4.5.2 Anisotropic Diffusion Process

Eberly, D.[David],
A Differential Geometric Approach to Anisotropic Diffusion,
GDDCV94(Chapter 12). University of North Carolina Chapel Hill BibRef 9400

You, Y.L.[Yu-Li], Xu, W.Y.[Wen-Yuan], Tannenbaum, A., Kaveh, M.,
Behavioral Analysis of Anisotropic Diffusion in Image Processing,
IP(5), No. 11, November 1996, pp. 1539-1553.
IEEE DOI 9611
BibRef
Earlier: A1, A4, A2, A3:
Analysis and design of anisotropic diffusion for image processing,
ICIP94(II: 497-501).
IEEE DOI 9411
BibRef
Earlier: A1, A2, A4, A3:
On ill-posed anisotropic diffusion models,
ICIP95(II: 268-271).
IEEE DOI 9510
BibRef

You, Y.L.[Yu-Li], Kaveh, M.,
Differences in the behaviors of continuous and discrete anisotropic diffusion equations for image processing,
ICIP98(III: 249-253).
IEEE DOI 9810
BibRef
Earlier:
Formation of Step Images During Anisotropic Diffusion,
ICIP97(III: 388-391).
IEEE DOI BibRef

Torkamaniazar, F., Tait, K.E.,
Image Recovery Using the Anisotropic Diffusion Equation,
IP(5), No. 11, November 1996, pp. 1573-1578.
IEEE DOI 9611
BibRef

Sapiro, G., Ringach, D.L.,
Anisotropic Diffusion of Multivalued Images with Applications to Color Filtering,
IP(5), No. 11, November 1996, pp. 1582-1586.
IEEE DOI 9611
BibRef

Black, M.J.[Michael J.], Sapiro, G., Marimont, D.H., Heeger, D.,
Robust Anisotropic Diffusion,
IP(7), No. 3, March 1998, pp. 421-432.
IEEE DOI
HTML Version. 9803
BibRef
Earlier: ScaleSpace97(xx). 9702
BibRef

Weickert, J.[Joachim],
Theoretical Foundations of Anisotropic Diffusion in Image Processing,
Computing(xx), Supplement 11, 1996, pp. 221-236. BibRef 9600

Weickert, J.[Joachim],
Foundations and Applications of Anisotropic Diffusion Filtering,
Z. Angew. Math. Mech(76), Supplement 1, 1996, pp. 283-286. BibRef 9600

Weickert, J.[Joachim],
A review of Nonlinear Diffusion Filtering,
ScaleSpace97(3-28). 9702
BibRef

Weickert, J.[Joachim],
Anisotropic Diffusion in Image Processing,
Teubner-VerlagStuttgart, Germany, 1998.
WWW Link. Book on continuous and discrete nonlinear scale-space theory. BibRef 9800

Weickert, J.[Joachim],
Anisotropic Diffusion Filters for Image Processing Based Quality Control,
ConferenceSeventh European Conference on Mathematics in Industry. Teubner-Verlag, Stuttgart, 1994, pp. 355-362. BibRef 9400

Scherzer, O.[Otmar], Weickert, J.[Joachim],
Relations Between Regularization and Diffusion Filtering,
JMIV(12), No. 1, January 2000, pp. 43-63.
DOI Link 0505
BibRef

Weickert, J.[Joachim],
Multiscale texture enhancement,
CAIP95(230-237).
Springer DOI 9509
Gap completion, diffusion tensor, structure tensor. BibRef

Fischl, B., Schwartz, E.L.,
Learning an Integral-Equation Approximation to Nonlinear Anisotropic Diffusion in Image-Processing,
PAMI(19), No. 4, April 1997, pp. 342-352.
IEEE DOI 9705
Obtain an approximate solution to the standard PDE formulation for some time. Use a learning procedure to find the kernel. BibRef

Fischl, B., Cohen, M.A., Schwartz, E.L.,
Rapid Anisotropic Diffusion Using Space-Variant Vision,
IJCV(28), No. 3, July/August 1998, pp. 199-212.
DOI Link 9809
BibRef

Fischl, B., Schwartz, E.L.,
Learned Adaptive Nonlinear Filtering for Anisotropic Diffusion Approximation in Image Processing,
ICPR96(IV: 276-280).
IEEE DOI 9608
(Dept. Cognitive and Neural Systems, USA) BibRef

Acton, S.T.,
Multigrid Anisotropic Diffusion,
IP(7), No. 3, March 1998, pp. 280-291.
IEEE DOI 9803
BibRef

Segall, A., and Acton, S.T.,
Morphological Anisotropic Diffusion,
ICIP97(III: 348-351).
IEEE DOI BibRef 9700

Segall, A., Acton, S.T.,
Gradient independent translation via differential morphology,
ICIP98(II: 727-731).
IEEE DOI 9810
BibRef

Acton, S.T., Ley, K.,
Tracking Leukocytes from in Vivo Video Microscopy Using Morphological Anisotropic Diffusion,
ICIP01(II: 300-303).
IEEE DOI 0108
BibRef

