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Detection of Geometric Structures by an Optimally Subsampled Shearlet System in Noisy Digital Images

2015/03/30 by Philipp Petersen, Petersen, Philipp
Mathematics · #46-XX #62F03 #62F05 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46-XX #msc:62F03 #msc:62F05

paper · pdf · doi:10.48550/arxiv.1503.08565

arxiv created 2015/04/23 · arxiv updated 2015/04/24

Abstract

We provide a statistical analysis of the ability of digitized continuous shearlet systems to detect objects embedded in white noise. We analyze the possibility to subsample the shearlet transform and obtain a subset of significantly reduced cardinality that can still yield statistically optimal detection results.

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