131 citations · 174 across the 21 of their papers we have counts for
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math.FA2015
Anisotropic Multiscale Systems on Bounded Domains
Philipp Grohs, Gitta Kutyniok, Jackie Ma +2
We provide a construction of multiscale systems on a bounded domain coined boundary shearlet systems, which satisfy several properties advantageous for appl…
math.FA2015
Shearlet approximation of functions with discontinuous derivatives
Philipp Petersen
We demonstrate that shearlet systems yield superior -term approximation rates compared with wavelet systems of functions whose first or higher order derivatives are smooth away…
math.FA2015
Detection of Geometric Structures by an Optimally Subsampled Shearlet System in Noisy Digital Images
Philipp Petersen
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 she…