4.5 Diffusion Process, Diffusion Operators, Mechanism, or Technique

Chapter Contents (Back)
Diffusion Process. See also Diffusion Applied to Edge Detection. Also error diffusion for halftones: See also Half Tone, Generation and Analysis, Printing.

Scott, G.L., Turner, S.C., Zisserman, A.,
Using a Mixed Wave-Diffusion Process to Elicit the Symmetry Set,
IVC(7), No. 1, February 1989, pp. 63-70.
WWW Link. BibRef 8902

Whitaker, R.T.[Ross T.],
Geometry-Limited Diffusion in the Characterization of Geometric Patches in Images,
CVGIP(57), No. 1, January 1993, pp. 111-120.
WWW Link. BibRef 9301

Whitaker, R.T.[Ross T.], Pizer, S.M.[Stephen M.],
A Multi-Scale Approach To Nonuniform Diffusion,
CVGIP(57), No. 1, January 1993, pp. 99-110.
WWW Link. BibRef 9301

Whitaker, R.T.[Ross T.], and Pizer, S.M.[Stephen M.],
Geometry-Based Image Segmentation Using Anisotropic Diffusion,
MDSG94(641-650). BibRef 9400

Whitaker, R.T.[Ross T.], Gerig, G.[Guido],
Vector-Valued Diffusion,
GDDCV94(Chapter 3) BibRef 9400

Proesmans, M.[Marc], Pauwels, E.J.[Eric J.], Van Gool, L.J.[Luc J.], Leuven University
Coupled Geometry-Driven Diffusion Equations for Low-Level Vision,
GDDCV94(Chapter 7). BibRef 9400

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

Li, X.P., Chen, T.W.,
Nonlinear Diffusion with Multiple Edginess Thresholds,
PR(27), No. 8, August 1994, pp. 1029-1037.
WWW Link. BibRef 9408

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

Cottet, G.H., Germain, L.,
Image Processing Through Reaction Combined with Nonlinear Diffusion,
MathComp(61), No. 204, 1993, pp. 659-673. BibRef 9300

Kimia, B.B., Siddiqi, K.,
Geometric Heat-Equation and Nonlinear Diffusion of Shapes and Images,
CVIU(64), No. 3, November 1996, pp. 305-322.
DOI Link 9612
BibRef
Earlier: CVPR94(113-120).
IEEE DOI BibRef

Weickert, J.[Joachim],
Nonlinear Diffusion Scale-Spaces,
GSST97(221-234). Semidiscrete and fully discrete nonlinear scale-space theory. BibRef 9700

Weickert, J.[Joachim],
Recursive Separable Schemes for Nonlinear Diffusion Filters,
ScaleSpace97(xx). 9702
BibRef

Weickert, J., ter Haar Romeny, B.M., Viergever, M.A.,
Efficient and Reliable Schemes for Nonlinear Diffusion Filtering,
IP(7), No. 3, March 1998, pp. 398-410.
IEEE DOI 9803
BibRef

Weickert, J., Zuiderveld, K., ter Haar Romeny, B.M., and Niessen, W.J.,
Parallel Implementations of AOS Schemes: A Fast Way of Nonlinear Diffusion Filtering,
ICIP97(III: 396-399).
IEEE DOI BibRef 9700

Weickert, J.[Joachim],
Anisotropic Diffusion in Image Processing,
Teubner-VerlagStuttgart, Germany, 1998. 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

Niessen, W.J., ter Haar Romeny, B.M.[Bart M.], Florack, L.M.J., Salden, A.H.,
Nonlinear Diffusion of Scalar Images using Well-Posed Differential Operators with Applications in Medical Imaging,
CVPR94(92-97).
IEEE DOI BibRef 9400

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

Zhu, S.C.[Song Chun], Mumford, D.[David],
Prior Learning and Gibbs Reaction-Diffusion,
PAMI(19), No. 11, November 1997, pp. 1236-1250.
IEEE DOI 9712
BibRef

Zhu, S.C.[Song Chun], and Mumford, D.[David],
GRADE: Gibbs Reaction and Diffusion Equation,
ICCV98(847-854).
IEEE DOI BibRef 9800

