4.5.2 Diffusion Process for Enhancement, Restoration and Smoothing

Price, C.B., Wambacq, P., Oosterlinck, A.,
Image Enhancement and Analysis with Reaction-Diffusion Paradigm,
IEE-P(I: 137), No. 3, 1990, pp. 136-145. BibRef 9000

Alvarez, L., Mazorra, L.,
Signal and Image Restoration Using Shock Filters and Anisotropic Diffusion,
NumAnal(31), No. 2, 1994, pp. 590-605. BibRef 9400

Biswas, S., Pal, N.R., Pal, S.K.,
Smoothing of Digital Images Using the Concept of Diffusion Process,
PR(29), No. 3, March 1996, pp. 497-510. BibRef 9603
And: Correction:
WWW Version. PR(29), No. 7, July 1996, pp. R1-R1. BibRef

Weickert, J.[Joachim],
Coherence-Enhancing Diffusion of Colour Images,
IVC(17), No. 3/4, March 1999, pp. 201-212.
WWW Version. BibRef 9903
Earlier: NSPRIA97(239-244).
Postscript Version. BibRef

Weickert, J.[Joachim],
Coherence-Enhancing Diffusion Filtering,
IJCV(31), No. 2/3, April 1999, pp. 111-127.
WWW Version. BibRef 9904

Weickert, J.[Joachim], Scharr, H.[Hanno],
A Scheme for Coherence-Enhancing Diffusion Filtering with Optimized Rotation Invariance,
JVCIR(13), No. 1/2, March/June 2002, pp. 103-118.
WWW Version. 0204
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Scharr, H.[Hanno],
Diffusion-Like Reconstruction Schemes from Linear Data Models,
DAGM06(51-60).
Springer DOI Link 0610
BibRef

Krajsek, K.[Kai], Menzel, M.I.[Marion I.], Zwanger, M.[Michael], Scharr, H.[Hanno],
Riemannian Anisotropic Diffusion for Tensor Valued Images,
ECCV08(IV: 326-339).
Springer DOI Link 0810
BibRef

Scharr, H., Black, M.J., Haussecker, H.W.,
Image statistics and anisotropic diffusion,
ICCV03(840-847).
IEEE DOI Link 0311
BibRef

Monteil, J.[Jerome], Beghdadi, A.[Azeddine],
A New Interpretation and Improvement for the Nonlinear Anisotropic Diffusion for Image Enhancement,
PAMI(21), No. 9, September 1999, pp. 940-946.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9909
Earlier:
A new adaptive nonlinear anisotropic diffusion for noise smoothing,
ICIP98(III: 254-258).
IEEE DOI Link 9810
Incorporate diffusion and optical flow techniques. BibRef

Fischl, B.[Bruce], Schwartz, E.L.[Eric L.],
Adaptive Nonlocal Filtering: A Fast Alternative to Anisotropic Diffusion for Image Enhancement,
PAMI(21), No. 1, January 1999, pp. 42-48.
IEEE Abstract. IEEE Top Reference.
WWW Version. Compares Gaussian, Median, Offset Gaussian, Offset Median, Nitzberg-Shiota ( See also Nonlinear Image Filtering with Edge and Corner Enhancement. ). BibRef 9901

Fischl, B.[Bruce], Schwartz, E.L.,
Fast Adaptive Alternatives to Nonlinear Diffusion in Image Enhancement: Greens Function Approximators and Nonlocal Filters,
ScaleSpace97(xx). 9702
BibRef

Solé, A.F.[Andres F.], López, A.M.[Antonio M.], Sapiro, G.[Guillermo],
Crease Enhancement Diffusion,
CVIU(84), No. 2, November 2001, pp. 241-248.
WWW Version. 0203
BibRef

Mrázek, P.[Pavel],
Monotonicity Enhancing Nonlinear Diffusion,
JVCIR(13), No. 1/2, March/June 2002, pp. 313-323.
WWW Version. 0204
BibRef

