3D curvelet transforms and astronomical data restoration

被引：18

作者：

Woiselle, A. ^{[1
,2
]}

Starck, J-L ^{[1
]}

Fadili, J. ^{[3
]}

机构：

[1] Univ Paris Diderot, Ctr Saclay, CEA,UMR 7158, IRFU,SEDI,SAP,CNRS,DSM,Lab Astrophys Interact Mul, F-91191 Gif Sur Yvette, France

[2] Sagem Def Secur, F-95101 Argenteuil, France

[3] ENSICAEN, CNRS, GREYC, UMR 6072,Image Proc Grp, F-14050 Caen, France

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2010年 / 28卷 / 02期

关键词：

3D transform; Curvelet; Wavelet; Multi-resolution representations; Astrophysics; Galaxy distribution; FALSE-DISCOVERY RATE; N-BODY SIMULATIONS; BIVARIATE SHRINKAGE; RIDGELETS; WAVELETS; CODE;

D O I：

10.1016/j.acha.2009.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper describes two new 3D curvelet decompositions, which are built in a way similar to the first generation of curvelets (Starck et al., 2002 [35]). The first one, called BeamCurvelet transform, is well designed for representing ID filaments in a 3D space, while the second one, the RidCurvelet transform, is designed to analyze 2D surfaces. We show that these constructions can be useful for different applications such as filament detection, denoising or inpainting. Hence, they could lead to alternative approaches for analyzing 3D cosmological data sets, such as catalogs of galaxies, lambda CDM simulation or weak lensing data. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：171 / 188

页数：18

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