6.1.5 Diffusion Applied to Edge Detection

Chapter Contents (Back)
Edge Detection. Diffusion Process.
See also Diffusion Process, Diffusion Operators, Mechanism, or Technique.

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.[Junji], 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


Olsen, S.C.[Sven C.], Winnemöller, H.[Holger], Gooch, B.[Bruce],
Implementing real-time video abstraction,
SigGraph06(Article 133).
WWW Link. Reducing colors for simplification of images. BibRef 0600

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 .


Last update:Mar 16, 2024 at 20:36:19