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Proceedings Paper

Singular value decomposition of pinhole SPECT systems
Author(s): Robin Palit; Matthew A. Kupinski; Harrison H. Barrett; Eric W. Clarkson; John N. Aarsvold; Lana Volokh; Yariv Grobshtein
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Paper Abstract

A single photon emission computed tomography (SPECT) imaging system can be modeled by a linear operator H that maps from object space to detector pixels in image space. The singular vectors and singular-value spectra of H provide useful tools for assessing system performance. The number of voxels used to discretize object space and the number of collection angles and pixels used to measure image space make the matrix dimensions H large. As a result, H must be stored sparsely which renders several conventional singular value decomposition (SVD) methods impractical. We used an iterative power methods SVD algorithm (Lanczos) designed to operate on very large sparsely stored matrices to calculate the singular vectors and singular-value spectra for two small animal pinhole SPECT imaging systems: FastSPECT II and M3R. The FastSPECT II system consisted of two rings of eight scintillation cameras each. The resulting dimensions of H were 68921 voxels by 97344 detector pixels. The M3R system is a four camera system that was reconfigured to measure image space using a single scintillation camera. The resulting dimensions of H were 50864 voxels by 6241 detector pixels. In this paper we present results of the SVD of each system and discuss calculation of the measurement and null space for each system.

Paper Details

Date Published: 12 March 2009
PDF: 9 pages
Proc. SPIE 7263, Medical Imaging 2009: Image Perception, Observer Performance, and Technology Assessment, 72631U (12 March 2009); doi: 10.1117/12.813799
Show Author Affiliations
Robin Palit, College of Optical Sciences, The Univ. of Arizona (United States)
Matthew A. Kupinski, College of Optical Sciences, The Univ. of Arizona (United States)
The Univ. of Arizona (United States)
Harrison H. Barrett, College of Optical Sciences, The Univ. of Arizona (United States)
The Univ. of Arizona (United States)
Eric W. Clarkson, College of Optical Sciences, The Univ. of Arizona (United States)
The Univ. of Arizona (United States)
John N. Aarsvold, Emory Univ. (United States)
Lana Volokh, GE Healthcare (Israel)
Yariv Grobshtein, GE Healthcare (Israel)


Published in SPIE Proceedings Vol. 7263:
Medical Imaging 2009: Image Perception, Observer Performance, and Technology Assessment
Berkman Sahiner; David J. Manning, Editor(s)

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