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Proceedings Paper

3D discrete curvelet transform
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Paper Abstract

In this paper, we present the first 3D discrete curvelet transform. This transform is an extension to the 2D transform described in Candes et al..1 The resulting curvelet frame preserves the important properties, such as parabolic scaling, tightness and sparse representation for singularities of codimension one. We describe three different implementations: in-core, out-of-core and MPI-based parallel implementations. Numerical results verify the desired properties of the 3D curvelets and demonstrate the efficiency of our implementations.

Paper Details

Date Published: 17 September 2005
PDF: 11 pages
Proc. SPIE 5914, Wavelets XI, 591413 (17 September 2005); doi: 10.1117/12.616205
Show Author Affiliations
Lexing Ying, Caltech (United States)
Laurent Demanet, Caltech (United States)
Emmanuel Candes, Caltech (United States)


Published in SPIE Proceedings Vol. 5914:
Wavelets XI
Manos Papadakis; Andrew F. Laine; Michael A. Unser, Editor(s)

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