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Title: Exact Reconstruction From Uniformly Attenuated Helical Cone-Beam Projections in SPECT

Abstract

In recent years the development of cone-beam reconstruction algorithms has been an active research area in x-ray computed tomography (CT), and significant progress has been made in the advancement of algorithms. Theoretically exact and computationally efficient analytical algorithms can be found in the literature. However, in single photon emission computed tomography (SPECT), published cone-beam reconstruction algorithms are either approximate or involve iterative methods. The SPECT reconstruction problem is more complicated due to degradations in the imaging detection process, one of which is the effect of attenuation of gamma ray photons. Attenuation should be compensated for to obtain quantitative results. In this paper, an analytical reconstruction algorithm for uniformly attenuated cone-beam projection data is presented for SPECT imaging. The algorithm adopts the DBH method, a procedure consisting of differentiation and backprojection followed by a finite inverse cosh-weighted Hilbert transform. The significance of the proposed approach is that a selected region of interest can be reconstructed even with a detector with a reduced field of view. The algorithm is designed for a general trajectory. However, to validate the algorithm, a numerical study was performed using a helical trajectory. The implementation is efficient and the simulation result is promising.

Authors:
; ; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
Life Sciences Division
OSTI Identifier:
945943
Report Number(s):
LBNL-1359E
TRN: US0901258
DOE Contract Number:  
DE-AC02-05CH11231
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
62; ALGORITHMS; ATTENUATION; COMPUTERIZED TOMOGRAPHY; DETECTION; IMPLEMENTATION; ITERATIVE METHODS; PHOTONS; SIMULATION; SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY; cone-beam, SPECT, attenuation correction

Citation Formats

Gullberg, Grant T, Huang, Qiu, You, Jiangsheng, and Zeng, Gengsheng L. Exact Reconstruction From Uniformly Attenuated Helical Cone-Beam Projections in SPECT. United States: N. p., 2008. Web. doi:10.2172/945943.
Gullberg, Grant T, Huang, Qiu, You, Jiangsheng, & Zeng, Gengsheng L. Exact Reconstruction From Uniformly Attenuated Helical Cone-Beam Projections in SPECT. United States. https://doi.org/10.2172/945943
Gullberg, Grant T, Huang, Qiu, You, Jiangsheng, and Zeng, Gengsheng L. 2008. "Exact Reconstruction From Uniformly Attenuated Helical Cone-Beam Projections in SPECT". United States. https://doi.org/10.2172/945943. https://www.osti.gov/servlets/purl/945943.
@article{osti_945943,
title = {Exact Reconstruction From Uniformly Attenuated Helical Cone-Beam Projections in SPECT},
author = {Gullberg, Grant T and Huang, Qiu and You, Jiangsheng and Zeng, Gengsheng L},
abstractNote = {In recent years the development of cone-beam reconstruction algorithms has been an active research area in x-ray computed tomography (CT), and significant progress has been made in the advancement of algorithms. Theoretically exact and computationally efficient analytical algorithms can be found in the literature. However, in single photon emission computed tomography (SPECT), published cone-beam reconstruction algorithms are either approximate or involve iterative methods. The SPECT reconstruction problem is more complicated due to degradations in the imaging detection process, one of which is the effect of attenuation of gamma ray photons. Attenuation should be compensated for to obtain quantitative results. In this paper, an analytical reconstruction algorithm for uniformly attenuated cone-beam projection data is presented for SPECT imaging. The algorithm adopts the DBH method, a procedure consisting of differentiation and backprojection followed by a finite inverse cosh-weighted Hilbert transform. The significance of the proposed approach is that a selected region of interest can be reconstructed even with a detector with a reduced field of view. The algorithm is designed for a general trajectory. However, to validate the algorithm, a numerical study was performed using a helical trajectory. The implementation is efficient and the simulation result is promising.},
doi = {10.2172/945943},
url = {https://www.osti.gov/biblio/945943}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Dec 18 00:00:00 EST 2008},
month = {Thu Dec 18 00:00:00 EST 2008}
}