Methods for performing fast discrete curvelet transforms of data

Candes, Emmanuel; Donoho, David; Demanet, Laurent

Title: Methods for performing fast discrete curvelet transforms of data

Patent · Tue Nov 23 00:00:00 EST 2010

OSTI ID:1014730

Candes, Emmanuel ^[1]; Donoho, David ^[2]; Demanet, Laurent ^[3]

Los Angeles, CA
Setauket, NY
Pasadena, CA

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.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States); Stanford University (Palo Alto, CA)

Sponsoring Organization:: USDOE

DOE Contract Number:: FG02-02ER25529

Assignee:: California Institute of Technology (Pasadena, CA); Stanford University (Palo Alto, CA)

Patent Number(s):: 7,840,625

Application Number:: US Patent Application 11/400,048

OSTI ID:: 1014730

Country of Publication:: United States

Language:: English

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