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Proceedings Paper

Cone-beam x-ray tomography using continuous wavelet transformation
Author(s): Shiying Zhao; Ge Wang
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Paper Abstract

Recently, medical computed tomography (CT) began a transition from fan-beam to cone-beam geometry with the introduction of multi-row-detector systems. Therefore, cone- beam techniques become important for medical CT. Despite recent advances, the approximate reconstruction method of Feldkamp remains the most commonly employed cone-beam reconstruction algorithm because of its computational efficiency and clinical applicability. Unfortunately, the derivation of the Feldkamp cone-beam reconstruction formula is based on geometric tilted fan neuristic. In this paper, we given a wavelet derivation of the Feldkamp cone-beam reconstruction method. It is found that the Feldkamp algorithm is an outcome of a zero-order approximation to the longitudinal wavelet decomposition of the object function to be reconstructed. Since the approximation is explicitly given, error estimates can be derived analytically. Theoretically, it also arises the possibility of improvement of the Feldkamp cone-beam algorithm.

Paper Details

Date Published: 4 December 2000
PDF: 8 pages
Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); doi: 10.1117/12.408655
Show Author Affiliations
Shiying Zhao, Univ. of Missouri/St. Louis (United States)
Ge Wang, Univ. of Iowa (United States)


Published in SPIE Proceedings Vol. 4119:
Wavelet Applications in Signal and Image Processing VIII
Akram Aldroubi; Andrew F. Laine; Michael A. Unser, Editor(s)

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