Compactly Supported Curvelet-Type Systems
Joint Authors
Rasmussen, Kenneth N.
Nielsen, Morten
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-06
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We study a flexible method for constructing curvelet-type frames.
These curvelet-type systems have the same sparse representation properties as curvelets for appropriate classes of smooth functions, and the flexibility of the method allows us to give a constructive description of how to construct curvelet-type systems with a prescribed nature such as compact support in direct space.
The method consists of using the machinery of almost diagonal matrices to show that a system of curvelet molecules which is sufficiently close to curvelets constitutes a frame for curvelet-type spaces.
Such a system of curvelet molecules can then be constructed using finite linear combinations of shifts and dilates of a single function with sufficient smoothness and decay.
American Psychological Association (APA)
Rasmussen, Kenneth N.& Nielsen, Morten. 2012. Compactly Supported Curvelet-Type Systems. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-994261
Modern Language Association (MLA)
Rasmussen, Kenneth N.& Nielsen, Morten. Compactly Supported Curvelet-Type Systems. Journal of Function Spaces No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-994261
American Medical Association (AMA)
Rasmussen, Kenneth N.& Nielsen, Morten. Compactly Supported Curvelet-Type Systems. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-994261
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994261