A lattice implementation of high-precision IIR filter for X-ray CT reconstruction

Kazuhisa Hayashi, Hiroshi Tsutsu, Yoshitaka Morikawa, Nobuo Funabiki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The authors previously proposed forward and backward one round (FBOR) method to accelerate the filtering process by realizing the discrete Hilbert transform (DHT) function using an IIR filter in the convolution backprojection (CB) method that is a typical reconstruction algorithm for the X-ray CT. The FBOR method cascades causal and anticausal allpass filters to realize the linear phase DHT, and implements them by parallel ladders of allpass filters. Unfortunately, this method has to adopt the DHT that has the brickwall transition at the zero frequency and thus, requires high sensitivity coefficients in order to reduce distortions of a reconstructed image. As a result, it needs to rely on double precision floating points to avoid cancellations of significant digits. In this paper, we propose a successive-scan one-round (SSOR) method of implementing the DHT by cascading primary lattice allpass filters that allows the use of single precision floating points. We confirm the effectiveness of our proposal through simulations.

Original languageEnglish
Title of host publicationInternational MultiConference of Engineers and Computer Scientists, IMECS 2012
PublisherNewswood Limited
Pages751-756
Number of pages6
ISBN (Print)9789881925114
Publication statusPublished - Jan 1 2012
Event2012 International MultiConference of Engineers and Computer Scientists, IMECS 2012 - Kowloon, Hong Kong
Duration: Mar 14 2012Mar 16 2012

Publication series

NameLecture Notes in Engineering and Computer Science
Volume2195
ISSN (Print)2078-0958

Other

Other2012 International MultiConference of Engineers and Computer Scientists, IMECS 2012
CountryHong Kong
CityKowloon
Period3/14/123/16/12

Keywords

  • Allpass filter
  • Computerized tomography (CT)
  • Hilbert transform
  • IIR filter
  • Lattice filter

ASJC Scopus subject areas

  • Computer Science (miscellaneous)

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  • Cite this

    Hayashi, K., Tsutsu, H., Morikawa, Y., & Funabiki, N. (2012). A lattice implementation of high-precision IIR filter for X-ray CT reconstruction. In International MultiConference of Engineers and Computer Scientists, IMECS 2012 (pp. 751-756). (Lecture Notes in Engineering and Computer Science; Vol. 2195). Newswood Limited.