Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator.
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.
Departments of Materials Science and Engineering and Mathematics, University of California, Los Angeles, CA 90095-1555.
Vidvuds
V
Ozoliņš
Rongjie
R
Lai
Russel
R
Caflisch
Stanley
S
Osher