Barash, D.[Danny],
A Fundamental Relationship between Bilateral Filtering, Adaptive Smoothing, and the Nonlinear Diffusion Equation,
PAMI(24), No. 6, June 2002, pp. 844-847.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0206
BibRef
Earlier:
Bilateral Filtering and Anisotropic Diffusion: Towards a Unified Viewpoint,
ScaleSpace01(xx-yy). 0106
BibRef

Barash, D.[Danny], Comaniciu, D.[Dorin],
A common framework for nonlinear diffusion, adaptive smoothing, bilateral filtering and mean shift,
IVC(22), No. 1, January 2004, pp. 73-81.
WWW Version. 0401
BibRef
Earlier:
A Common Viewpoint on Broad Kernel Filtering and Nonlinear Diffusion,
ScaleSpace03(683-698).
HTML Version. 0310
BibRef

Barash, D., Israeli, M., Kimmel, R.,
An accurate operator splitting scheme for nonlinear diffusion filtering,
ScaleSpace01(xx-yy). 0106
BibRef

Gilboa, G.[Guy], Sochen, N.A.[Nir A.], Zeevi, Y.Y.[Yehoshua Y.],
Forward-and-backward diffusion processes for adaptive image enhancement and denoising,
IP(11), No. 7, July 2002, pp. 689-703.
IEEE DOI Link 0207
BibRef

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. IEEE Top Reference. 0407
BibRef
Earlier:
Complex diffusion processes for image filtering,
ScaleSpace01(xx-yy). 0106
BibRef
Earlier:
Regularized Shock Filters and Complex Diffusion,
ECCV02(I: 399 ff.).
HTML Version. 0205
BibRef

Gilboa, G., Zeevi, Y.Y., Sochen, N.A.,
Image Enhancement Segmentation and Denoising by Time Dependent Nonlinear Diffusion Processes,
ICIP01(III: 134-137).
IEEE Abstract. IEEE Top Reference. 0108
BibRef

Keeling, S.L., and Stollberger, R.,
Nonlinear anisotropic diffusion filters for wide range edge sharpening,
Inverse Problems(18), 2002, pp. 175-190. BibRef 0200

Ceccarelli, M., de Simone, V., Murli, A.,
Well-posed anisotropic diffusion for image denoising,
VISP(149), No. 4, August 2002, pp. 244-252.
IEEE Top Reference. 0211
BibRef

Cañero, C., Radeva, P.I.,
Vesselness enhancement diffusion,
PRL(24), No. 16, December 2003, pp. 3141-3151.
WWW Version. 0310
BibRef

Clarenz, U., Diewald, U., Rumpf, M.,
Processing textured surfaces via anisotropic geometric diffusion,
IP(13), No. 2, February 2004, pp. 248-261.
IEEE DOI Link 0404
BibRef

Lee, S.H., Seo, J.K.,
Noise Removal With Gauss Curvature-Driven Diffusion,
IP(14), No. 7, July 2005, pp. 904-909.
IEEE DOI Link 0506
BibRef

Brox, T.[Thomas], Weickert, J.[Joachim], Burgeth, B.[Bernhard], Mrázek, P.[Pavel],
Nonlinear structure tensors,
IVC(24), No. 1, 1 January 2006, pp. 41-55.
WWW Version. 0602
See also Optimal orientation detection of linear symmetry. See also fast operator for detection and precise location of distinct points, corners and centres of circular features, A. BibRef

Brox, T.[Thomas], Welk, M.[Martin], Steidl, G.[Gabriele], Weickert, J.[Joachim],
Equivalence Results for TV Diffusion and TV Regularisation,
ScaleSpace03(86-100).
HTML Version. 0310
BibRef

