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Author ID: shen.jianhong Recent zbMATH articles by "Shen, Jianhong"
Published as: Shen, Jianhong; Shen, Jianhong (Jackie); Shen, J.
Documents Indexed: 49 Publications since 1995, including 2 Books
Co-Authors: 15 Co-Authors with 26 Joint Publications
838 Co-Co-Authors

Publications by Year

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)
213
2005
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
142
2002
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
105
2002
Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505
Esedoglu, Selim; Shen, Jianhong
58
2002
The digital TV filter and nonlinear denoising. Zbl 1039.68778
Chan, Tony F.; Osher, Stanley; Shen, Jianhong
41
2001
Variational PDE models in image processing. Zbl 1168.94315
Chan, Tony F.; Shen, Jianhong; Vese, Luminita
31
2003
Variational image inpainting. Zbl 1067.68168
Chan, Tony F.; Shen, Jianhong
26
2005
On the combinatorics of cumulants. Zbl 0978.05006
Rota, Gian-Carlo; Shen, Jianhong
17
2000
Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001
Chan, Tony; Shen, Jianhong
16
2000
All polynomials of binomial type are represented by Abel polynomials. Zbl 1003.05011
Rota, Gian-Carlo; Shen, Jianhong; Taylor, Brian D.
14
1997
Instability of an annular viscous liquid jet. Zbl 0945.76024
Shen, J.; Li, Xianguo
14
1996
Multiphase image segmentation via Modica-Mortola phase transition. Zbl 1147.68802
Jung, Yoon Mo; Kang, Sung Ha; Shen, Jianhong
14
2007
On the foundations of vision modeling. I: Weber’s law and Weberized TV restoration. Zbl 1006.91057
Shen, Jianhong
8
2003
Combinatorics for wavelets: The umbral refinement equation. Zbl 1006.42031
Shen, Jianhong
7
1999
Asymptotic analysis of Daubechies polynomials. Zbl 0876.42024
Shen, Jianhong; Strang, Gilbert
7
1996
The potential theory of several intervals and its applications. Zbl 0983.41006
Shen, J.; Strang, G.; Wathen, A. J.
6
2001
A geometric approach to ergodic non-homogeneous Markov chains. Zbl 0968.60065
Shen, Jianhong
5
2000
Digitized PDE method for data restoration. Zbl 0969.68173
Osher, Stanley; Shen, Jianhong
5
2000
On the singular values of Gaussian random matrices. Zbl 0985.15019
Shen, Jianhong
5
2001
On the role of the BV image model in image restoration. Zbl 1035.94501
Chan, Tony F.; Shen, Jianhong
5
2003
Total variation wavelet inpainting. Zbl 1478.94019
Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min
5
2006
Asymptotics of Daubechies filters, scaling functions, and wavelets. Zbl 0929.42022
Shen, Jianhong; Strang, Gilbert
4
1998
Inpainting based on nonlinear transport and diffusion. Zbl 1027.68139
Chan, Tony F.; Shen, Jianhong
3
2002
Bayesian video dejittering by the BV image model. Zbl 1055.94505
Shen, Jianhong
3
2004
Refinement differential equations and wavelets. Zbl 0929.34052
Shen, Jianhong
3
1998
On the generalized “Lanczos’ generalized derivative”. Zbl 1031.26008
Shen, Jianhong
3
1999
On wavelet fundamental solutions to the heat equation – heatlets. Zbl 0953.35051
Shen, Jianhong; Strang, Gilbert
3
2000
Compactification of a set of matrices with convergent infinite products. Zbl 0958.15021
Shen, Jianhong
3
2000
Weberized Mumford-Shah model with Bose-Einstein photon noise. Zbl 1094.94007
Shen, Jianhong; Jung, Yoon-Mo
3
2006
A note on wavelets and diffusions. Zbl 1043.42035
Shen, Jianhong
2
2003
Instability of cylindrical compressible gas jets in viscous liquid streams. Zbl 0912.76018
Shen, J.; Li, X.
2
1998
Computational electromagnetics using boundary elements: advances in modelling eddy currents. Zbl 0997.78501
Shen, J.
2
1995
Piecewise \(H^{-1}+H^0+H^1\) images and the Mumford-Shah-Sobolev model for segmented image decomposition. Zbl 1092.49028
Shen, Jianhong
2
2005
The asymptotics of optimal (equiripple) filters. Zbl 0978.94026
Shen, Jianhong; Strang, Gilbert
1
1999
Geometric and stochastic analysis of reaction-diffusion patterns. Zbl 1101.68891
Shen, Jianhong; Jung, Yoon Mo
1
2005
Quantum TV and applications in image processing. Zbl 1211.94011
Shen, Jianhong; Kang, Sung Ha
1
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
1
2020
Least-squares halftoning via human vision system and Markov gradient descent (LS-MGD): algorithm and analysis. Zbl 1172.94327
Shen, Jianhong
1
2009
