4.5.2 Diffusion Process for Enhancement, Restoration and Smoothing

Chapter Contents (Back)
Diffusion Process. Enhancement. 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

Biswas, S., Pal, N.R., Pal, S.K.,
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And: Correction:
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Weickert, J.[Joachim],
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IVC(17), No. 3/4, March 1999, pp. 201-212.
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Earlier: NSPRIA97(239-244).
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Weickert, J.[Joachim],
Coherence-Enhancing Diffusion Filtering,
IJCV(31), No. 2/3, April 1999, pp. 111-127.
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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.
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Scharr, H.[Hanno],
Diffusion-Like Reconstruction Schemes from Linear Data Models,
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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).
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Scharr, H., Black, M.J., Haussecker, H.W.,
Image statistics and anisotropic diffusion,
ICCV03(840-847).
IEEE DOI 0311
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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 DOI BibRef 9909
Earlier:
A new adaptive nonlinear anisotropic diffusion for noise smoothing,
ICIP98(III: 254-258).
IEEE DOI 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 DOI 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
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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.
DOI Link 0203
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Mrázek, P.[Pavel],
Monotonicity Enhancing Nonlinear Diffusion,
JVCIR(13), No. 1/2, March/June 2002, pp. 313-323.
DOI Link 0204
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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 DOI 0206
BibRef
Earlier:
Bilateral Filtering and Anisotropic Diffusion: Towards a Unified Viewpoint,
ScaleSpace01(xx-yy). 0106
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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 Link. 0401
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Earlier:
A Common Viewpoint on Broad Kernel Filtering and Nonlinear Diffusion,
ScaleSpace03(683-698).
Springer DOI 0310
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Barash, D., Israeli, M., Kimmel, R.,
An accurate operator splitting scheme for nonlinear diffusion filtering,
ScaleSpace01(xx-yy). 0106
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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
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Cańero, C., Radeva, P.I.,
Vesselness enhancement diffusion,
PRL(24), No. 16, December 2003, pp. 3141-3151.
WWW Link. 0310
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Clarenz, U., Diewald, U., Rumpf, M.,
Processing textured surfaces via anisotropic geometric diffusion,
IP(13), No. 2, February 2004, pp. 248-261.
IEEE DOI 0404
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Lee, S.H., Seo, J.K.,
Noise Removal With Gauss Curvature-Driven Diffusion,
IP(14), No. 7, July 2005, pp. 904-909.
IEEE DOI 0506
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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 Link. 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).
Springer DOI 0310
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Welk, M.[Martin], Weickert, J.[Joachim],
An Efficient and Stable Two-Pixel Scheme for 2D Forward-and-Backward Diffusion,
SSVM17(94-106).
Springer DOI 1706
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Weickert, J.[Joachim], Welk, M.[Martin], Wickert, M.[Marco],
L_2-Stable Nonstandard Finite Differences for Anisotropic Diffusion,
SSVM13(380-391).
Springer DOI 1305
See also Theoretical foundations for spatially discrete 1-D shock filtering. BibRef

Welk, M.[Martin], Gilboa, G.[Guy], Weickert, J.[Joachim],
Theoretical Foundations for Discrete Forward-and-Backward Diffusion Filtering,
SSVM09(527-538).
Springer DOI 0906
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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 0608
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Earlier:
Relations Between Higher Order TV Regularization and Support Vector Regression,
ScaleSpace05(515-527).
Springer DOI 0505
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Welk, M.[Martin], Weickert, J.[Joachim], Steidl, G.[Gabriele],
A Four-Pixel Scheme for Singular Differential Equations,
ScaleSpace05(610-621).
Springer DOI 0505
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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 0707
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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 Link. 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 Link. 0806
Image denoising; Anisotropic diffusion; Partial differential equation; Gradient fidelity term See also Comments on 'Staircase effect alleviation by coupling 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 0804
TV flow; Anisotropic diffusion; Feature enhancement; Numerical stability See also Image segmentation based on the integration of colour-texture descriptors: A review. BibRef

Ghita, O.[Ovidiu], Whelan, P.F.[Paul F.],
A new GVF-based image enhancement formulation for use in the presence of mixed noise,
PR(43), No. 8, August 2010, pp. 2646-2658.
Elsevier DOI 1006
Anisotropic diffusion; Shock filters; GVF; Texture enhancement BibRef

Xiao, L.[Liang], Huang, L.[Lili], Wei, Z.H.[Zhi-Hui],
Comments on 'Staircase effect alleviation by coupling gradient fidelity term',
IVC(28), No. 11, November 2010, pp. 1569-1574.
Elsevier DOI 1008
Image denosing; Partial differential equation; Gradient fidelity term; Total variation See also Staircase effect alleviation by coupling gradient fidelity term. BibRef

Schmaltz, C.[Christian], Peter, P.[Pascal], Mainberger, M.[Markus], Ebel, F.[Franziska], Weickert, J.[Joachim], Bruhn, A.[Andrés],
Understanding, Optimising, and Extending Data Compression with Anisotropic Diffusion,
IJCV(108), No. 3, July 2014, pp. 222-240.
Springer DOI 1407
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Peter, P.[Pascal],
Three-Dimensional Data Compression with Anisotropic Diffusion,
GCPR13(231-236).
Springer DOI 1311
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Cho, S.I.[Sung In], Kang, S.J.[Suk-Ju], Kim, H.S.[Hi-Seok], Kim, Y.H.[Young Hwan],
Dictionary-based anisotropic diffusion for noise reduction,
PRL(46), No. 1, 2014, pp. 36-45.
Elsevier DOI 1407
Image denoising BibRef

Kim, S.[Sanghun], Kang, S.J.[Suk-Ju], Kim, Y.H.[Young Hwan],
Anisotropic diffusion noise filtering using region adaptive smoothing strength,
JVCIR(40, Part A), No. 1, 2016, pp. 384-391.
Elsevier DOI 1609
Image denoising BibRef


Shabani, A.H.[Amir H.], Zelek, J.S.[John S.], Clausi, D.A.[David A.],
Regularized Gradient Kernel Anisotropic Diffusion for Better Image Filtering,
CRV12(383-387).
IEEE DOI 1207
BibRef

Seo, D.H.[Do-Hyung], Vemuri, B.C.[Baba C.],
Complex Diffusion on Scalar and Vector Valued Image Graphs,
EMMCVPR09(98-111).
Springer DOI 0908
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 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).
IEEE DOI 0609
BibRef

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

Dam, E.B.[Erik B.], Olsen, O.F.[Ole Fogh], Nielsen, M.[Mads],
Approximating Non-linear Diffusion,
ScaleSpace03(117-131).
Springer DOI 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 DOI 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 DOI 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 DOI BibRef 9900

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

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


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