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A nonlinear variational method for signal segmentation and reconstruction using level set algorithm

A nonlinear variational method for signal segmentation and reconstruction using level set algorithm
A nonlinear variational method for signal segmentation and reconstruction using level set algorithm
A nonlinear functional is considered in this letter for segmentation and noise removal of piecewise continuous signals containing binary information contaminated with Gaussian noise. A discontinuity is defined as points in time scale that separates two signal segments with different amplitude spectra. Segmentation and noise removal of a piecewise continuous signal are obtained by deriving equations minimising the nonlinear functional. An algorithm based on the level set method is employed to implement the solutions minimising the functional. The proposed method is robust in noisy signals and can avoid local minima.
Level set method, Signal segmentation, Signal reconstruction, Nonlinear optimisation
0165-1684
3496-3504
Mahmoodi, Sasan
91ca8da4-95dc-4c1e-ac0e-f2c08d6ac7cf
Sharif, Bayan
d57a4cae-a6f0-4ab3-b2d8-ef594a75857f
Mahmoodi, Sasan
91ca8da4-95dc-4c1e-ac0e-f2c08d6ac7cf
Sharif, Bayan
d57a4cae-a6f0-4ab3-b2d8-ef594a75857f

Mahmoodi, Sasan and Sharif, Bayan (2006) A nonlinear variational method for signal segmentation and reconstruction using level set algorithm. Signal Processing, 86, 3496-3504.

Record type: Article

Abstract

A nonlinear functional is considered in this letter for segmentation and noise removal of piecewise continuous signals containing binary information contaminated with Gaussian noise. A discontinuity is defined as points in time scale that separates two signal segments with different amplitude spectra. Segmentation and noise removal of a piecewise continuous signal are obtained by deriving equations minimising the nonlinear functional. An algorithm based on the level set method is employed to implement the solutions minimising the functional. The proposed method is robust in noisy signals and can avoid local minima.

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More information

Published date: 18 July 2006
Keywords: Level set method, Signal segmentation, Signal reconstruction, Nonlinear optimisation
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 265861
URI: http://eprints.soton.ac.uk/id/eprint/265861
ISSN: 0165-1684
PURE UUID: 2b484617-8c23-487d-93da-6e434b363a4b

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Date deposited: 09 Jun 2008 12:23
Last modified: 19 Jul 2019 22:23

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Contributors

Author: Sasan Mahmoodi
Author: Bayan Sharif

University divisions

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