Convolution-backprojection method for the k-plane transform, and Calderon's identity for ridgelet transforms

摘要

We develop a convolution-backprojection method for the k-plane Radon transform f→f, f ∈ L~P(R). A slight modification of this method gives an explicit inversion formula for f in terms of the corresponding wavelet-like transforms (or the k-plane ridgelet transforms), and a generalization of Calderon's reproducing formula.