Title
Compactly Supported Shearlets are Optimally Sparse
Abstract
Cartoon-like images, i.e., C2 functions which are smooth apart from a C2 discontinuity curve, have by now become a standard model for measuring sparse (nonlinear) approximation properties of directional representation systems. It was already shown that curvelets, contourlets, as well as shearlets do exhibit sparse approximations within this model, which are optimal up to a log-factor. However, all those results are only applicable to band-limited generators, whereas, in particular, spatially compactly supported generators are of uttermost importance for applications.
Year
DOI
Venue
2011
10.1016/j.jat.2011.06.005
Journal of Approximation Theory
Keywords
DocType
Volume
Curvilinear discontinuities,Edges,Nonlinear approximation,Optimal sparsity,Shearlets,Thresholding,Wavelets
Journal
163
Issue
ISSN
Citations 
11
0021-9045
22
PageRank 
References 
Authors
1.35
6
2
Name
Order
Citations
PageRank
Gitta Kutyniok132534.77
Wang-Q Lim21959.41