论文信息 - Exact and Fast Inversion of the Approximate Discrete Radon Transform - 字舞流文

Exact and Fast Inversion of the Approximate Discrete Radon Transform

We give an exact inversion formula for the approximate discrete Radon transform introduced in [Brady, SIAM J. Comput., 27(1), 107--119] that is of cost $O(N \log N)$ for a square 2D image with N pixels.

[1] William H Press,et al. Discrete Radon transform has an exact, fast inverse and generalizes to operations other than sums along lines , 2006, Proceedings of the National Academy of Sciences.

[2] Martin L. Brady,et al. A Fast Discrete Approximation Algorithm for the Radon Transform , 1998, SIAM J. Comput..

[3] W. A. Götz,et al. A fast digital Radon transform--An efficient means for evaluating the Hough transform , 1995, Pattern Recognit..

[4] S. Helgason. Integral Geometry and Radon Transforms , 2010 .

[5] F. Natterer. The Mathematics of Computerized Tomography , 1986 .

[6] Donsub Rim,et al. Dimensional Splitting of Hyperbolic Partial Differential Equations Using the Radon Transform , 2017, SIAM J. Sci. Comput..