3D fast ridgelet transform

Author

Carré, Philippe ; Helbert, David ; Andres, Eric

Author_Institution

IRCOM-SIC Lab., Futuroscope, France

Volume

1

fYear

2003

fDate

14-17 Sept. 2003

Abstract

In this paper, we present a fast implementation of the 3D ridgelet transform based on discrete analytical 3D lines: the 3D discrete analytical ridgelet transform (DART). This transform uses the Fourier strategy (the projection-slice formula) for the computation of the associated discrete Radon transform. The innovative step of the DART is the construction of 3D discrete analytical lines in the Fourier domain, that allows a fast perfect backprojection. These discrete analytical lines have a parameter called arithmetical thickness, allowing us to define a DART adapted to a specific application. A denoising application is presented.

Keywords

Fourier transforms; Radon transforms; image denoising; image reconstruction; wavelet transforms; 3D discrete analytical line construction; 3D discrete analytical ridgelet transform; Fourier domain; arithmetical thickness; denoising application; discrete Radon transform; fast perfect backprojection; projection-slice formula; Discrete Fourier transforms; Discrete transforms; Discrete wavelet transforms; Fourier transforms; Interpolation; Laboratories; Lattices; Wavelet analysis; Wavelet domain; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 2003. ICIP 2003. Proceedings. 2003 International Conference on

ISSN

1522-4880

Print_ISBN

0-7803-7750-8

Type

conf

DOI

10.1109/ICIP.2003.1247139

Filename

1247139