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

Dibos, F.,
Projective Analysis of 2-D Images,
IP(7), No. 3, March 1998, pp. 274-279.
IEEE DOI 9803
BibRef

Cottet, G.H., El-Ayyadi, M.,
A Volterra Type Model for Image-Processing,
IP(7), No. 3, March 1998, pp. 292-303.
IEEE DOI 9803
BibRef

Sochen, N.A., Kimmel, R., Malladi, R.,
A General Framework for Low-Level Vision,
IP(7), No. 3, March 1998, pp. 310-318.
IEEE DOI 9803
BibRef

Teboul, S., Blanc-Feraud, L., Aubert, G., Barlaud, M.,
Variational Approach for Edge-Preserving Regularization Using Coupled PDEs,
IP(7), No. 3, March 1998, pp. 387-397.
IEEE DOI 9803
BibRef

Schnorr, C.,
A Study of a Convex Variational Diffusion Approach for Image Segmentation and Feature-Extraction,
JMIV(8), No. 3, May 1998, pp. 271-292.
DOI Link 9804
BibRef

Neumann, H., Pessoa, L., Mingolla, E.,
A Neural Architecture of Brightness Perception: Nonlinear Contrast Detection and Geometry Driven Diffusion,
IVC(16), No. 6-7, May 18 1998, pp. 423-446.
WWW Link. 9806
BibRef

Elfallah, A.I., Ford, G.E.,
On Mean-Curvature Diffusion in Nonlinear Image Filtering,
PRL(19), No. 5-6, April 1998, pp. 433-437. 9808
BibRef

Elfallah, A.I., Ford, G.E.,
Mean-Curvature Evolution and Surface-Area Scaling in Image Filtering,
IP(6), No. 5, May 1997, pp. 750-753.
IEEE DOI 9705
BibRef
Earlier:
The evolution of mean curvature in image filtering,
ICIP94(I: 298-302).
IEEE DOI 9411
BibRef

Ford, G.E., Elfallah, A.I.,
Inhomogeneous Surface Diffusion for Image Filtering,
IJIST(8), No. 5, 1997, pp. 450-456. 9710
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

Tang, B.[Bei], Sapiro, G.[Guillermo], Caselles, V.[Vicent],
Diffusion of General Data on Non-Flat Manifolds via Harmonic Maps Theory: The Direction Diffusion Case,
IJCV(36), No. 2, February 2000, pp. 149-161.
DOI Link 0004
BibRef
Earlier:
Direction Diffusion,
ICCV99(1245-1252).
IEEE DOI Diffusion with vector data. BibRef

Kimmel, R.[Ron], Malladi, R.[Raul], Sochen, N.A.[Nir A.],
Images as Embedded Maps and Minimal Surfaces: Movies, Color, Texture, and Volumetric Medical Images,
IJCV(39), No. 2, September 2000, pp. 111-129.
DOI Link 0008
BibRef
Earlier:
Images as Embedding Maps and Minimal Surfaces: Movies, Color, and Volumetric Medical Images,
CVPR97(350-355).
IEEE DOI 9704
Image processing framework. BibRef
And: A1, A3, A2:
Images as Embedding Maps and Minimal Surfaces: A Unified Approach for Image Diffusion,
ICIP97(III: 368-371).
IEEE DOI BibRef

Sochen, N.A., Kimmel, R., Bruckstein, A.M.,
Diffusions and Confusions in Signal and Image Processing,
JMIV(14), No. 3, May 2001, pp. 195-209.
DOI Link 0106
BibRef

Malm, H.[Henrik], Sparr, G.[Gunnar], Hult, J.[Johan], Kaminski, C.F.[Clemens F.],
Nonlinear diffusion filtering of images obtained by planar laser-induced fluorescence spectroscopy,
JOSA-A(17), No. 11, December 2000, pp. 2148-2156. 0101
BibRef