Acton, S.T., Bovik, A.C., Crawford, M.M.,
Anisotropic diffusion pyramids for image segmentation,
ICIP94(III: 478-482).
IEEE DOI 9411
BibRef

Acton, S.T.,
Edge enhancement of infrared imagery by way of the anisotropic diffusion pyramid,
ICIP96(I: 865-868).
IEEE DOI 9610
BibRef

Acton, S.T.,
Deconvolutional Speckle Reducing Anisotropic Diffusion,
ICIP05(I: 5-8).
IEEE DOI 0512
BibRef

Jawerth, B.[Björn], Lin, P.[Peng], Sinzinger, E.[Eric],
Lattice Boltzmann Models for Anisotropic Diffusion of Images,
JMIV(11), No. 3, December 1999, pp. 231-237.
DOI Link BibRef 9912
Earlier:
Lattice Boltzmann Models for Nonlinear Diffusion Filtering,
ScaleSpace99(283-293). BibRef

Grahs, T.[Thorsten], Sonar, T.[Thomas],
Entropy-Controlled Artificial Anisotropic Diffusion for the Numerical Solution of Conservation Laws Based on Algorithms from Image Processing,
JVCIR(13), No. 1/2, March/June 2002, pp. 176-194.
DOI Link 0204
BibRef

Yu, H.[Hongchuan], Chua, C.S.[Chin-Seng],
GVF-Based Anisotropic Diffusion Models,
IP(15), No. 6, June 2006, pp. 1517-1524.
IEEE DOI 0606
BibRef
Earlier:
Image Anisotropic Diffusion Based on Gradient Vector Flow Fields,
ECCV04(Vol III: 288-301).
Springer DOI 0405
BibRef

Martin-Herrero, J.[Julio],
Anisotropic Diffusion in the Hypercube,
GeoRS(45), No. 5, May 2007, pp. 1386-1398.
IEEE DOI 0704
BibRef

Lam, S.Y.M., Shi, B.E.,
Recursive Anisotropic 2-D Gaussian Filtering Based on a Triple-Axis Decomposition,
IP(16), No. 7, July 2007, pp. 1925-1930.
IEEE DOI 0707
BibRef

Galic, I.[Irena], Weickert, J.[Joachim], Welk, M.[Martin], Bruhn, A.[Andrés], Belyaev, A.[Alexander], Seidel, H.P.[Hans-Peter],
Image Compression with Anisotropic Diffusion,
JMIV(31), No. 2-3, July 2008, pp. 255-269.
WWW Link. 0711
BibRef

Peter, P.[Pascal], Weickert, J.[Joachim],
Colour image compression with anisotropic diffusion,
ICIP14(4822-4826)
IEEE DOI 1502
Anisotropic magnetoresistance BibRef

Mainberger, M.[Markus], Bruhn, A.[Andres], Weickert, J.[Joachim], Forchhammer, S.[Soren],
Edge-based compression of cartoon-like images with homogeneous diffusion,
PR(44), No. 9, September 2011, pp. 1859-1873.
Elsevier DOI 1106
Image compression, Partial differential equations (PDEs), Laplace equation, Contour coding, Cartoon-like images, Second-generation coding, Multigrid BibRef

Hoffmann, S.[Sebastian], Mainberger, M.[Markus], Weickert, J.[Joachim], Puhl, M.[Michael],
Compression of Depth Maps with Segment-Based Homogeneous Diffusion,
SSVM13(319-330).
Springer DOI 1305
BibRef

Mainberger, M.[Markus], Weickert, J.[Joachim],
Edge-Based Image Compression with Homogeneous Diffusion,
CAIP09(476-483).
Springer DOI 0909
BibRef

Schmaltz, C.[Christian], Weickert, J.[Joachim], Bruhn, A.[Andrés],
Beating the Quality of JPEG 2000 with Anisotropic Diffusion,
DAGM09(452-461).
Springer DOI 0909
BibRef

Sun, J.[Jian], Xu, Z.B.[Zong-Ben],
Scale selection for anisotropic diffusion filter by Markov random field model,
PR(43), No. 8, August 2010, pp. 2630-2645.
Elsevier DOI 1006
Scale selection, Anisotropic diffusion filter, Scale space, Markov random field model, Tree-reweighted message passing, Image denoising; Noise estimation BibRef

Felsberg, M.[Michael],
Autocorrelation-Driven Diffusion Filtering,
IP(20), No. 7, July 2011, pp. 1797-1806.
IEEE DOI 1107
BibRef
Earlier:
On the Relation between Anisotropic Diffusion and Iterated Adaptive Filtering,
DAGM08(xx-yy).
Springer DOI 0806
BibRef

Fehrenbach, J.[Jérôme], Mirebeau, J.M.[Jean-Marie],
Sparse Non-negative Stencils for Anisotropic Diffusion,
JMIV(49), No. 1, May 2014, pp. 123-147.
WWW Link. 1404
BibRef

dos Santos, F.P.[Fernando Pereira], Ponti, M.A.[Moacir Antonelli],
Homogeneity Index as Stopping Criterion for Anisotropic Diffusion Filter,
CAIP19(II:269-280).
Springer DOI 1909
BibRef

