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Proceedings Paper

A Bayesian approach to filter design: detection of compact sources
Author(s): Marcos Lopez-Caniego; Diego Herranz; Rita Belen Barreiro; Jose Luis Sanz
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Paper Abstract

We consider filters for the detection and extraction of compact sources on a background. We make a one-dimensional treatment (though a generalization to two or more dimensions is possible) assuming that the sources have a Gaussian profile whereas the background is modeled by an homogeneous and isotropic Gaussian random field, characterized by a scale-free power spectrum. Local peak detection is used after filtering. Then, a Bayesian Generalized Neyman-Pearson test is used to define the region of acceptance that includes not only the amplification but also the curvature of the sources and the a priori probability distribution function of the sources. We search for an optimal filter between a family of Matched-type filters (MTF) modifying the filtering scale such that it gives the maximum number of real detections once fixed the number density of spurious sources. We have performed numerical simulations to test theoretical ideas.

Paper Details

Date Published: 21 May 2004
PDF: 10 pages
Proc. SPIE 5299, Computational Imaging II, (21 May 2004); doi: 10.1117/12.541151
Show Author Affiliations
Marcos Lopez-Caniego, Univ. de Cantabria (Spain)
Instituto de Fisica de Cantabria (Spain)
Diego Herranz, ISTI-CNR (Italy)
Rita Belen Barreiro, Univ. de Cantabria (Spain)
Jose Luis Sanz, Univ. de Cantabria (Spain)

Published in SPIE Proceedings Vol. 5299:
Computational Imaging II
Charles A. Bouman; Eric L. Miller, Editor(s)

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