Pardo, A., Sapiro, G.,
Vector probability diffusion,
SPLetters(8), No. 4, April 2001, pp. 106-109.
IEEE Top Reference. 0001
BibRef
Earlier: A1 only: ICIP00(Vol I: 884-887).
IEEE DOI 0008
BibRef

Weickert, J.[Joachim], Heers, J.[Josef], Schnörr, C.[Christoph], Zuiderveld, K.J.[Karel J.], Scherzer, O.[Otmar], Stiehl, H.S.[H. Siegfried],
Fast Parallel Algorithms for a Broad Class of Nonlinear Variational Diffusion Approaches,
RealTimeImg(7), No. 1, February 2001, pp. 31-45.
DOI Link 0106
BibRef

Chen, Y.M.[Yun-Mei], Bose, P.[Paromita],
On the Incorporation of Time-delay Regularization into Curvature-Based Diffusion,
JMIV(14), No. 2, March 2001, pp. 149-164.
DOI Link 0106
BibRef

Lee, S.H.[Sang Hwa], Kanatsugu, Y.[Yasuaki], Park, J.I.[Jong-Il],
MAP-Based Stochastic Diffusion for Stereo Matching and Line Fields Estimation,
IJCV(47), No. 1-3, April-June 2002, pp. 195-218.
DOI Link 0203
BibRef
Earlier:
Object Segmentation in Stereo Image Using Cooperative Line Field in Stochastic Diffusion,
ICIP01(III: 62-65).
IEEE DOI 0108
BibRef

Lee, S.,
Correspondence and Line Field Estimation Using Map-based Probabilistic Diffusion Algorithm,
ICIP00(Vol I: 844-847).
IEEE DOI 0008
BibRef

Kimmel, R.[Ron], Sochen, N.A.[Nir A.],
Orientation Diffusion or How to Comb a Porcupine,
JVCIR(13), No. 1/2, March/June 2002, pp. 238-248.
DOI Link 0204
BibRef

Sochen, N.A., Kimmel, R.,
Combing porcupine via stereographic direction diffusion,
ScaleSpace01(xx-yy). 0106
BibRef

Handloviová, A.[Angela], Mikula, K.[Karol], Sgallari, F.[Fiorella],
Variational Numerical Methods for Solving Nonlinear Diffusion Equations Arising in Image Processing,
JVCIR(13), No. 1/2, March/June 2002, pp. 217-237.
DOI Link 0204
BibRef

Krivá, Z.[Zuzana], Mikula, K.[Karol],
An Adaptive Finite Volume Scheme for Solving Nonlinear Diffusion Equations in Image Processing,
JVCIR(13), No. 1/2, March/June 2002, pp. 22-35.
DOI Link 0204
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

Chen, Y., Levine, S.E.,
Image Recovery via Diffusion Tensor and Time-Delay Regularization,
JVCIR(13), No. 1/2, March/June 2002, pp. 156-175.
DOI Link 0204
BibRef

Boccignone, G.[Giuseppe], Ferraro, M.[Mario], Caelli, T.M.[Terry M.],
Generalized Spatio-Chromatic Diffusion,
PAMI(24), No. 10, October 2002, pp. 1298-1309.
IEEE Abstract. 0210
Diffusion for color images. BibRef

Mrázek, P.[Pavel], Navara, M.[Mirko],
Selection of Optimal Stopping Time for Nonlinear Diffusion Filtering,
IJCV(52), No. 2-3, May-June 2003, pp. 189-203.
DOI Link 0301
BibRef
Earlier: A1 only: ScaleSpace01(xx-yy). 0106
BibRef

Shih, A.C., Liao, H.M., Lu, C.,
A new iterated two-band diffusion equation: theory and its application,
IP(12), No. 4, April 2003, pp. 466-476.
IEEE DOI 0306
BibRef

Barash, D.[Danny], Schlick, T.[Tamar], Israeli, M.[Moshe], Kimmel, R.[Ron],
Multiplicative Operator Splittings in Nonlinear Diffusion: From Spatial Splitting to Multiple Timesteps,
JMIV(19), No. 1, July 2003, pp. 33-48.
DOI Link 0307
BibRef

