Perona, P.,
Malik, J.,
Scale Space and Edge Detection using Anisotropic Diffusion,
PAMI(12), No. 7, July 1990, pp. 629-639.
IEEE DOI
BibRef
9007
CVWS87(16-22).
BibRef
Earlier: A2, A1:
Edge Detection by Diffusion,
UCBTR, 1986.
BibRef
And:
A lot like the other multi-scale zero-crossing
analysis and reconstruction papers.
Us a space-variant conductance coefficient based on the magnitude of the
intensity gradient, leading to a nonlinear PDE.
BibRef
Perona, P.,
Malik, J.,
Detecting and Localizing Edges Composed of Steps, Peaks and Roofs,
ICCV90(52-57).
IEEE DOI
BibRef
9000
Perona, P.,
Malik, J.,
Boundary Detection Using Quadratic Filters:
Performance Criteria and Experimental Assessment,
SPIE(1708), April 1992.
BibRef
9204
Kube, P.,
Perona, P.,
Scale-Space Properties of Quadratic Feature-Detectors,
PAMI(18), No. 10, October 1996, pp. 987-999.
IEEE DOI
9611
BibRef
Earlier:
Scale-Space Properties of Quadratic Edge Detectors,
ECCV94(A:115-122).
Springer DOI
BibRef
Kube, P.,
Properties of Energy Edge Detectors,
CVPR92(586-591).
IEEE DOI
BibRef
9200
Nordstrom, K.N.,
Biased Anisotropic Diffusion:
A Unified Regularization and Diffusion Approach to Edge Detection,
IVC(8), No. 4, November 1990, pp. 318-327.
BibRef
9011
Nordstrom, K.N.[K. Niklas],
Minimization of Energy Functional with Curve-Represented Edges,
GDDCV94(Chapter 5).
Stockholm University.
BibRef
9400
Nordström, K.N.[K. Niklas],
Biased anisotropic diffusion: A unified regularization and diffusion
approach to edge detection,
ECCV90(18-27).
Springer DOI
9004
BibRef
Alvarez, L.,
Lions, P.L.,
Morel, J.M.,
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion, II,
NumAnal(29), No. 3, 1992, pp. 845-866.
BibRef
9200
Catte, F.,
Lions, P.L.,
Morel, J.M.,
Coll, T.,
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion,
NumAnal(29), No. 1, 1992, pp. 182-193.
BibRef
9200
Maeda, J.J.[Jun-Ji],
Iizawa, T.[Takuya],
Ishizaka, T.[Tohru],
Ishikawa, C.[Chiharu],
Suzuki, Y.[Yukinori],
Segmentation of natural images using anisotropic diffusion and linking
of boundary edges,
PR(31), No. 12, December 1998, pp. 1993-1999.
Elsevier DOI
BibRef
9812
Fontaine, F.L.[Fred L.],
Basu, S.[Sankar],
Wavelet-based solution to anisotropic diffusion equation for edge
detection,
IJIST(9), No. 5, 1999, pp. 356-368.
BibRef
9900
Kacur, J.[Jozef],
Mikula, K.[Karol],
Solution of Nonlinear Diffusion Appearing in Image Smoothing
and Edge Detection,
AppNum(50), 1995, pp. 47-59.
BibRef
9500
Kacur, J.[Jozef],
Mikula, K.[Karol],
Slowed Anisotropic Diffusion,
ScaleSpace97(xx).
9702
BibRef
Pollak, I.,
Willsky, A.S.,
Krim, H.,
Image Segmentation and Edge Enhancement with Stabilized Inverse
Diffusion Equations,
IP(9), No. 2, February 2000, pp. 256-266.
IEEE DOI
0003
BibRef
Earlier: A1, A3, A2:
Stabilized inverse diffusion equations and segmentation of
vector-valued images,
ICIP98(III: 246-248).
IEEE DOI
9810
See also Multiscale Segmentation and Anomaly Enhancement of SAR Imagery.
BibRef
Gao, J.B.[Jian-Bo],
Zhang, J.[Jun],
Fleming, M.G.,
Pollak, I.,
Cognetta, A.B.,
Segmentation of dermatoscopic images by stabilized inverse diffusion
equations,
ICIP98(III: 823-827).
IEEE DOI
9810
BibRef
Deguchi, K.[Koichiro],
Izumitani, T.[Tadahiro],
Hontani, H.[Hidekata],
Detection and Enhancement of Line Structures in an Image by Anisotropic
Diffusion,
PRL(23), No. 12, October 2002, pp. 1399-1405.
Elsevier DOI
0206
BibRef
Earlier:
VF01(313 ff.).
Springer DOI
0209
BibRef
Larrey-Ruiz, J.[Jorge],
Verdú-Monedero, R.[Rafael],
Morales-Sánchez, J.[Juan],
Angulo, J.[Jesús],
Frequency domain regularization of d-dimensional structure tensor-based
directional fields,
IVC(29), No. 9, August 2011, pp. 620-630.
Elsevier DOI
1109
BibRef
Earlier: A2, A4, A1, A3:
Comparison of orientated and spatially variant morphological filters vs
mean/median filters for adaptive image denoising,
ICIP10(113-116).
IEEE DOI
1009
Directional field regularization; Variational methods; Frequency
domain formulation; Orientation estimation
To estimate local orientation.
BibRef
Mescheder, L.M.,
Lorenz, D.A.,
An Extended Perona-Malik Model Based on Probabilistic Models,
JMIV(60), No. 1, January 2018, pp. 128-144.
Springer DOI
1801
See also Scale Space and Edge Detection using Anisotropic Diffusion.
BibRef
Kamgar-Parsi, B.,
Kamgar-Parsi, B.,
Kamgar-Parsi, K.,
On Computing Gradient of Products in Discretized Spaces and Its
Effects in PDE Image Processing,
SPLetters(25), No. 12, December 2018, pp. 1790-1794.
IEEE DOI
1812
gradient methods, image processing, iterative methods,
partial differential equations, discretized spaces,
Perona-Malik equation
See also Scale Space and Edge Detection using Anisotropic Diffusion.
BibRef
Ochotorena, C.N.,
Yamashita, Y.,
Anisotropic Guided Filtering,
IP(29), No. , 2020, pp. 1397-1412.
IEEE DOI
1911
Image edge detection, Complexity theory, Task analysis,
Linear systems, Acceleration, Hardware, Diffusion processes,
linear-time filtering
BibRef
Maiseli, B.J.[Baraka Jacob],
On the convexification of the Perona-Malik diffusion model,
SIViP(14), No. 6, September 2020, pp. 1283-1291.
WWW Link.
2008
See also Scale Space and Edge Detection using Anisotropic Diffusion.
BibRef
Montesinos, P.,
Belfkih, S.,
Edge Detection by Difference of Low Pass Anisotropic Diffusion,
SCIA01(O-Tu1).
0206
BibRef
Liang, P.[Ping],
Local Scale Controlled Anisotropic Diffusion with Local Noise Estimate
for Image Smoothing and Edge Detection,
ICCV98(193-200).
IEEE DOI
BibRef
9800
Shah, J.,
Segmentation by Nonlinear Diffusion, II,
CVPR92(644-647).
IEEE DOI
BibRef
9200
And:
Segmentation by Nonlinear Diffusion,
CVPR91(202-207).
IEEE DOI
BibRef
Chapter on Edge Detection and Analysis, Lines, Segments, Curves, Corners, Hough Transform continues in
Hueckel -- Basis Functions, Model Fitting for Edge Detection .