Fast Feldkamp algorithm for cone-beam computer tomography

Shu Xiao, Yoram Bresler, David C. Munson

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

Abstract

We propose a new fast Feldkamp algorithm for 3-D cone beam tomography with a circular source trajectory. The algorithm is an extension of our recent fast native 2-D fan-beam reconstruction algorithm. It is based on a recursive hierarchical decomposition of the cone-beam backprojection operation into successively smaller sub-volumes. The algorithm reduces the computational complexity of the reconstruction from O(N 4) to O(N 3log N). Simulations demonstrate the efficiency of our algorithm, with 7-fold speedup for a 128 × 128 × 128 image. Speedups will be much greater for images of more typical size encountered in medicine.

Original languageEnglish (US)
Title of host publicationIEEE International Conference on Image Processing
Pages819-822
Number of pages4
Volume2
StatePublished - 2003
EventProceedings: 2003 International Conference on Image Processing, ICIP-2003 - Barcelona, Spain
Duration: Sep 14 2003Sep 17 2003

Other

OtherProceedings: 2003 International Conference on Image Processing, ICIP-2003
Country/TerritorySpain
CityBarcelona
Period9/14/039/17/03

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

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