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 Citation (Scopus)

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 publicationProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume7263
DOIs
StatePublished - 2009
EventMedical Imaging 2009: Image Perception, Observer Performance, and Technology Assessment - Lake Buena Vista, FL, United States
Duration: Feb 11 2009Feb 12 2009

Other

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

Fingerprint

Single photon emission computed tomography
Gamma Cameras
pinholes
Singular value decomposition
Single-Photon Emission-Computed Tomography
tomography
Pixels
decomposition
Cameras
photons
Scintillation
Detectors
pixels
Imaging systems
cameras
scintillation
detectors
linear operators
Animals
matrices

Keywords

  • Lanczos
  • Singular value decomposition
  • Sparse matrix
  • SPECT

ASJC Scopus subject areas

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

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 Progress in Biomedical Optics and Imaging - Proceedings of SPIE (Vol. 7263). [72631U] https://doi.org/10.1117/12.813799

Singular value decomposition of pinhole SPECT systems. / Palit, Robin; Kupinski, Matthew A; Barrett, Harrison H; Clarkson, Eric W; Aarsvold, John N.; Volokh, