Curvelets, multiresolution representation, and scaling laws

被引：763

作者：

Candes, EJ ^{[1
]}

Donoho, DL ^{[1
]}

机构：

[1] Stanford Univ, Dept Stat, Stanford, CA 94305 USA

来源：

WAVELET APPLICATIONS IN SIGNAL AND IMAGE PROCESSING VIII PTS 1 AND 2 | 2000年 / 4119卷

关键词：

edges; partitioning; subband filtering; local Fourier transform; ridge functions; ridgelets; multiscale ridgelets; pyramids;

D O I：

10.1117/12.408568

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Curvelets provide a new multiresolution representation with several features that set them apart from existing representations such as wavelets, multiwavelets, steerable pyramids, and so on. They are based on an anisotropic notion of scaling. The frame elements exhibit very high direction sensitivity and are highly anisotropic. In this paper we describe these properties and indicate why they may be important for both theory and applications.

引用

页码：1 / 12

页数：12

共 15 条

[1]

ALPERT B, 1993, SIAM J SCI COMPUT

[2] THE LAPLACIAN PYRAMID AS A COMPACT IMAGE CODE [J].

BURT, PJ ;

ADELSON, EH .

IEEE TRANSACTIONS ON COMMUNICATIONS, 1983, 31 (04) :532-540

[3]

CANDES E, 2000, RECOVERING EDGES ILL

[4]

CANDES E, 1999, IN PRESS CURVES SURF

[5]

Candes E. J., 1999, PHIL T R SOC LOND A

[6] Harmonic analysis of neural networks [J].

Candès, EJ .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 1999, 6 (02) :197-218

[7]

CANDES EJ, UNPUB CURVELETS

[8]

Donoho D., 1998, ANN STAT

[9]

DONOHO DL, 1998, UNPUB ORTHONORMAL RI

[10]

LEMARIE PG, 1986, REV MAT IBEROAMERICA

← 1 2 →