4.3.2.4 Shock Filters

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Shock Filters.

Engquist, B., Lotstedt, P., Sjogreen, B.,
Nonlinear Filters for Efficient Shock Computation,
MathComp(52), No. 186, 1989, pp. 509-537. BibRef 8900

Osher, S.J., Rudin, L.I.,
Feature-Oriented Image Enhancement Using Shock Filters,
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DOI Link Restoration. BibRef 9008

Rudin, L.I., Osher, S.J., and Fatemi, E.,
Nonlinear total variation based noise removal algorithms,
PhysicaD(60), No. 1-4, 1992, pp. 259-268.
Elsevier DOI
See also Rudin-Osher-Fatemi Total Variation Denoising using Split Bregman. BibRef 9200

Rudin, L.I., Osher, S.J.,
Total variation based image restoration with free local constraints,
ICIP94(I: 31-35).
IEEE DOI 9411
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Alvarez, L., Mazorra, L.,
Signal and Image Restoration Using Shock Filters and Anisotropic Diffusion,
NumAnal(31), No. 2, 1994, pp. 590-605. BibRef 9400

Gilboa, G.[Guy], Sochen, N.A.[Nir A.], Zeevi, Y.Y.[Yehoshua Y.],
Forward-and-backward diffusion processes for adaptive image enhancement and denoising,
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IEEE DOI 0207
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Gilboa, G.[Guy], Sochen, N.A.[Nir A.], Zeevi, Y.Y.[Yehoshua Y.],
Image Enhancement and Denoising by Complex Diffusion Processes,
PAMI(26), No. 8, August 2004, pp. 1020-1036.
IEEE Abstract. 0407
BibRef
Earlier:
Complex diffusion processes for image filtering,
ScaleSpace01(xx-yy). 0106
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Earlier:
Regularized Shock Filters and Complex Diffusion,
ECCV02(I: 399 ff.).
Springer DOI 0205
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Gilboa, G., Zeevi, Y.Y., Sochen, N.A.,
Image Enhancement Segmentation and Denoising by Time Dependent Nonlinear Diffusion Processes,
ICIP01(III: 134-137).
IEEE DOI 0108
BibRef

Remaki, L., Cheriet, M.,
Numerical Schemes of Shock Filter Models for Image Enhancement and Restoration,
JMIV(18), No. 2, March 2003, pp. 129-143.
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Guichard, F.[Frédéric], Morel, J.M.[Jean-Michel],
A Note on Two Classical Enhancement Filters and Their Associated PDE's,
IJCV(52), No. 2-3, May-June 2003, pp. 153-160.
DOI Link 0301
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Guichard, F., Morel, J.M.,
A note on two classical shock filters and their asymptotics,
ScaleSpace01(xx-yy). 0106
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Breuß, M.[Michael], Weickert, J.[Joachim],
A Shock-Capturing Algorithm for the Differential Equations of Dilation and Erosion,
JMIV(25), No. 2, September 2006, pp. 187-201.
Springer DOI 0610
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Breuß, M.[Michael], Weickert, J.[Joachim],
Highly Accurate Schemes for PDE-Based Morphology with General Convex Structuring Elements,
IJCV(92), No. 2, April 2011, pp. 132-145.
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Earlier:
Highly Accurate PDE-Based Morphology for General Structuring Elements,
SSVM09(758-769).
Springer DOI 0906
BibRef

Welk, M.[Martin], Weickert, J.[Joachim], Galic, I.[Irena],
Theoretical foundations for spatially discrete 1-D shock filtering,
IVC(25), No. 4, April 2007, pp. 455-463.
Elsevier DOI 0702
Shock filters, Analytical solution, Well-posedness, Dynamical systems; Mode filters BibRef

Weickert, J.[Joachim],
Coherence-Enhancing Shock Filters,
DAGM03(1-8).
Springer DOI 0310
BibRef

Welk, M.[Martin],
Families of Generalised Morphological Scale Spaces,
ScaleSpace03(770-784).
Springer DOI 0310
BibRef

Bettahar, S.[Salim], Stambouli, A.B.[Amine Boudghene],
Shock filter coupled to curvature diffusion for image denoising and sharpening,
IVC(26), No. 11, 1 November 2008, pp. 1481-1489.
Elsevier DOI 0804
Noise, Blur, Diffusion, Shock filter Eliminate noise, but preserve important structure. BibRef

Doré, V.[Vincent], Moghaddam, R.F.[Reza Farrahi], Cheriet, M.[Mohamed],
Non-local adaptive structure tensors: Application to anisotropic diffusion and shock filtering,
IVC(29), No. 11, October 2011, pp. 730-743.
Elsevier DOI 1111
Structure tensor, PDEs, Adaptive tensor regularization, Anisotropic diffusion, Shock filter BibRef

Chang, H.B.[Hui-Bin], Tai, X.C.[Xue-Cheng], Wang, L.L.[Li-Lian], Yang, D.P.[Dan-Ping],
Convergence Rate of Overlapping Domain Decomposition Methods for the Rudin-Osher-Fatemi Model Based on a Dual Formulation,
SIIMS(8), No. 1, 2015, pp. 564-591.
DOI Link 1503

See also Nonlinear total variation based noise removal algorithms. BibRef

Chang, H.B.[Hui-Bin], Tai, X.C.[Xue-Cheng], Yang, D.P.[Dan-Ping],
Domain Decomposition Methods for Total Variation Minimization,
EMMCVPR15(335-349).
Springer DOI 1504
BibRef

Sadi, A.[Ahcene], El Moataz, A.[Abderrahim], Toutain, M.[Matthieu],
Nonlocal PDE morphology: a generalized shock operator on graph,
SIViP(10), No. 3, March 2016, pp. 439-446.
WWW Link. 1602
BibRef

Chakraborty, N.[Niladri], Subudhi, P.[Priyambada], Mukhopadhyay, S.[Susanta],
Shock filter-based morphological scheme for texture enhancement,
IET-IPR(13), No. 4, March 2019, pp. 653-662.
DOI Link 1903
BibRef


Zhou, Z.F.[Zuo-Feng], Fan, G.L.[Guo-Liang],
A directional shock diffusion approach to single image super-resolution,
ICIP13(844-848)
IEEE DOI 1402
Electric shock BibRef

Sadi, A.[Ahcene], El Chakik, A.[Abdallah], El Moataz, A.[Abderrahim],
Nonlocal PDEs Morphology on Graph: A Generalized Shock Operators on Graph,
ICISP14(409-416).
Springer DOI 1406
BibRef

Vacavant, A.[Antoine], Albouy-Kissi, A.[Adelaide], Menguy, P.Y.[Pierre-Yves], Solomon, J.[Justin],
Fast smoothed shock filtering,
ICPR12(182-185).
WWW Link. 1302
BibRef

Ludusan, C.[Cosmin], Lavialle, O.[Olivier], Terebes, R.[Romulus], Borda, M.[Monica],
Morphological Sharpening and Denoising Using a Novel Shock Filter Model,
ICISP10(19-27).
Springer DOI 1006
BibRef

Fu, S.J.[Shu-Jun], Ruan, Q.Q.[Qiu-Qi], Wang, W.Q.[Wen-Qia], Chen, J.N.[Jing-Nian],
Region-Based Shock-Diffusion Equation for Adaptive Image Enhancement,
IWICPAS06(387-395).
Springer DOI 0608
BibRef

Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in
Morphology - Techniques and Applications .


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