Manay, S., Yezzi, A.J.,
Anti-Geometric Diffusion for Adaptive Thresholding and Fast Segmentation,
IP(12), No. 11, November 2003, pp. 1310-1323.
IEEE DOI 0311
BibRef
And:
A second-order PDE tecumque to construct distance functions with more accurate derivatives,
ICIP03(I: 873-876).
IEEE DOI 0312
BibRef
Earlier:
Anti-geometric Diffusion for Adaptive Thresholding and Segmentation,
ICIP01(II: 829-832).
IEEE DOI 0108
See also Integral Invariants for Shape Matching. See also Dynamic Shape and Appearance Modeling via Moving and Deforming Layers. BibRef

Benazza-Benyahia, A., Pesquet, J.C., Krim, H.,
A nonlinear diffusion-based three-band filter bank,
SPLetters(10), No. 12, December 2003, pp. 360-363.
IEEE Abstract. 0401
BibRef

Bao, Y.[Yufang], Krim, H.[Hamid],
Smart Nonlinear Diffusion: A Probabilistic Approach,
PAMI(26), No. 1, January 2004, pp. 63-72.
IEEE Abstract. 0401
Analysis of diffusion. See also Scale Space and Edge Detection using Anisotropic Diffusion. BibRef

Krim, H., Bao, Y.,
Nonlinear diffusion: A probabilistic view,
ICIP99(II:21-25).
IEEE DOI BibRef 9900

Chef d'Hotel, C., Tschumperlé, D., Deriche, R., Faugeras, O.D.,
Regularizing Flows for Constrained Matrix-Valued Images,
JMIV(20), No. 1-2, January-March 2004, pp. 147-162.
DOI Link 0403
BibRef
Earlier:
Constrained Flows of Matrix-Valued Functions: Application to Diffusion Tensor Regularization,
ECCV02(I: 251 ff.).
Springer DOI 0205
See also Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications. BibRef

Bruhn, A.[Andrés], Jakob, T.[Tobias], Fischer, M.[Markus], Kohlberger, T.[Timo], Weickert, J.[Joachim], Brüning, U.[Ulrich], Schnörr, C.[Christoph],
High performance cluster computing with 3-D nonlinear diffusion filters,
RealTimeImg(10), No. 1, February 2004, pp. 41-51.
WWW Link. 0405
BibRef
Earlier:
Designing 3-D Nonlinear Diffusion Filters for High Performance Cluster Computing,
DAGM02(290 ff.).
Springer DOI 0303
BibRef

Kim, H.Y.[Hae Yong], Giacomantone, J.[Javier], Cho, Z.H.[Zang Hee],
Robust anisotropic diffusion to produce enhanced statistical parametric map from noisy fMRI,
CVIU(99), No. 3, September 2005, pp. 435-452.
WWW Link. 0508
BibRef

Narayan, B.L., Murthy, C.A., Pal, S.K.[Sankar K.],
Maxdiff kd-trees for data condensation,
PRL(27), No. 3, February 2006, pp. 187-200.
WWW Link. 0512
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

Duarte-Carvajalino, J.M.[Julio M.], Castillo, P.E.[Paul E.], Velez-Reyes, M.[Miguel],
Comparative Study of Semi-Implicit Schemes for Nonlinear Diffusion in Hyperspectral Imagery,
IP(16), No. 5, May 2007, pp. 1303-1314.
IEEE DOI 0704
BibRef

Duarte-Carvajalino, J.M., Sapiro, G., Vélez-Reyes, M.[Miguel], Castillo, P.E.,
Multiscale Representation and Segmentation of Hyperspectral Imagery Using Geometric Partial Differential Equations and Algebraic Multigrid Methods,
GeoRS(46), No. 8, August 2008, pp. 2418-2434.
IEEE DOI 0808
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

Plonka, G., Ma, J.,
Nonlinear Regularized Reaction-Diffusion Filters for Denoising of Images With Textures,
IP(17), No. 8, August 2008, pp. 1283-1294.
IEEE DOI 0808
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

