压缩平面波为拉普拉斯算子产生了紧支多分辨率基。
Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator.
机构信息
Departments of Materials Science and Engineering and Mathematics, University of California, Los Angeles, CA 90095-1555.
出版信息
Proc Natl Acad Sci U S A. 2014 Feb 4;111(5):1691-6. doi: 10.1073/pnas.1323260111. Epub 2014 Jan 21.
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.
摘要
本文描述了一种基于 L1 正则化变分框架的方法，用于开发局部化的基函数——压缩平面波，这些平面波可以张成微分算子（例如拉普拉斯算子）的特征空间。我们的方法将平面波的概念推广到了具有多分辨率能力的正交实空间基函数。
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