Generalized Perona-Malik equation for image restoration

This article introduces generalizations of the Perona-Malik (1990) equation. An edge enhancing functional is proposed for direct edge enhancement. A number of super diffusion operators is introduced for fast and effective smoothing. Statistical information is utilized for robust edge-stopping. Numer...

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Bibliographic Details
Published in:IEEE signal processing letters 1999-07, Vol.6 (7), p.165-167
Main Author: Wei, G.W.
Format: Article
Language:English
Subjects:
Algorithms
Anisotropic magnetoresistance
Computer simulation
Diffusion
Image edge detection
Image enhancement
Image restoration
Image segmentation
Mathematical analysis
Mathematical models
Noise robustness
Nonlinear equations
Operators
Signal restoration
Smoothing
Smoothing methods
Wavelet
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Summary:This article introduces generalizations of the Perona-Malik (1990) equation. An edge enhancing functional is proposed for direct edge enhancement. A number of super diffusion operators is introduced for fast and effective smoothing. Statistical information is utilized for robust edge-stopping. Numerical integration is conducted by using a previously developed quasi-interpolating wavelet method. Computer experiments indicate that the present algorithm is very efficient for edge-detecting and noise-removing.
ISSN:1070-9908
1558-2361
DOI:10.1109/97.769359