Cone-beam x-ray tomography using continuous wavelet transformation

Shiying Zhao; Ge Wang

doi:10.1117/12.408655

4 December 2000 Cone-beam x-ray tomography using continuous wavelet transformation

Shiying Zhao, Ge Wang

Author Affiliations +

Proceedings Volume 4119, Wavelet Applications in Signal and Image Processing VIII; (2000) https://doi.org/10.1117/12.408655
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

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.

Citation Download Citation

Shiying Zhao and Ge Wang "Cone-beam x-ray tomography using continuous wavelet transformation", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); https://doi.org/10.1117/12.408655

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KEYWORDS

Reconstruction algorithms

Wavelets

Error analysis

X-rays

Algorithm development

Sensors

Wavelet transforms

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