Found 115 Documents (Results 1–100)
Three-stage approach for 2D/3D diffeomorphic multimodality image registration with textural control. (English) Zbl 07931601
A coupled non-convex hybrid regularization and weak \(H^{-1}\) image decomposition model for denoising application. (English) Zbl 1543.94028
Filter design for image decomposition and applications to forensics. (English) Zbl 07914366
Chen, Ke (ed.) et al., Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Springer Reference. Cham: Springer. 1155-1182 (2023).
Connecting Hamilton-Jacobi partial differential equations with maximum a posteriori and posterior mean estimators for some non-convex priors. (English) Zbl 07914339
Chen, Ke (ed.) et al., Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Springer Reference. Cham: Springer. 209-233 (2023).
A Ginzburg-Landau-\({H}^{-1}\) model and its SAV algorithm for image inpainting. (English) Zbl 1522.65164
Parameter learning and fractional differential operators: applications in regularized image denoising and decomposition problems. (English) Zbl 1516.94003
Ternary image decomposition with automatic parameter selection via auto- and cross-correlation. (English) Zbl 1515.94015
Convergence of a finite volume scheme for a parabolic system applied to image processing. (English) Zbl 07863555
An improved coupled PDE system applied to the inverse image denoising problem. (English) Zbl 1512.35367
A general non-Lipschitz infimal convolution regularized model: Lower bound theory and algorithm. (English) Zbl 1519.49011
A class of nonlinear parabolic systems having standard growth and \(L^1\) data. (English) Zbl 1492.35395
A computational model for texture analysis in images with a reaction-diffusion based filter. (English) Zbl 1513.94008
Generalized intersection algorithms with fixed points for image decomposition learning. (English) Zbl 1474.94025
Multiscale hierarchical image decomposition and refinements: qualitative and quantitative results. (English) Zbl 1523.94015
A first-order image restoration model that promotes image contrast preservation. (English) Zbl 1471.94006
A nonlinear fractional reaction-diffusion system applied to image denoising and decomposition. (English) Zbl 1466.94003
Two-level method for the total fractional-order variation model in image deblurring problem. (English) Zbl 1451.94008
A nonlocal Laplacian-based model for bituminous surfacing crack recovery and its MPI implementation. (English) Zbl 1457.94012
Reviewer: Wiesław Kotarski (Sosnowiec)
Some properties of solutions of a fourth-order parabolic equation for image processing. (English) Zbl 1436.35246
A denoising model adapted for impulse and Gaussian noises using a constrained-PDE. (English) Zbl 1507.49018
Existence and uniqueness of an entropy solution for a nonlinear reaction-diffusion system applied to texture analysis. (English) Zbl 1483.35114
On a fractional reaction-diffusion system applied to image decomposition and restoration. (English) Zbl 1442.94012
A convex-nonconvex variational method for the additive decomposition of functions on surfaces. (English) Zbl 1468.94016
Compound second-order hyperbolic partial differential equation-based structural interpolation model. (English) Zbl 1423.35251
A duality based approach to the minimizing total variation flow in the space \(H^{-s}\). (English) Zbl 1410.94006
A primal-dual method for the Meyer model of cartoon and texture decomposition. (English) Zbl 1524.94035
An image denoising model based on a fourth-order nonlinear partial differential equation. (English) Zbl 1435.94047
Infimal convolution of oscillation total generalized variation for the recovery of images with structured texture. (English) Zbl 1419.94004
Image processing and ‘noise removal algorithms’ – the PDEs and their invariance properties & conservation laws. (English) Zbl 1393.94096
Optimization methods for regularization-based ill-posed problems: a survey and a multi-objective framework. (English) Zbl 1405.94024
Image regularity and fidelity measure with a two-modality potential function. (English) Zbl 1426.94028
Multi-scale anisotropic fourth-order diffusion improves ridge and valley localization. (English) Zbl 1426.68281
Semi-inner-products for convex functionals and their use in image decomposition. (English) Zbl 1425.94014
MSC:
94A08
A chromaticity-brightness model for color images denoising in a Meyer’s “\(u + v\)” framework. (English) Zbl 1379.49011
Reviewer: Guy Jumarie (Montréal)
Discrete gradient methods for solving variational image regularisation models. (English) Zbl 1371.94146
Cartoon-texture image decomposition via non-convex low-rank texture regularization. (English) Zbl 1364.94093
A sequential updating scheme of the Lagrange multiplier for separable convex programming. (English) Zbl 1348.90520
Multiscale texture orientation analysis using spectral total-variation decomposition. (English) Zbl 1453.94009
Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 486-497 (2015).
