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Proceedings Paper

Simultaneous multiple regularization parameter selection by means of the L-hypersurface with applications to linear inverse problems posed in the wavelet transform domain
Author(s): Murat Belge; Misha E. Kilmer; Eric L. Miller
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Paper Abstract

In this paper, we introduce the L-hypersurface method for use in linear inverse problems. The new methods is intended to select multiple regularization parameters simultaneously. It is a multidimensional extension of classical L-curve method and hence does not require any specific knowledge about the noise level or signal semi-norm. We give examples of the L-hypersurface method applied the linear inverse problems posed in the wavelet domain and evaluate the performance of the new method on a signal restoration experiment.

Paper Details

Date Published: 22 September 1998
PDF: 9 pages
Proc. SPIE 3459, Bayesian Inference for Inverse Problems, (22 September 1998); doi: 10.1117/12.323812
Show Author Affiliations
Murat Belge, Northeastern Univ. (United States)
Misha E. Kilmer, Northeastern Univ. (United States)
Eric L. Miller, Northeastern Univ. (United States)


Published in SPIE Proceedings Vol. 3459:
Bayesian Inference for Inverse Problems
Ali Mohammad-Djafari, Editor(s)

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