong
2009
Multiphase image segmentation via Modica-Mortola phase transition. Zbl 1147.68802
Jung, Yoon Mo; Kang, Sung Ha; Shen, Jianhong
2007
Quantum TV and applications in image processing. Zbl 1211.94011
Shen, Jianhong; Kang, Sung Ha
2007
Total variation wavelet inpainting. Zbl 1478.94019
Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min
2006
Weberized Mumford-Shah model with Bose-Einstein photon noise. Zbl 1094.94007
Shen, Jianhong; Jung, Yoon-Mo
2006
On the foundations of vision modeling. III: Noncommutative monoids of occlusive preimages. Zbl 1478.94083
Shen, Jianhong
2006
Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127
Chan, Tony F.; Shen, Jianhong (Jackie)
2005
Variational image inpainting. Zbl 1067.68168
Chan, Tony F.; Shen, Jianhong
2005
Piecewise $$H^{-1}+H^0+H^1$$ images and the Mumford-Shah-Sobolev model for segmented image decomposition. Zbl 1092.49028
Shen, Jianhong
2005
Geometric and stochastic analysis of reaction-diffusion patterns. Zbl 1101.68891
Shen, Jianhong; Jung, Yoon Mo
2005
Bayesian video dejittering by the BV image model. Zbl 1055.94505
Shen, Jianhong
2004
Variational PDE models in image processing. Zbl 1168.94315
Chan, Tony F.; Shen, Jianhong; Vese, Luminita
2003
On the foundations of vision modeling. I: Weber’s law and Weberized TV restoration. Zbl 1006.91057
Shen, Jianhong
2003
On the role of the BV image model in image restoration. Zbl 1035.94501
Chan, Tony F.; Shen, Jianhong
2003
A note on wavelets and diffusions. Zbl 1043.42035
Shen, Jianhong
2003
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
2002
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
2002
Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505
Esedoglu, Selim; Shen, Jianhong
2002
Inpainting based on nonlinear transport and diffusion. Zbl 1027.68139
Chan, Tony F.; Shen, Jianhong
2002
The digital TV filter and nonlinear denoising. Zbl 1039.68778
Chan, Tony F.; Osher, Stanley; Shen, Jianhong
2001
The potential theory of several intervals and its applications. Zbl 0983.41006
Shen, J.; Strang, G.; Wathen, A. J.
2001
On the singular values of Gaussian random matrices. Zbl 0985.15019
Shen, Jianhong
2001
On the combinatorics of cumulants. Zbl 0978.05006
Rota, Gian-Carlo; Shen, Jianhong
2000
Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001
Chan, Tony; Shen, Jianhong
2000
A geometric approach to ergodic non-homogeneous Markov chains. Zbl 0968.60065
Shen, Jianhong
2000
Digitized PDE method for data restoration. Zbl 0969.68173
Osher, Stanley; Shen, Jianhong
2000
On wavelet fundamental solutions to the heat equation – heatlets. Zbl 0953.35051
Shen, Jianhong; Strang, Gilbert
2000
Compactification of a set of matrices with convergent infinite products. Zbl 0958.15021
Shen, Jianhong
2000
Combinatorics for wavelets: The umbral refinement equation. Zbl 1006.42031
Shen, Jianhong
1999
On the generalized “Lanczos’ generalized derivative”. Zbl 1031.26008
Shen, Jianhong
1999
The asymptotics of optimal (equiripple) filters. Zbl 0978.94026
Shen, Jianhong; Strang, Gilbert
1999
Asymptotics of Daubechies filters, scaling functions, and wavelets. Zbl 0929.42022
Shen, Jianhong; Strang, Gilbert
1998
Refinement differential equations and wavelets. Zbl 0929.34052
Shen, Jianhong
1998
Instability of cylindrical compressible gas jets in viscous liquid streams. Zbl 0912.76018
Shen, J.; Li, X.
1998
All polynomials of binomial type are represented by Abel polynomials. Zbl 1003.05011
Rota, Gian-Carlo; Shen, Jianhong; Taylor, Brian D.
1997
Instability of an annular viscous liquid jet. Zbl 0945.76024
Shen, J.; Li, Xianguo
1996
Asymptotic analysis of Daubechies polynomials. Zbl 0876.42024
Shen, Jianhong; Strang, Gilbert
1996
Computational electromagnetics using boundary elements: advances in modelling eddy currents. Zbl 0997.78501
Shen, J.
1995
all top 5