Cartoon-texture-noise decomposition with transport norms. (English) Zbl 1444.94004
Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 142-153 (2015).
Spectral representations of one-homogeneous functionals. (English) Zbl 1444.94007
Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 16-27 (2015).
Multiscale hybrid nonlocal means filtering using modified similarity measure. (English) Zbl 1395.94157
Image decomposition combining a total variational filter and a Tikhonov quadratic filter. (English) Zbl 1435.94018
Simultaneous cartoon and texture image restoration with higher-order regularization. (English) Zbl 1328.68274
Unsupervised texture segmentation using active contour model and oscillating information. (English) Zbl 1442.68254
Fractional partial differential equation denoising models for texture image. (English) Zbl 1343.94012
A fractional partial differential equation based multiscale denoising model for texture image. (English) Zbl 1301.35203
An efficient algorithm for adaptive total variation based image decomposition and restoration. (English) Zbl 1293.94017
A guide to the TV zoo. (English) Zbl 1342.94014
Burger, Martin (ed.) et al., Level set and PDE based reconstruction methods in imaging. Lecture notes given at the CIME summer school, Cetraro, Italy, September 2008. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-01711-2/pbk; 978-3-319-01712-9/ebook). Lecture Notes in Mathematics 2090. CIME Foundation Subseries, 1-70 (2013).
Fractional partial differential equation: fractional total variation and fractional steepest descent approach-based multiscale denoising model for texture image. (English) Zbl 1381.35231
A PDE approach to image restoration problem with observation on a meager domain. (English) Zbl 1239.94005
Domain decomposition methods with graph cuts algorithms for total variation minimization. (English) Zbl 1242.65123
A primal-dual gradient method for image decomposition based on \((BV, H ^{ - 1})\). (English) Zbl 1252.65111
Function spaces vs. scaling functions: tools for image classification. (English) Zbl 1218.94011
Koziel, Slawomir (ed.) et al., Computational optimization, methods and algorithms. Berlin: Springer (ISBN 978-3-642-20858-4/hbk; 978-3-642-20859-1/ebook). Studies in Computational Intelligence 356, 1-39 (2011).
A class of fractional-order multi-scale variational models and alternating projection algorithm for image denoising. (English) Zbl 1217.94024
On a reaction-diffusion system applied to image decomposition and restoration. (English) Zbl 1217.65172
A novel variational model for image segmentation. (English) Zbl 1207.94026
MSC:
94A08
Mathematical modeling of textures: application to color image decomposition with a projected gradient algorithm. (English) Zbl 1287.94013
Convergence of a fixed point iteration method for the OSV model. (English) Zbl 1177.94035
MSC:
94A08
Locally parallel textures modeling with adapted Hilbert spaces. (English) Zbl 1287.94015
Cremers, Daniel (ed.) et al., Energy minimization methods in computer vision and pattern recognition. 7th international conference, EMMCVPR 2009, Bonn, Germany, August 24–27, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-03640-8/pbk). Lecture Notes in Computer Science 5681, 429-442 (2009).
Beamlets are densely embedded in \(H^{-1}\). (English) Zbl 1171.94002
MSC:
94A08
Multiscale approximation. (English) Zbl 1272.94005
Dahlhaus, Rainer (ed.) et al., Mathematical methods in signal processing and digital image analysis. Berlin: Springer (ISBN 978-3-540-75631-6/hbk). Springer Complexity, 75-109 (2008).
Image restoration and decomposition via bounded total variation and negative Hilbert-Sobolev spaces. (English) Zbl 1191.68789
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