曲波变换matlab,curvelab 曲波变换原理.pdf

曲波变换matlab,curvelab 曲波变换原理.pdf

curvelab 曲波变换原理

CurveLab Toolbox, Version 2.0

Emmanuel Cand`es, Laurent Demanet, Lexing Ying

Applied and Computational Mathematics

California Institute of Technology, Pasadena CA 91125

1 Introduction

CurveLab is a collection of Matlab and C++ programs for the Fast Discrete Curvelet

Transform in two and three dimensions.

For the 2d curvelet transform, the software package includes two distinct implementations:

the wrapping-based transform and the transform using unequally-spaced fast Fourier trans-

form (USFFT). Both variants are based on the Curvelet transform as described in ‘New

Tight Frames of Curvelets and Optimal Representations of Objects with Piecewise C2 Sin-

gularities’, Comm. Pure Appl. Math. 57 (2004) 219-266. The implementation is also

discussed in detail in the Technical Report “Fast Discrete Curvelet Transforms