Guidotti, P.[Patrick], Lambers, J.V.[James V.],
Two New Nonlinear Nonlocal Diffusions for Noise Reduction,
JMIV(33), No. 1, January 2009, pp. xx-yy.
Springer DOI 0804
BibRef

Gur, Y.[Yaniv], Sochen, N.A.[Nir A.],
Regularizing Flows over Lie Groups,
JMIV(33), No. 2, February 2009, pp. xx-yy.
Springer DOI 0903
BibRef
Earlier:
Coordinate-Free Diffusion over Compact Lie-Groups,
SSVM07(580-591).
Springer DOI 0705
BibRef

Didas, S.[Stephan], Weickert, J.[Joachim], Burgeth, B.[Bernhard],
Properties of Higher Order Nonlinear Diffusion Filtering,
JMIV(33), No. 3, November 2009, pp. xx-yy.
Springer DOI 0909
BibRef
Earlier:
Stability and Local Feature Enhancement of Higher Order Nonlinear Diffusion Filtering,
DAGM05(451).
Springer DOI 0509
BibRef

Didas, S.[Stephan], Weickert, J.[Joachim],
From Adaptive Averaging to Accelerated Nonlinear Diffusion Filtering,
DAGM06(101-110).
Springer DOI 0610
BibRef

Breuß, M.[Michael], Brox, T.[Thomas], Sonar, T.[Thomas], Weickert, J.[Joachim],
Stabilised Nonlinear Inverse Diffusion for Approximating Hyperbolic PDEs,
ScaleSpace05(536-547).
Springer DOI 0505
BibRef

Franken, E.[Erik], Duits, R.[Remco],
Crossing-Preserving Coherence-Enhancing Diffusion on Invertible Orientation Scores,
IJCV(85), No. 3, December 2009, pp. xx-yy.
Springer DOI 0911
BibRef

Franken, E.[Erik], Duits, R.[Remco], ter Haar Romeny, B.M.[Bart M.],
Curvature Estimation for Enhancement of Crossing Curves,
MMBIA07(1-8).
IEEE DOI 0710
BibRef

Franken, E.[Erik], Duits, R.[Remco],
Scale Spaces on the 3D Euclidean Motion Group for Enhancement of HARDI Data,
SSVM09(820-831).
Springer DOI 0906
BibRef

Franken, E.[Erik], Duits, R.[Remco], ter Haar Romeny, B.M.[Bart M.],
Nonlinear Diffusion on the 2D Euclidean Motion Group,
SSVM07(461-472).
Springer DOI 0705
BibRef

Duits, R.[Remco], Franken, E.[Erik],
Line Enhancement and Completion via Linear Left Invariant Scale Spaces on SE(2),
SSVM09(795-807).
Springer DOI 0906
BibRef

Steidl, G.[Gabriele], Teuber, T.,
Diffusion Tensors for Processing Sheared and Rotated Rectangles,
IP(18), No. 12, December 2009, pp. 2640-2648.
IEEE DOI 0912
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

Astola, L.[Laura], Fuster, A.[Andrea], Florack, L.M.J.[Luc M.J.],
A Riemannian Scalar Measure for Diffusion Tensor Images,
PR(44), No. 9, September 2011, pp. 1885-1891.
Elsevier DOI 1106
BibRef
Earlier: A2, A1, A3: Fuster, A.[Andrea], Astola, L.[Laura], Florack, L.M.J.[Luc M.J.], CAIP09(419-426).
Springer DOI 0909
Riemann geometry; Diffusion tensor imaging; Ricci scalar; Finsler geometry; High angular resolution diffusion imaging BibRef

Astola, L.[Laura], Florack, L.M.J.[Luc M.J.],
Sticky vector fields, and other geometric measures on diffusion tensor images,
MMBIA08(1-7).
IEEE DOI 0806
BibRef

Florack, L.M.J.[Luc M.J.], Astola, L.[Laura],
A multi-resolution framework for diffusion tensor images,
Tensor08(1-7).
IEEE DOI 0806
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

