基于小波变换的Radon变换反演

摘要

采用小波取样定理和共轭正交小波变换两种方法进行了Radon变换的反演计算，并对不光滑函数的反演计算进行了深入讨论。理论和实例证明，基于小波变换的Radon变换反演算法便于计算并能高精度重构原信号。%The wavelet theory is used for the analysis of inversion of Radon transform. In this paper, the theory of Sampling theorem by wavelet and the theory of conjugate orthogonal wavelet transform are studied in the calculation of inversion problem of Radon transform, and more accurate results are obtained.