Bustacara, C.[César], Gómez-Mora, M.[Miller], Flórez-Valencia, L.[Leonardo],
Anisotropic Diffusion for Smoothing: A Comparative Study,
ICCVG16(109-120).
Springer DOI 1611
BibRef

Kamgar-Parsi, B.[Behzad], Kamgar-Parsi, B.[Behrooz], Kamgar-Parsi, K.[Kian],
Notes on image processing with partial differential equations,
ICIP15(1737-1741)
IEEE DOI 1512
Anisotropic diffusion BibRef

Kim, H.[Hakran], Kim, S.J.[Seong-Jai],
Impulse-mowing anisotropic diffusion filter for image denoising,
ICIP14(2923-2927)
IEEE DOI 1502
Anisotropic magnetoresistance BibRef

Åström, F.[Freddie], Felsberg, M.[Michael], Lenz, R.[Reiner],
Color Persistent Anisotropic Diffusion of Images,
SCIA11(262-272).
Springer DOI 1105
BibRef

Terebes, R.[Romulus], Lavialle, O.[Olivier], Germain, C.[Christian], Borda, M.[Monica], Pop, S.[Sorin],
Asymmetric anisotropic diffusion,
ICIP09(3889-3892).
IEEE DOI 0911
BibRef

Maalouf, A.[Aldo], Carre, P.[Philippe], Augereau, B.[Bertrand], Fernandez-Maloigne, C.[Christine],
Bandelet-Based Anisotropic Diffusion,
ICIP07(I: 289-292).
IEEE DOI 0709
BibRef

Lampert, C.H., Wirjadi, O.,
Anisotropic Gaussian Filtering using Fixed Point Arithmetic,
ICIP06(1565-1568).
IEEE DOI 0610
BibRef

Facciolo, G., Lecumberry, F., Almansa, A., Pardo, A., Caselles, V.[Vicent], Rouge, B.,
Constrained Anisotropic Diffusion and some Applications,
BMVC06(III:1049).
PDF File. 0609
BibRef

Yi, H.W.[Hong-Wen], Gregson, P.H.[Peter H.],
A New Numerical Scheme for Anisotropic Diffusion,
ICIAR04(I: 130-138).
Springer DOI 0409
BibRef

Terebes, R., Lavialle, O., Baylou, P., Borda, M.,
Mixed anisotropic diffusion,
ICPR02(III: 760-763).
IEEE DOI 0211
BibRef

Martinez, S.V.[Santiago V.], Mancha, J.M.R.[Juan M. Rendon], Stamon, G.[Georges],
Anisotropic Diffusion by a Recursive Linear Convolving Method: Application to Space-time Segmentation and Pattern Recognition,
VI02(421).
PDF File. 0208
BibRef

Frangakis, A.[Achilleas], Hegerl, R.[Reiner],
Nonlinear Anisotropic Diffusion in Three-Dimensional Electron Microscopy,
ScaleSpace99(386-397). BibRef 9900

Sziranyi, T.[Tamas], Kopilovic, I.[Ivan], Toth, B.[Barnabas],
Anisotropic Diffusion as a Preprocessing Step for Efficient Image Compression,
ICPR98(Vol II: 1565-1567).
IEEE DOI 9808
BibRef

Lee, S.H.[Suk Ho], Kang, M.G.[Moon Gi],
Spatio-temporal video filtering algorithm based on 3-D anisotropic diffusion equation,
ICIP98(II: 447-450).
IEEE DOI 9810
BibRef

Qi, H., Snyder, W.E., and Bilbro, G.L.,
Using Mean Field Annealing to Solve Anisotropic Diffusion Problems,
ICIP97(III: 352-355).
IEEE DOI BibRef 9700

Black, M.J., Sapiro, G., Marimont, D.H., and Heeger, D.,
Robust Anisotropic Diffusion and Sharpening of Scalar and Vector Images,
ICIP97(I: 263-266).
IEEE DOI BibRef 9700

Benharrosh, J.M.[Jean-Michel], Berthod, M.[Marc], and Houzelle, S.[Stephane],
How to Preserve Cartographic Features Using Anisotropic Diffusion,
SCIA97(xx-yy)
HTML Version. 9705
BibRef

Sanchez Ortiz, G.I., Rueckert, D., and Burger, P.,
Knowledge-Based Anisotropic Diffusion of Vector-Valued 4-Dimensional Cardiac MR Images,
BMVC96(Poster Session 2). 9608
Imperial College BibRef

Perona, P.[Pietro], - California Institute of Technology Shiotan, T.[Taka], - Kyoto University Malik, J.[Jitendra], - University of California at Berkeley
Anisotropic Diffusion,
GDDCV94(Chapter 2) pp. 73-92. BibRef 0000

Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in
Diffusion Process for Enhancement, Restoration and Smoothing .