Anisotropic selective inverse diffusion for signal enhancement in the presence of noise

G. Gilboa; Y. Y. Zeevi; N. Sochen

doi:10.1109/ICASSP.2000.861922

Anisotropic selective inverse diffusion for signal enhancement in the presence of noise

G. Gilboa, Y. Y. Zeevi, N. Sochen

School of Mathematical Sciences

Technion-Israel Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

17 Scopus citations

Abstract

Signal and image enhancement in the presence of noise is considered in the context of the scale-space approach. A modified dynamic process, based on the action of a nonlinear difision equation, is presented. The diffusion coeficient is adjusted according to the local gradient, intensity and other image properties, and as such also reverses its sign, i.e. switches from a forward to a backward (inverse) diffusion process according to a given criterion. This results in enhancement of transients and singularities in the one-dimensional case: And of edges in images, while locally denoising smoother segments of the signal or image. Regularization of ill-posed inverse diffusion problem is discussed. Examples of both one-dimensional signals and images are presented.

Original language	English
Title of host publication	Signal Processing Theory and Methods I
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	221-224
Number of pages	4
ISBN (Electronic)	0780362934
DOIs	https://doi.org/10.1109/ICASSP.2000.861922
State	Published - 2000
Event	25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000 - Istanbul, Turkey Duration: 5 Jun 2000 → 9 Jun 2000

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	1
ISSN (Print)	1520-6149

Conference

Conference	25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000
Country/Territory	Turkey
City	Istanbul
Period	5/06/00 → 9/06/00

Access to Document

10.1109/ICASSP.2000.861922

Cite this

Gilboa, G., Zeevi, Y. Y., & Sochen, N. (2000). Anisotropic selective inverse diffusion for signal enhancement in the presence of noise. In Signal Processing Theory and Methods I (pp. 221-224). Article 861922 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2000.861922

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abstract = "Signal and image enhancement in the presence of noise is considered in the context of the scale-space approach. A modified dynamic process, based on the action of a nonlinear difision equation, is presented. The diffusion coeficient is adjusted according to the local gradient, intensity and other image properties, and as such also reverses its sign, i.e. switches from a forward to a backward (inverse) diffusion process according to a given criterion. This results in enhancement of transients and singularities in the one-dimensional case: And of edges in images, while locally denoising smoother segments of the signal or image. Regularization of ill-posed inverse diffusion problem is discussed. Examples of both one-dimensional signals and images are presented.",

author = "G. Gilboa and Zeevi, {Y. Y.} and N. Sochen",

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Gilboa, G, Zeevi, YY & Sochen, N 2000, Anisotropic selective inverse diffusion for signal enhancement in the presence of noise. in Signal Processing Theory and Methods I., 861922, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 221-224, 25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000, Istanbul, Turkey, 5/06/00. https://doi.org/10.1109/ICASSP.2000.861922

Anisotropic selective inverse diffusion for signal enhancement in the presence of noise. / Gilboa, G.; Zeevi, Y. Y.; Sochen, N.
Signal Processing Theory and Methods I. Institute of Electrical and Electronics Engineers Inc., 2000. p. 221-224 861922 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Gilboa G, Zeevi YY, Sochen N. Anisotropic selective inverse diffusion for signal enhancement in the presence of noise. In Signal Processing Theory and Methods I. Institute of Electrical and Electronics Engineers Inc. 2000. p. 221-224. 861922. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2000.861922

Anisotropic selective inverse diffusion for signal enhancement in the presence of noise

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