Steidl, G.[Gabriele], Didas, S.[Stephan], Neumann, J.[Julia],
Splines in Higher Order TV Regularization,
IJCV(70), No. 3, December 2006, pp. 241-255.
Springer DOI Link 0608
BibRef
Earlier:
Relations Between Higher Order TV Regularization and Support Vector Regression,
ScaleSpace05(515-527).
WWW Version. 0505
BibRef

Welk, M.[Martin], Weickert, J.[Joachim], Steidl, G.[Gabriele],
A Four-Pixel Scheme for Singular Differential Equations,
ScaleSpace05(610-621).
WWW Version. 0505
BibRef

Wang, Y., Zhang, L., Li, P.,
Local Variance-Controlled Forward-and-Backward Diffusion for Image Enhancement and Noise Reduction,
IP(16), No. 7, July 2007, pp. 1854-1864.
IEEE DOI Link 0707
BibRef

Yu, J.H.[Jin-Hua], Wang, Y.Y.[Yuan-Yuan], Shen, Y.Z.[Yu-Zhong],
Noise reduction and edge detection via kernel anisotropic diffusion,
PRL(29), No. 10, 15 July 2008, pp. 1496-1503.
WWW Version. 0711
Anisotropic diffusion; Kernel methods; Noise reduction; Edge detection BibRef

Zhu, L.X.[Li-Xin], Xia, D.S.[De-Shen],
Staircase effect alleviation by coupling gradient fidelity term,
IVC(26), No. 8, 1 August 2008, pp. 1163-1170.
WWW Version. 0806
Image denoising; Anisotropic diffusion; Partial differential equation; Gradient fidelity term BibRef

Ghita, O.[Ovidiu], Ilea, D.E.[Dana E.], Whelan, P.F.[Paul F.],
Image feature enhancement based on the time-controlled total variation flow formulation,
PRL(30), No. 3, 1 February 2009, pp. 314-320.
Elsevier DOI Link
WWW Version. 0804
TV flow; Anisotropic diffusion; Feature enhancement; Numerical stability BibRef

Zhang, Y.[Yue], Xu, X.Y.[Xiao-Yin], Cai, H.M.[Hong-Min], Yung, S.P., Wong, S.T.C.[Stephen T.C.],
A New Nonlinear Diffusion Method to Improve Image Quality,
ICIP07(I: 329-332).
IEEE DOI Link 0709
BibRef

Chen, S.S.[Shou-Shui], Yang, X.[Xin],
A new adaptive diffusion equation for image noise removal and feature preservation,
ICPR06(III: 885-888).
WWW Version. 0609
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 Link 0608
BibRef

Battiato, S., Gallo, G., Stanco, F.,
Smart interpolation by anisotropic diffusion,
CIAP03(572-577).
IEEE Abstract. IEEE Top Reference. 0310
BibRef

Dam, E.B.[Erik B.], Olsen, O.F.[Ole Fogh], Nielsen, M.[Mads],
Approximating Non-linear Diffusion,
ScaleSpace03(117-131).
HTML Version. 0310
BibRef

Tsuji, H., Sakatani, T., Yashima, Y., Kobayashi, N.,
A nonlinear spatio-temporal diffusion and its application to prefiltering in MPEG-4 video coding,
ICIP02(I: 85-88).
IEEE Abstract. IEEE Top Reference. 0210
BibRef

Wong, E.Q.[Earl Q.], Algazi, V.R.,
Image enhancement using linear diffusion and an improved gradient map estimate,
ICIP99(III:154-158).
IEEE Abstract. IEEE Top Reference. BibRef 9900

Wong, E.Q.[Earl Q.], Algazi, V.R.,
Improved directional algorithm of the non-linear anisotropic diffusion equation for images,
ICIP99(II:396-400).
IEEE Abstract. IEEE Top Reference. BibRef 9900

Yang, S.[Seungjoon], Hu, Y.H.[Yu-Hen],
Coding Artifacts Removal Using Biased Anisotropic Diffusion,
ICIP97(II: 346-349).
IEEE DOI Link 9710
BibRef

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