扇束断层扫描中的多分辨率重建。

Multiresolution reconstruction in fan-beam tomography.

作者信息

Bonnet Stéphane, Peyrin Françoise, Turjman Francis, Prost Rémy

机构信息

CREATIS, CNRS, Villeurbanne.

出版信息

IEEE Trans Image Process. 2002;11(3):169-76. doi: 10.1109/83.988951.

DOI:10.1109/83.988951

PMID:18244621

Abstract

In this paper, a new multiresolution reconstruction approach for fan-beam tomography is established. The theoretical development assumes radial wavelets. An approximate reconstruction formula based on a near-radial quincunx multiresolution scheme is proposed. This multiresolution algorithm allows to compute both the quincunx approximation and detail coefficients of an image from its fan-beam projections. Simulations on mathematical phantoms show that wavelet decomposition is acceptable for small beam angles but deteriorates at high angles. The main applications of the method are denoising and wavelet-based image analysis.

摘要

本文建立了一种用于扇束断层扫描的新的多分辨率重建方法。理论推导基于径向小波。提出了一种基于近径向梅花形多分辨率方案的近似重建公式。这种多分辨率算法能够根据图像的扇束投影计算图像的梅花形近似系数和细节系数。对数学模型的模拟表明，小波分解对于小角度束是可以接受的，但在大角度时会变差。该方法的主要应用是去噪和基于小波的图像分析。