2004/05/21 by M. López-Caniego, M. Lopez-Caniego, D. Herranz +2 · 2 citations
Computer Science · Engineering · Physics and Astronomy · #Aerodynamics and Acoustics in Jet Flows #Gaussian Processes and Bayesian Inference #Scientific Research and Discoveries #astro-ph
paper · pdf · doi:10.1117/12.541151
published as Proc.SPIE Int.Soc.Opt.Eng. 5299 (2004) 145L · 10 pages, 2 figures. SPIE Proceedings "Electronic Imaging II", San Jose, CA. January 2004
openalex publication_date 2004/05/21 · arxiv created 2005/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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.