FBP algorithms for attenuated fan-beam projections

Jiangsheng You; Gengsheng L. Zeng; Zhengrong Liang

doi:10.1088/0266-5611/21/3/023

FBP algorithms for attenuated fan-beam projections

Jiangsheng You
, Gengsheng L. Zeng
, Zhengrong Liang

Radiology

Stony Brook University
Viisage Technology Inc.
University of Utah

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

A filtered backprojection (FBP) reconstruction algorithm for attenuated fan-beam projections has been derived based on Novikov's inversion formula. The derivation uses a common transformation between parallel-beam and fan-beam coordinates. The filtering is shift-invariant. Numerical evaluation of the FBP algorithm is presented. As a special application, we also present a shift-invariant FBP algorithm for fan-beam data reconstruction with uniform attenuation compensation. Several other fan-beam data reconstruction algorithms are discussed. In the attenuation-free case, our algorithm reduces to the conventional fan-beam FBP algorithm.

Original language	English
Pages (from-to)	1179-1192
Number of pages	14
Journal	Inverse Problems
Volume	21
Issue number	3
DOIs	https://doi.org/10.1088/0266-5611/21/3/023
State	Published - Jun 1 2005

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title = "FBP algorithms for attenuated fan-beam projections",

abstract = "A filtered backprojection (FBP) reconstruction algorithm for attenuated fan-beam projections has been derived based on Novikov's inversion formula. The derivation uses a common transformation between parallel-beam and fan-beam coordinates. The filtering is shift-invariant. Numerical evaluation of the FBP algorithm is presented. As a special application, we also present a shift-invariant FBP algorithm for fan-beam data reconstruction with uniform attenuation compensation. Several other fan-beam data reconstruction algorithms are discussed. In the attenuation-free case, our algorithm reduces to the conventional fan-beam FBP algorithm.",

author = "Jiangsheng You and Zeng, \{Gengsheng L.\} and Zhengrong Liang",

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AU - You, Jiangsheng

AU - Zeng, Gengsheng L.

AU - Liang, Zhengrong

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N2 - A filtered backprojection (FBP) reconstruction algorithm for attenuated fan-beam projections has been derived based on Novikov's inversion formula. The derivation uses a common transformation between parallel-beam and fan-beam coordinates. The filtering is shift-invariant. Numerical evaluation of the FBP algorithm is presented. As a special application, we also present a shift-invariant FBP algorithm for fan-beam data reconstruction with uniform attenuation compensation. Several other fan-beam data reconstruction algorithms are discussed. In the attenuation-free case, our algorithm reduces to the conventional fan-beam FBP algorithm.

AB - A filtered backprojection (FBP) reconstruction algorithm for attenuated fan-beam projections has been derived based on Novikov's inversion formula. The derivation uses a common transformation between parallel-beam and fan-beam coordinates. The filtering is shift-invariant. Numerical evaluation of the FBP algorithm is presented. As a special application, we also present a shift-invariant FBP algorithm for fan-beam data reconstruction with uniform attenuation compensation. Several other fan-beam data reconstruction algorithms are discussed. In the attenuation-free case, our algorithm reduces to the conventional fan-beam FBP algorithm.

UR - https://www.scopus.com/pages/publications/18744394367

U2 - 10.1088/0266-5611/21/3/023

DO - 10.1088/0266-5611/21/3/023

M3 - Article

AN - SCOPUS:18744394367

SN - 0266-5611

VL - 21

SP - 1179

EP - 1192

JO - Inverse Problems

JF - Inverse Problems

IS - 3

ER -

FBP algorithms for attenuated fan-beam projections

Abstract

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