Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aspc..371..247w&link_type=abstract
Statistical Challenges in Modern Astronomy IV ASP Conference Series, Vol. 371, proceedings of the conference held 12-15 June 200
Astronomy and Astrophysics
Astronomy
6
Scientific paper
Many astronomical studies rely upon the accurate reconstruction of spatially distributed phenomena from photon-limited data. These measurements are inherently ``noisy'' due to low photon counts. In addition, the behavior of the underlying photon intensity functions can be very rich and complex, and consequently difficult to model a priori. Nonparametric multiscale reconstruction methods overcome these challenges and facilitate characterization of fundamental performance limits. In this paper, we review several multiscale approaches to photon-limited image reconstruction, including wavelets combined with variance stabilizing transforms, corrected Haar wavelet transforms, multiplicative multiscale innovations, platelets, and the à trous wavelet transform. We discuss the performance of these methods in simulation studies, and describe statistical analyses of their performances.
Willett Rufus
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