Ĺström, F.[Freddie], Felsberg, M.[Michael], Baravdish, G.[George],
Mapping-Based Image Diffusion,
JMIV(57), No. 3, March 2017, pp. 293-323.
Springer DOI 1702
BibRef

Ĺström, F.[Freddie], Zografos, V.[Vasileios], Felsberg, M.[Michael],
Density Driven Diffusion,
SCIA13(718-730).
Springer DOI 1311
BibRef

Sayin, M.O., Kozat, S.S.,
Single Bit and Reduced Dimension Diffusion Strategies Over Distributed Networks,
SPLetters(20), No. 10, 2013, pp. 976-979.
IEEE DOI 1309
Adaptive estimation BibRef

Dedecius, K., Seckarova, V.,
Dynamic Diffusion Estimation in Exponential Family Models,
SPLetters(20), No. 11, 2013, pp. 1114-1117.
IEEE DOI 1310
Abstracts BibRef

Hu, W.M.[Wei-Ming], Hu, R.G.[Rui-Guang], Xie, N.H.[Nian-Hua], Ling, H.B.[Hai-Bin], Maybank, S.J.,
Image Classification Using Multiscale Information Fusion Based on Saliency Driven Nonlinear Diffusion Filtering,
IP(23), No. 4, April 2014, pp. 1513-1526.
IEEE DOI 1404
image classification BibRef

Hu, W.M.[Wei-Ming], Xie, N.H.[Nian-Hua], Hu, R.G.[Rui-Guang], Ling, H.B.[Hai-Bin], Chen, Q., Yan, S., Maybank, S.J.,
Bin Ratio-Based Histogram Distances and Their Application to Image Classification,
PAMI(36), No. 12, December 2014, pp. 2338-2352.
IEEE DOI 1411
Computational complexity Due to background variations. BibRef

Hu, R.G.[Rui-Guang], Hu, W.M.[Wei-Ming], Li, J.[Jun],
Saliency Driven Nonlinear Diffusion Filtering for Object Recognition,
ACPR13(381-385)
IEEE DOI 1408
filtering theory 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
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Nye, T.M.W., White, M.C.,
Diffusion on Some Simple Stratified Spaces,
JMIV(50), No. 1-2, September 2014, pp. 115-125.
WWW Link.
Springer DOI 1408
BibRef

Peter, P.[Pascal], Weickert, J.[Joachim], Munk, A.[Axel], Krivobokova, T.[Tatyana], Li, H.[Housen],
Justifying Tensor-Driven Diffusion from Structure-Adaptive Statistics of Natural Images,
EMMCVPR15(263-277).
Springer DOI 1504
BibRef

Liu, R., Zhong, G., Cao, J., Lin, Z., Shan, S., Luo, Z.,
Learning to Diffuse: A New Perspective to Design PDEs for Visual Analysis,
PAMI(38), No. 12, December 2016, pp. 2457-2471.
IEEE DOI 1609
Boundary conditions BibRef

Guidotti, P.[Patrick],
A Class of Elliptic Equations with Interior Degeneration,
JMIV(58), No. 3, July 2017, pp. 411-426.
Springer DOI 1706
BibRef

Araújo, A., Barbeiro, S., Cuesta, E., Durán, A.,
Cross-Diffusion Systems for Image Processing: II. The Nonlinear Case,
JMIV(58), No. 3, July 2017, pp. 427-446.
Springer DOI 1706
BibRef
And:
Cross-Diffusion Systems for Image Processing: I. The Linear Case,
JMIV(58), No. 3, July 2017, pp. 447-467.
Springer DOI 1706
BibRef

Feng, W.[Wensen], Qiao, P.[Peng], Xi, X.[Xuanyang], Chen, Y.J.[Yun-Jin],
Image Denoising via Multiscale Nonlinear Diffusion Models,
SIIMS(10), No. 3, 2017, pp. 1234-1257.
DOI Link 1710
BibRef


Iscen, A.[Ahmet], Tolias, G.[Giorgos], Avrithis, Y.[Yannis], Furon, T.[Teddy], Chum, O.[Ondrej],
Efficient Diffusion on Region Manifolds: Recovering Small Objects with Compact CNN Representations,
CVPR17(926-935)
IEEE DOI 1711
Closed-form solutions, Image retrieval, Indexing, Manifolds, Matrix decomposition, Symmetric matrices BibRef

