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.
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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 BibRef

Scharr, H.[Hanno],
Diffusion-Like Reconstruction Schemes from Linear Data Models,
DAGM06(51-60).
Springer DOI Reference 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 Reference 0810 BibRef

Scharr, H., Black, M.J., Haussecker, H.W.,
Image statistics and anisotropic diffusion,
ICCV03(840-847).
IEEE DOI Reference 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 Reference 9810Incorporate 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 Reference 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

Cańero, 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 Reference 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 Reference 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 Reference 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 Reference 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. 0711Anisotropic 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. 0806Image denoising; Anisotropic diffusion; Partial differential equation; Gradient fidelity term 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.[Qiuqi], Wang, W.Q.[Wen-Qia], Chen, J.N.[Jing-Nian],
Region-Based Shock-Diffusion Equation for Adaptive Image Enhancement,
IWICPAS06(387-395).
Springer DOI Reference 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 Reference 9710 BibRef

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