Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator

Vidvuds Ozoliņš, Rongjie Lai, Russel Caflisch, Stanley Osher

Research output: Contribution to journalArticle

Abstract

This paper describes an L1 regularized variational framework for developing a spatially localized basis, compressed plane waves, that spans the eigenspace of a differential operator, for instance, the Laplace operator. Our approach generalizes the concept of plane waves to an orthogonal real-space basis with multiresolution capabilities.

Original languageEnglish (US)
Pages (from-to)1691-1696
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Volume111
Issue number5
DOIs
StatePublished - Feb 4 2014

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