A Bayesian approach to filter design:  detection of compact sources

Marcos Lopez-Caniego; Diego Herranz; Rita Belen Barreiro; Jose Luis Sanz

doi:10.1117/12.541151

21 May 2004 A Bayesian approach to filter design: detection of compact sources

Marcos Lopez-Caniego, Diego Herranz, Rita Belen Barreiro, Jose Luis Sanz

Proceedings Volume 5299, Computational Imaging II; (2004) https://doi.org/10.1117/12.541151
Event: Electronic Imaging 2004, 2004, San Jose, California, United States

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.

Citation Download Citation

Marcos Lopez-Caniego, Diego Herranz, Rita Belen Barreiro, and Jose Luis Sanz "A Bayesian approach to filter design: detection of compact sources", Proc. SPIE 5299, Computational Imaging II, (21 May 2004); https://doi.org/10.1117/12.541151

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