Image filtering by gradient inverse inhomogeneous diffusion

Authors:
Adel I. El-Fallah;Gary E. Ford
Affiliations:
Center for Image Processing and Integrated Computing, University of California, Davis, Davis, CA;Center for Image Processing and Integrated Computing, University of California, Davis, Davis, CA
Venue:
ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: image and multidimensional signal processing - Volume V
Year:
1993

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Scale-Space and Edge Detection Using Anisotropic Diffusion

IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital Picture Processing

Digital Picture Processing

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Abstract

A method is developed for the synthesis of a nonlinear adaptive filter based on solutions to the inhomogeneous diffusion equation. The approach is based on the specification of the first derivative of the signal in time (scale). A general solution is derived and is then specialized to the scale invariance case, in which the diffusion coefficient is shown to be the gradient inverse. A new discrete realization of the inhomogeneous diffusion equation is developed for the noise removal problem and experimental results are shown.