TY - JOUR
T1 - Convolution-backprojection method for the k-plane transform, and calderón's identity for ridgelet transforms
AU - Rubin, Boris
PY - 2004/5
Y1 - 2004/5
N2 - We develop a convolution-backprojection method for the k-plane Radon transform f → f, f ∈ Lp (ℝ). A slight modification of this method gives an explicit inversion formula for f̂ in terms of the corresponding wavelet-like transforms (or the k-plane ridgelet transforms), and a generalization of Calderlón's reproducing formula.
AB - We develop a convolution-backprojection method for the k-plane Radon transform f → f, f ∈ Lp (ℝ). A slight modification of this method gives an explicit inversion formula for f̂ in terms of the corresponding wavelet-like transforms (or the k-plane ridgelet transforms), and a generalization of Calderlón's reproducing formula.
KW - Convolution-backprojection method
KW - K-plane Radon transform
KW - Ridgelet transforms
KW - Wavelet transforms
UR - https://www.scopus.com/pages/publications/2442507859
U2 - 10.1016/j.acha.2004.03.003
DO - 10.1016/j.acha.2004.03.003
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AN - SCOPUS:2442507859
SN - 1063-5203
VL - 16
SP - 231
EP - 242
JO - Applied and Computational Harmonic Analysis
JF - Applied and Computational Harmonic Analysis
IS - 3
ER -