### Cited by 995 Authors

 15 Chen, Ke 13 Schönlieb, Carola-Bibiane 12 Shen, Zuowei 12 Zeng, Tie Yong 11 Tai, Xuecheng 10 Weickert, Joachim 9 Fuchs, Martin 9 Lv, Xiaoguang 9 Shen, Jianhong 8 Bildhauer, Michael 8 Chan, Tony Fan-Cheong 8 Pang, Zhifeng 8 Zhu, Wei 7 Chan, Raymond Hon-Fu 7 Dong, Bin 7 Li, Fang 7 Osher, Stanley Joel 7 Yang, Yufei 6 Burger, Martin 6 Cai, Jian-Feng 6 Duan, Yuping 6 Elmoataz, Abderrahim 6 Ji, Hui 6 Liu, Jun 6 Lou, Yifei 5 Di Nardo, Elvira 5 Guo, Zhichang 5 Senato, Domenico 5 Shen, Lixin 5 Sonar, Thomas 5 Steidl, Gabriele 5 Wu, Boying 4 Ascher, Uri M. 4 Batard, Thomas 4 Calatroni, Luca 4 Fornasier, Massimo 4 Glowinski, Roland 4 Huang, Ting-Zhu 4 Jin, Yan 4 Jost, Jürgen 4 Kang, Sung Ha 4 Lee, Chang-Ock 4 Liu, Wanquan 4 Moakher, Maher 4 Nagy, James Gerard 4 Pan, Zhenkuan 4 Petrullo, Pasquale 4 Scherzer, Otmar 4 Shi, Baoli 4 Valkonen, Tuomo 4 Vese, Luminita A. 4 Wang, Guofang 4 Yu, Bo 4 Zhang, Jianping 3 Aujol, Jean-François 3 Bae, Egil 3 Baravdish, George 3 Benning, Martin 3 Bertozzi, Andrea Louise 3 Boscain, Ugo 3 Bürgel, Andrea 3 Caboussat, Alexandre 3 Carriero, Michele 3 Chumchob, Noppadol 3 Duan, Jinming 3 Feng, Xiaobing 3 Halim, Abdul Hakim 3 Hintermüller, Michael 3 Huang, Haiyang 3 Huang, Hui 3 Kallel, Moez 3 Leaci, Antonio 3 Masnou, Simon 3 Morigi, Serena 3 Ng, Michael Kwok-Po 3 Park, Jongho 3 Pock, Thomas 3 Prandi, Dario 3 Prohl, Andreas 3 Qin, Jing 3 Sachkov, Yuriĭ Leonidovich 3 Sarra, Scott A. 3 Sgallari, Fiorella 3 Tan, Lu 3 Theljani, Anis 3 Tomarelli, Franco 3 Wang, Xiaoqiang 3 Welk, Martin 3 Wu, Chunlin 3 Wu, Tingting 3 Xu, Yuesheng 3 Xu, Yuhong 3 Xu, Zongben 3 Yashtini, Maryam 3 Yip, Andy M. 3 Zhang, Jun 3 Zhang, Kewei 3 Zhang, Xiaoqun 3 Zhao, Xile 2 Amat, Sergio P. ...and 895 more Authors
all top 5

