投影图象重建和τ-p方法

PROJECTIVE IMAGE RECONSTRUCTION AND τ-P METHOD

复旦大学

本文对投影图象重建问题的历史和方法作了介绍,并对滤波反投影重建算法的基本原理作了初等解释,列出了精确的数学公式。在第三节中叙述了τ-p变换跟投影图象重建问题的一致性,并导出了两种τ-p反变换公式。最后在附录中给出了投影图象重建算法的详细数学推导。

Tn this paper, the brief history and the detail technique of the projective image reconstruction were introduced in the first place and then,the preliminary explanations about the principle of the algorithm of the filter inverse projective image reconstruction and the exact mathematical formulae were given. In section 3,the author lias pointed out that the τ-P transformation was in conformity with the projective image reconstruction in essence and two kinds of the τ-P inverse transformation formulae were derived. Finally, the detail mathematical derivation of the algorithm of the projective image reconstruction was given in the appendix.