Singular value decomposition of pinhole SPECT systems

Robin Palit, Matthew A. Kupinski, Harrison H. Barrett, Eric W. Clarkson, John N. Aarsvold, Lana Volokh, Yariv Grobshtein

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

1 Scopus citations

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.

Original languageEnglish (US)
Title of host publicationMedical Imaging 2009
Subtitle of host publicationImage Perception, Observer Performance, and Technology Assessment
DOIs
StatePublished - Jun 22 2009
EventMedical Imaging 2009: Image Perception, Observer Performance, and Technology Assessment - Lake Buena Vista, FL, United States
Duration: Feb 11 2009Feb 12 2009

Publication series

NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume7263
ISSN (Print)1605-7422

Other

OtherMedical Imaging 2009: Image Perception, Observer Performance, and Technology Assessment
CountryUnited States
CityLake Buena Vista, FL
Period2/11/092/12/09

Keywords

  • Lanczos
  • SPECT
  • Singular value decomposition
  • Sparse matrix

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Biomaterials
  • Atomic and Molecular Physics, and Optics
  • Radiology Nuclear Medicine and imaging

Fingerprint Dive into the research topics of 'Singular value decomposition of pinhole SPECT systems'. Together they form a unique fingerprint.

  • Cite this

    Palit, R., Kupinski, M. A., Barrett, H. H., Clarkson, E. W., Aarsvold, J. N., Volokh, L., & Grobshtein, Y. (2009). Singular value decomposition of pinhole SPECT systems. In Medical Imaging 2009: Image Perception, Observer Performance, and Technology Assessment [72631U] (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 7263). https://doi.org/10.1117/12.813799