Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)

Pacific Grove, CA, USA

Oct. 31, 1994 to Nov. 2, 1994

ISSN: 1058-6393

ISBN: 0-8186-6405-3

pp: 213-217

A.I. El-Fallah , CIPIC, California Univ., Davis, CA, USA

G.E. Ford , CIPIC, California Univ., Davis, CA, USA

ABSTRACT

Proposes a geometrical surface representation for an image, and introduces a nonlinear adaptive filter that diffuses the surface in time at a speed proportional to the mean curvature. Linear variations in intensity (edges) are inclined planes of vanishing mean curvature, and are thus invariant. Noise is characterized by high mean curvature and will be diffused. The authors show that this diffusion resolves the conflict of removing noise while preserving edges. A novel nonlinear scale space filtering relating surface area to the diffusion speed is introduced resulting in very efficient algorithms. Experiments demonstrating excellent performance and efficiency are presented.<>

INDEX TERMS

image enhancement, adaptive filters, nonlinear filters, digital filters, image representation, interference suppression

CITATION

A. El-Fallah and G. Ford, "Mean curvature evolution and surface area scaling in image filtering,"

*Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC)*, Pacific Grove, CA, USA, 1995, pp. 213-217.

doi:10.1109/ACSSC.1994.471447

CITATIONS