The discrete periodic radon transform

Taichiu Hsung, Pak Kong Lun, Wan Chi Siu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

50 Citations (Scopus)

Abstract

In this correspondence a discrete periodic Radon transform and its inversion are developed. The new discrete periodic Radon transform possesses many properties similar to the continuous Radon transform such as the Fourier slice theorem and the convolution property etc. With the convolution property a 2-D circular convolution can be decomposed into 1-D circular convolutions hence improving the computational efficiency. Based on the proposed discrete periodic Kadon transform we further develop the inversion formula using the discrete Fourier slice theorem. It is interesting to note that the inverse transform is multiplication free. This important characteristic not only enables fast inversion hut also eliminates the finite-word-length error that may be generated in performing the multiplications.
Original languageEnglish
Pages (from-to)2651-2657
Number of pages7
JournalIEEE Transactions on Signal Processing
Volume44
Issue number10
DOIs
Publication statusPublished - 1 Dec 1996

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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