19 December 2002 Detection of compact sources with multifilters
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We present scale-adaptive filters that optimize the detection/separation of compact sources on a background. We assume that the sources have a multiquadric profile and a background modeled by an homogeneous and isotropic random field characterized by a power spectrum. We make an n-dimensional treatment but consider two interesting physical applications related to clusters of galaxies (Sunyaev-Zel'dovich effect and X-ray emission). We extend this methodology to multifrequency maps, introducing multifilters that optimize the detection on clusters on microwave maps. We apply these multifilters to small patches (corresponding to 10 frequency channels) of the sky such as the ones that will produce the future ESA Planck mission. Our method predicts a number of ≈10000 clusters in 2/3 of the sky, being the catalog complete over fluxes S > 170mJy at 300GHz.
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D. Herranz, Jose Luis Sanz, R. B. Barreiro, M. Hobson, Enrique Martinez-Gonzalez, J. M. Diego, "Detection of compact sources with multifilters", Proc. SPIE 4847, Astronomical Data Analysis II, (19 December 2002); doi: 10.1117/12.460427; https://doi.org/10.1117/12.460427

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