Bandlimited shearlet-type frames with nice duals

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摘要

The present paper constructs a frame/dual frame pair of shearlet type such that both frames possess the distinctive time–frequency localization properties needed in establishing their desirable approximation properties. Our construction is based on a careful pasting together of two bandlimited shearlet Parseval frames associated with two different frequency cones, inspired by domain decomposition methods used primarily for the solution of PDEs.

论文关键词:primary,41AXX,secondary,41A25,53B,22E,Shearlets,Nonlinear approximation,Parabolic molecules,Frames

论文评审过程:Received 12 July 2012, Revised 26 October 2012, Available online 6 November 2012.

论文官网地址:https://doi.org/10.1016/j.cam.2012.10.030