The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Nonlinear approximation of functions in two dimensions by sums of wave packets

På svenska

Author

Summary, in English

We consider the problem of approximating functions that arise in wave-equation imaging by sums of wave packets. Our objective is to find sparse decompositions of image functions, over a finite range of scales. We also address the naturally connected task of numerically approximating the wavefront set. We present an approximation where we use the dyadic parabolic decomposition, but the approach is not limited to only this type. The approach makes use of expansions in terms of exponentials, while developing an algebraic structure associated with the decomposition of functions into wave packets. (c) 2009 Elsevier Inc. All rights reserved.

Publishing year

2010

Language

English

Pages

198-213

Publication/Series

Applied and Computational Harmonic Analysis

Volume

29

Issue

2

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • AAK theory in two variables
  • Prony's method in two variables
  • Wave packets
  • Dyadic parabolic decomposition
  • Nonlinear approximation

Status

Published

Research group

  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 1096-603X