### Cited in 175 Serials

 64 Journal of Mathematical Imaging and Vision 37 SIAM Journal on Imaging Sciences 33 Journal of Scientific Computing 23 Inverse Problems and Imaging 16 Applied and Computational Harmonic Analysis 15 International Journal of Computer Vision 13 Computers & Mathematics with Applications 13 Journal of Computational and Applied Mathematics 11 Numerical Algorithms 11 International Journal of Computer Mathematics 11 Mathematical Problems in Engineering 8 Pattern Recognition 8 Journal of Mathematical Sciences (New York) 7 Applied Mathematics and Computation 7 Advances in Computational Mathematics 6 Inverse Problems 6 Journal of Mathematical Analysis and Applications 6 Applied Numerical Mathematics 6 Applied Mathematical Modelling 5 Numerische Mathematik 4 Journal of Computational Physics 4 Signal Processing 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Abstract and Applied Analysis 4 Nonlinear Analysis. Real World Applications 4 International Journal of Wavelets, Multiresolution and Information Processing 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 BIT 3 European Journal of Combinatorics 3 Numerical Methods for Partial Differential Equations 3 Multidimensional Systems and Signal Processing 3 Linear Algebra and its Applications 3 SIAM Journal on Mathematical Analysis 3 Journal of Inequalities and Applications 3 Optimization and Engineering 3 The ANZIAM Journal 3 Foundations of Computational Mathematics 3 Analysis and Applications (Singapore) 3 Computational & Mathematical Methods in Medicine 3 EURASIP Journal on Advances in Signal Processing 3 East Asian Journal on Applied Mathematics 2 Applicable Analysis 2 Mathematical Methods in the Applied Sciences 2 Automatica 2 Journal of Approximation Theory 2 Numerical Functional Analysis and Optimization 2 Statistics & Probability Letters 2 Computer Aided Geometric Design 2 Physica D 2 Applied Mathematics Letters 2 Bulletin of the American Mathematical Society. New Series 2 Computational Statistics and Data Analysis 2 Cybernetics and Systems Analysis 2 SIAM Journal on Scientific Computing 2 Applied Mathematics. Series B (English Edition) 2 Computational and Applied Mathematics 2 Journal of Convex Analysis 2 Bernoulli 2 Discrete and Continuous Dynamical Systems 2 Vietnam Journal of Mathematics 2 Informatica (Vilnius) 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of Applied Mathematics and Computing 2 Milan Journal of Mathematics 2 Acta Numerica 2 Inverse Problems in Science and Engineering 2 Communications in Computational Physics 2 Journal of Function Spaces 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 International Journal for Numerical Methods in Fluids 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Physica A 1 Psychometrika 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Calcolo 1 Computing 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the American Statistical Association 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of Number Theory 1 Meccanica 1 Monatshefte für Mathematik 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Computing 1 Transactions of the American Mathematical Society 1 Operations Research Letters ...and 75 more Serials
all top 5

### Cited in 50 Fields

 314 Information and communication theory, circuits (94-XX) 238 Numerical analysis (65-XX) 213 Computer science (68-XX) 103 Calculus of variations and optimal control; optimization (49-XX) 72 Partial differential equations (35-XX) 44 Operations research, mathematical programming (90-XX) 43 Statistics (62-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 29 Biology and other natural sciences (92-XX) 25 Probability theory and stochastic processes (60-XX) 20 Combinatorics (05-XX) 16 Real functions (26-XX) 15 Operator theory (47-XX) 12 Differential geometry (53-XX) 11 Mechanics of deformable solids (74-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Approximations and expansions (41-XX) 10 Functional analysis (46-XX) 9 Systems theory; control (93-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Convex and discrete geometry (52-XX) 6 Ordinary differential equations (34-XX) 6 Fluid mechanics (76-XX) 5 Number theory (11-XX) 5 Commutative algebra (13-XX) 4 Functions of a complex variable (30-XX) 4 Integral transforms, operational calculus (44-XX) 4 Integral equations (45-XX) 4 Quantum theory (81-XX) 3 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)