Title :
Reply to “Comments on ‘The Discrete Periodic Radon Transform’”
Author :
Hsung, Tai-Chiu ; Lun, Daniel P.K. ; Siu, Wan-chi
Author_Institution :
Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., Hong Kong, China
Abstract :
This paper presents the reply for the comment made on "The Discrete Periodic Radon Transform" by A. M. Grigoryan. This comment presents a series of paper about tensor and paired transform as applied to the fast realization of two-dimensional discrete Fourier transform. The reply indicates that the claim made by A.M Grigoryan was incorrect. The contributions of T. Hsung and D. P. K. Lun are far more than that described by A.M Grigoryan.The DPRT is not only a forward transform for computing 2-D DFT. It is a complete discrete transformation method that includes efficient inverse transform.
Keywords :
Radon transforms; discrete Fourier transforms; tensors; 2-D DFT computing; discrete periodic radon transform; discrete transformation method; forward transform; inverse transform; tensor; two-dimensional discrete Fourier transform; Computational efficiency; Discrete Fourier transforms; Discrete transforms; Fast Fourier transforms; Field-flow fractionation; Image segmentation; Signal processing;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2010.2059021
