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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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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description 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.
doi_str_mv 10.1109/97.769359
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source IEEE Electronic Library (IEL) Journals
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
title Generalized Perona-Malik equation for image restoration
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