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Title: A cone-beam reconstruction algorithm using shift-variant filtering and cone-beam backprojection

Abstract

An exact inversion formula written in the form of shift-variant filtered-backprojection (FBP) is given for reconstruction from cone-beam data taken from any orbit satisfying Tuy's sufficiency conditions. The method is based on a result of Grangeat, involving the derivative of the three-dimensional (3-D) Radon transform, but unlike Grangeat's algorithm, no 3D rebinning step is required. Data redundancy, which occurs when several cone-beam projections supply the same values in the Radon domain, is handled using an elegant weighting function and without discarding data. The algorithm is expressed in a convenient cone-beam detector reference frame, and a specific example for the case of a dual orthogonal circular orbit is presented. When the method is applied to a single circular orbit, it is shown to be equivalent to the well-known algorithm of Feldkamp et al.

Authors:
 [1];  [2]
  1. (University Hospital, Brussels (Belgium). Div. of Nuclear Medicine)
  2. (Univ. of Utah, Salt Lake City, UT (United States). Dept. of Radiology)
Publication Date:
OSTI Identifier:
7242922
Resource Type:
Journal Article
Journal Name:
IEEE Transactions on Medical Imaging (Institute of Electrical and Electronics Engineers); (United States)
Additional Journal Information:
Journal Volume: 13:1; Journal ID: ISSN 0278-0062
Country of Publication:
United States
Language:
English
Subject:
62 RADIOLOGY AND NUCLEAR MEDICINE; SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY; ALGORITHMS; ACCURACY; DATA COVARIANCES; IMAGE PROCESSING; COMPUTERIZED TOMOGRAPHY; DIAGNOSTIC TECHNIQUES; EMISSION COMPUTED TOMOGRAPHY; MATHEMATICAL LOGIC; PROCESSING; TOMOGRAPHY; 550601* - Medicine- Unsealed Radionuclides in Diagnostics

Citation Formats

Defrise, M., and Clack, R. A cone-beam reconstruction algorithm using shift-variant filtering and cone-beam backprojection. United States: N. p., 1994. Web. doi:10.1109/42.276157.
Defrise, M., & Clack, R. A cone-beam reconstruction algorithm using shift-variant filtering and cone-beam backprojection. United States. doi:10.1109/42.276157.
Defrise, M., and Clack, R. Tue . "A cone-beam reconstruction algorithm using shift-variant filtering and cone-beam backprojection". United States. doi:10.1109/42.276157.
@article{osti_7242922,
title = {A cone-beam reconstruction algorithm using shift-variant filtering and cone-beam backprojection},
author = {Defrise, M. and Clack, R.},
abstractNote = {An exact inversion formula written in the form of shift-variant filtered-backprojection (FBP) is given for reconstruction from cone-beam data taken from any orbit satisfying Tuy's sufficiency conditions. The method is based on a result of Grangeat, involving the derivative of the three-dimensional (3-D) Radon transform, but unlike Grangeat's algorithm, no 3D rebinning step is required. Data redundancy, which occurs when several cone-beam projections supply the same values in the Radon domain, is handled using an elegant weighting function and without discarding data. The algorithm is expressed in a convenient cone-beam detector reference frame, and a specific example for the case of a dual orthogonal circular orbit is presented. When the method is applied to a single circular orbit, it is shown to be equivalent to the well-known algorithm of Feldkamp et al.},
doi = {10.1109/42.276157},
journal = {IEEE Transactions on Medical Imaging (Institute of Electrical and Electronics Engineers); (United States)},
issn = {0278-0062},
number = ,
volume = 13:1,
place = {United States},
year = {1994},
month = {3}
}