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Proceedings Paper

Continuous and discrete wavelet x-ray transform
Author(s): Robertus A. Zuidwijk
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Paper Abstract

Combined use of the X-ray (Radon) transform and the wavelet transform has proved to be useful in application areas such as diagnostic medicine and seismology. In the present paper, the wavelet X-ray transform is introduced. This transform performs 1D wavelet transforms along line in Rn, which are parameterized in the same fashion as for the X-ray transform. It is shown that the transform has the same convenient inversion properties as the wavelet transform. The reconstruction formula receives further attention in order to obtain usable discretizations of the transform. Finally, a connection between the wavelet X-ray transform and the filtered backprojection formula is discussed.

Paper Details

Date Published: 30 October 1997
PDF: 10 pages
Proc. SPIE 3169, Wavelet Applications in Signal and Image Processing V, (30 October 1997); doi: 10.1117/12.279696
Show Author Affiliations
Robertus A. Zuidwijk, Ctr. for Mathematics and Computer Science (Netherlands)

Published in SPIE Proceedings Vol. 3169:
Wavelet Applications in Signal and Image Processing V
Akram Aldroubi; Andrew F. Laine; Michael A. Unser, Editor(s)

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