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Scale-Adaptive filters for the detection/separation of compact sources

D. Herranz·J. L. Sanz·R. B. Barreiro·E. Martinez-Gonzalez
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Abstract

This paper presents scale-adaptive filters that optimize the detection/separation of compact sources on a background. We assume that the sources have a multiquadric profile, i. e. $τ(x) = {[1 + {(x/r_c)}^2]}^{-λ}, λ\geq {1/2}, x\equiv |\vec{x}|$, and a background modeled by a homogeneous and isotropic random field, characterized by a power spectrum $P(q)\propto q^{-γ}, γ\geq 0, q\equiv |\vec{q}|$. We make an n-dimensional treatment but consider two interesting astrophysical applications related to clusters of galaxies (Sunyaev-Zel'dovich effect and X-ray emission).

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D. Herranz, J. L. Sanz, R. B. Barreiro, E. Martinez-Gonzalez. 2002-04-09. Scale-Adaptive filters for the detection/separation of compact sources. https://doi.org/10.1086/342651

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