Methods for performing fast discrete curvelet transforms of data
Abstract
Fast digital implementations of the second generation curvelet transform for use in data processing are disclosed. One such digital transformation is based on unequally-spaced fast Fourier transforms (USFFT) while another is based on the wrapping of specially selected Fourier samples. Both digital transformations return a table of digital curvelet coefficients indexed by a scale parameter, an orientation parameter, and a spatial location parameter. Both implementations are fast in the sense that they run in about O(n.sup.2 log n) flops for n by n Cartesian arrays or about O(N log N) flops for Cartesian arrays of size N=n.sup.3; in addition, they are also invertible, with rapid inversion algorithms of about the same complexity.
- Inventors:
-
- Los Angeles, CA
- Setauket, NY
- Pasadena, CA
- Issue Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States); Stanford University (Palo Alto, CA)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1014730
- Patent Number(s):
- 7840625
- Application Number:
- US Patent Application 11/400,048
- Assignee:
- California Institute of Technology (Pasadena, CA); Stanford University (Palo Alto, CA)
- Patent Classifications (CPCs):
-
G - PHYSICS G06 - COMPUTING G06F - ELECTRIC DIGITAL DATA PROCESSING
- DOE Contract Number:
- FG02-02ER25529
- Resource Type:
- Patent
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Candes, Emmanuel, Donoho, David, and Demanet, Laurent. Methods for performing fast discrete curvelet transforms of data. United States: N. p., 2010.
Web.
Candes, Emmanuel, Donoho, David, & Demanet, Laurent. Methods for performing fast discrete curvelet transforms of data. United States.
Candes, Emmanuel, Donoho, David, and Demanet, Laurent. Tue .
"Methods for performing fast discrete curvelet transforms of data". United States. https://www.osti.gov/servlets/purl/1014730.
@article{osti_1014730,
title = {Methods for performing fast discrete curvelet transforms of data},
author = {Candes, Emmanuel and Donoho, David and Demanet, Laurent},
abstractNote = {Fast digital implementations of the second generation curvelet transform for use in data processing are disclosed. One such digital transformation is based on unequally-spaced fast Fourier transforms (USFFT) while another is based on the wrapping of specially selected Fourier samples. Both digital transformations return a table of digital curvelet coefficients indexed by a scale parameter, an orientation parameter, and a spatial location parameter. Both implementations are fast in the sense that they run in about O(n.sup.2 log n) flops for n by n Cartesian arrays or about O(N log N) flops for Cartesian arrays of size N=n.sup.3; in addition, they are also invertible, with rapid inversion algorithms of about the same complexity.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2010},
month = {11}
}
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