On the foundations of vision modeling. III: Noncommutative monoids of occlusive preimages. Zbl 1478.94083
Shen, Jianhong
1
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
1
2020
Least-squares halftoning via human vision system and Markov gradient descent (LS-MGD): algorithm and analysis. Zbl 1172.94327
Shen, Jianhong
1
2009
Multiphase image segmentation via Modica-Mortola phase transition. Zbl 1147.68802
Jung, Yoon Mo; Kang, Sung Ha; Shen, Jianhong
14
2007
Quantum TV and applications in image processing. Zbl 1211.94011
Shen, Jianhong; Kang, Sung Ha
1
2007
Total variation wavelet inpainting. Zbl 1478.94019
Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min
5
2006
Weberized Mumford-Shah model with Bose-Einstein photon noise. Zbl 1094.94007
Shen, Jianhong; Jung, Yoon-Mo
3
2006
On the foundations of vision modeling. III: Noncommutative monoids of occlusive preimages. Zbl 1478.94083
Shen, Jianhong
1
2006
Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127
Chan, Tony F.; Shen, Jianhong (Jackie)
213
2005
Variational image inpainting. Zbl 1067.68168
Chan, Tony F.; Shen, Jianhong
26
2005
Piecewise \(H^{-1}+H^0+H^1\) images and the Mumford-Shah-Sobolev model for segmented image decomposition. Zbl 1092.49028
Shen, Jianhong
2
2005
Geometric and stochastic analysis of reaction-diffusion patterns. Zbl 1101.68891
Shen, Jianhong; Jung, Yoon Mo
1
2005
Bayesian video dejittering by the BV image model. Zbl 1055.94505
Shen, Jianhong
3
2004
Variational PDE models in image processing. Zbl 1168.94315
Chan, Tony F.; Shen, Jianhong; Vese, Luminita
31
2003
On the foundations of vision modeling. I: Weber’s law and Weberized TV restoration. Zbl 1006.91057
Shen, Jianhong
8
2003
On the role of the BV image model in image restoration. Zbl 1035.94501
Chan, Tony F.; Shen, Jianhong
5
2003
A note on wavelets and diffusions. Zbl 1043.42035
Shen, Jianhong
2
2003
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
142
2002
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
105
2002
Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505
Esedoglu, Selim; Shen, Jianhong
58
2002
Inpainting based on nonlinear transport and diffusion. Zbl 1027.68139
Chan, Tony F.; Shen, Jianhong
3
2002
The digital TV filter and nonlinear denoising. Zbl 1039.68778
Chan, Tony F.; Osher, Stanley; Shen, Jianhong
41
2001
The potential theory of several intervals and its applications. Zbl 0983.41006
Shen, J.; Strang, G.; Wathen, A. J.
6
2001
On the singular values of Gaussian random matrices. Zbl 0985.15019
Shen, Jianhong
5
2001
On the combinatorics of cumulants. Zbl 0978.05006
Rota, Gian-Carlo; Shen, Jianhong
17
2000
Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001
Chan, Tony; Shen, Jianhong
16
2000
A geometric approach to ergodic non-homogeneous Markov chains. Zbl 0968.60065
Shen, Jianhong
5
2000
Digitized PDE method for data restoration. Zbl 0969.68173
Osher, Stanley; Shen, Jianhong
5
2000
On wavelet fundamental solutions to the heat equation – heatlets. Zbl 0953.35051
Shen, Jianhong; Strang, Gilbert
3
2000
Compactification of a set of matrices with convergent infinite products. Zbl 0958.15021
Shen, Jianhong
3
2000
Combinatorics for wavelets: The umbral refinement equation. Zbl 1006.42031
Shen, Jianhong
7
1999
On the generalized “Lanczos’ generalized derivative”. Zbl 1031.26008
Shen, Jianhong
3
1999
The asymptotics of optimal (equiripple) filters. Zbl 0978.94026
Shen, Jianhong; Strang, Gilbert
1
1999
Asymptotics of Daubechies filters, scaling functions, and wavelets. Zbl 0929.42022
Shen, Jianhong; Strang, Gilbert
4
1998
Refinement differential equations and wavelets. Zbl 0929.34052
Shen, Jianhong
3
1998
Instability of cylindrical compressible gas jets in viscous liquid streams. Zbl 0912.76018
Shen, J.; Li, X.
2
1998
All polynomials of binomial type are represented by Abel polynomials. Zbl 1003.05011
Rota, Gian-Carlo; Shen, Jianhong; Taylor, Brian D.
14
1997
Instability of an annular viscous liquid jet. Zbl 0945.76024
Shen, J.; Li, Xianguo
14
1996
Asymptotic analysis of Daubechies polynomials. Zbl 0876.42024
Shen, Jianhong; Strang, Gilbert
7
1996
Computational electromagnetics using boundary elements: advances in modelling eddy currents. Zbl 0997.78501
Shen, J.
2
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)

Citations by Year