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Inverse radon transform with one-dimensional wavelet transform

Inverse radon transform with one-dimensional wavelet transform In this paper, the wavelet inverse formula of Radon transform is obtained with one-dimensional wavelet. The convolution back-projection method of Radon transform is derived from this inverse formula. An asymptotic relation between wavelet inverse formula of Radon transform and convolution-back projection algorithm of Radon transform in 2 dimensions is established. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Inverse radon transform with one-dimensional wavelet transform

Acta Mathematicae Applicatae Sinica , Volume 16 (1) – Jul 7, 2007

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2000 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02670966
Publisher site
See Article on Publisher Site

Abstract

In this paper, the wavelet inverse formula of Radon transform is obtained with one-dimensional wavelet. The convolution back-projection method of Radon transform is derived from this inverse formula. An asymptotic relation between wavelet inverse formula of Radon transform and convolution-back projection algorithm of Radon transform in 2 dimensions is established.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 7, 2007

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