Inversion algorithm for the discrete periodic Radon transform and application on image restoration

Tak Wai Shen, Tai Chiu Hsung, Pak Kong Lun

Research output: Journal article publicationConference articleAcademic researchpeer-review

3 Citations (Scopus)

Abstract

The discrete periodic Radon transform (DPRT), which was proposed recently, has been shown to have many useful properties that enable a 2-D signal to be processed by some 1-D approaches. In this paper, the application of the DPRT in image restoration is studied. It is based on the fact that the phase information of an image is preserved when it is transformed by the DPRT. As the phase information is also not distorted by some types of blurring, we can make use of the transformed phase information of the blurred image to perform the restoration. The advantage of using the DPRT is that we can reduce the original 2-D restoration problem to become some 1-D ones, then, we make use of the convolution property of the DPRT to impose further constraints on the restoration process to increase the rate of convergence. The transformed image is then reconstructed using the inverse DPRT algorithm. We further propose in this paper a new inverse DPRT algorithm. The new algorithm collects the redundancy in the previous inverse DPRT algorithm and represents them by a filtering operation. It is then embedded into the restoration process such that it needs not be actually performed. As a result, the proposed approach reduces the iteration time by more than 50% as compared with the traditional approach to restore an image with the same quality.
Original languageEnglish
Pages (from-to)2665-2668
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Volume4
Publication statusPublished - 1 Jan 1997
EventProceedings of the 1997 IEEE International Symposium on Circuits and Systems, ISCAS'97. Part 4 (of 4) - Hong Kong, Hong Kong
Duration: 9 Jun 199712 Jun 1997

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

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