Gu, X.[Xuan], Sidén, P.[Per], Wegmann, B.[Bertil], Eklund, A.[Anders], Villani, M.[Mattias], Knutsson, H.[Hans],
Bayesian Diffusion Tensor Estimation with Spatial Priors,
CAIP17(I: 372-383).
Springer DOI 1708
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

Yagoubi, M.R.[Mohamed Riad], Serir, A.[Amina], Beghdadi, A.[Azeddine],
A new automatic framework for document image enhancement process based on anisotropic diffusion,
ICDAR15(1126-1130)
IEEE DOI 1511
Document image 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

Thuerck, D.[Daniel], Kuijper, A.[Arjan],
Lazy Nonlinear Diffusion Parameter Estimation,
CIAP13(I:211-220).
Springer DOI 1311
BibRef

Donoser, M.[Michael], Bischof, H.[Horst],
Diffusion Processes for Retrieval Revisited,
CVPR13(1320-1327)
IEEE DOI 1309
Diffusion Processes; MPEG7; Random Walk; Retrieval. BibRef

Viola, F.[Fabio], Fitzgibbon, A.[Andrew], Cipolla, R.[Roberto],
A unifying resolution-independent formulation for early vision,
CVPR12(494-501).
IEEE DOI 1208
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Angulo, J.[Jesus],
Non-linearization of free Schrodinger equation and pseudo-morphological complex diffusion operators,
ICIP11(73-76).
IEEE DOI 1201
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Ferrarese, F.P.[Francesca Pizzorni], Daducci, A.[Alessandro], Cuadra, M.B.[Meritxell Bach], Lemkaddem, A.[Alia], Granziera, C.[Cristina], Thiran, J.P.[Jean-Philippe], Menegaz, G.[Gloria],
Towards a diffusion image processing validation and accuracy prediction framework,
ICIP11(2269-2272).
IEEE DOI 1201
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Ziou, D.[Djemel], Hore, A.[Alain],
Reducing aliasing in images: A simple diffusion equation based on the inverse diffusivity,
ICIP11(3389-3392).
IEEE DOI 1201
BibRef

Wang, H.N.[Hong-Nan], Zhao, C.X.[Chun-Xia], Zhang, H.F.[Hao-Feng], Hu, Y.[Yong], Sun, M.M.[Ming-Ming],
Curvature diffusion evolution in image filtering,
ICARCV08(114-118).
IEEE DOI 1109
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Mandava, A.K.[Ajay K.], Regentova, E.E.[Emma E.],
Adaptive Non-linear Diffusion in Wavelet Domain,
ICIAR11(I: 58-68).
Springer DOI 1106
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Ĺström, F.[Freddie], Felsberg, M.[Michael], Lenz, R.[Reiner],
Color Persistent Anisotropic Diffusion of Images,
SCIA11(262-272).
Springer DOI 1105
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Chen, Y.P.[Yi-Ping], Wang, L.S.[Lian-Sheng], Shi, L.[Lin], Wang, D.[Defeng], Heng, P.A.[Pheng-Ann], Wong, T.T.[Tien-Tsin], Li, X.[Xiang],
Structure-preserving multiscale vessel enhancing diffusion filter,
ICIP10(3565-3568).
IEEE DOI 1009
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Roussos, A.[Anastasios], Maragos, P.[Petros],
Tensor-based image diffusions derived from generalizations of the Total Variation and Beltrami Functionals,
ICIP10(4141-4144).
IEEE DOI 1009
BibRef

Krajsek, K.[Kai], Scharr, H.[Hanno],
Diffusion filtering without parameter tuning: Models and inference tools,
CVPR10(2536-2543).
IEEE DOI 1006
BibRef

Seo, D.H.[Do-Hyung], Vemuri, B.C.[Baba C.],
Complex diffusion on image graphs,
ICIP09(2969-2972).
IEEE DOI 0911
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

Nishiguchi, H.[Haruhiko], Imiya, A.[Atsushi], Sakai, T.[Tomoya],
Laplacian Based Non-Linear Diffusion Filtering,
ICPR06(III: 838-841).
IEEE DOI 0609
BibRef
And:
Hierarchical Tree of Image Derived by Diffusion Filtering,
IWCIA06(453-465).
Springer DOI 0606
BibRef

Dargent, R., Lavialle, O., Guillon, S., Baylou, P.,
Sector-based diffusion filtering,
ICPR04(III: 679-682).
IEEE DOI 0409
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

Jiang, H.[Han], Moloney, C.,
Error concealment using a diffusion based method,
ICIP02(I: 832-835).
IEEE DOI 0210
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).
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Dam, E.B.[Erik B.], Nielsen, M.,
Exploring nonlinear diffusion: the diffusion echo,
ScaleSpace01(xx-yy). 0106
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Tang, B., Sapiro, G.,
Chromaticity Diffusion,
ICIP00(Vol II: 784-787).
IEEE DOI 0008
BibRef

Kubota, T.[Toshiro], Espinal, F.[Fausto],
Reaction-diffusion Systems for Hypothesis Propagation,
ICPR00(Vol III: 543-546).
IEEE DOI 0009
BibRef

Toczyski, W.D., Papanikolopoulos, N.P.,
Complementary Linear Biases in Spatial Derivative Estimation for Improving Geometry-driven Diffusion Processes,
ICPR00(Vol III: 1-6).
IEEE DOI 0009
BibRef

Xu, L.Q.,
Data-driven Nonlinear Diffusion for Object Segmentation,
ICIP00(Vol I: 319-322).
IEEE DOI 0008
BibRef

Philomin, V.[Vasanth], Duraiswami, R.[Ramani], Davis, L.S.[Larry S.],
Quasi-Random Sampling for Condensation,
ECCV00(II: 134-149).
Springer DOI 0003
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Frangakis, A.[Achilleas], Hegerl, R.[Reiner],
Nonlinear Anisotropic Diffusion in Three-Dimensional Electron Microscopy,
ScaleSpace99(386-397). BibRef 9900

Lohmiller, W.[Winfried], Slotine, J.J.E.[Jean-Jacques E.],
Global Convergence Rates of Nonlinear Diffusion for Time-Varying Images,
ScaleSpace99(525-530). 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
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King, O., Forsyth, D.A.,
How Does CONDENSATION Behave with a Finite Number of Samples?,
ECCV00(I: 695-709).
Springer DOI 0003
BibRef

Ye, J.C., Webb, K.J., Millane, R.P., Downar, T.J.,
Optimal parameter updating for optical diffusion imaging,
ICIP98(III: 390-393).
IEEE DOI 9810
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

Hewer, G.A., Kenney, C.S., Peterson, L., and van Nevel, A.,
Applied Partial Differential Variational Techniques,
ICIP97(III: 372-375).
IEEE DOI BibRef 9700

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)
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Pollak, I.[Ilya],
Scale Space Analysis by Stabilized Inverse Diffusion Equations,
ScaleSpace97(xx). 9702
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Arridge, S.R.[Simon R.], Simmons, A.,
Multi-Spectral Probabilistic Diffusion Using Bayesian Classification,
ScaleSpace97(xx). 9702
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Beekman, F.J.[Freek J.], Sijpen, E.T.P., Niessen, W.J.,
Supervised Diffusion Parameter Selection for Processing SPECT Brain Images,
ScaleSpace97(xx). 9702
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Cong, G., Ma, S.D.,
Nonlinear Diffusion for Early Vision,
ICPR96(I: 403-406).
IEEE DOI 9608
(Chinese Academy of Sciences, PRC) 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

Yacoob, Y.[Yaser], Davis, L.S.[Larry S.],
Early Vision Processing Using a Multi-Stage Diffusion Process,
CVPR93(41-46).
IEEE DOI BibRef 9300

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


Last update:Nov 18, 2017 at 20:56:18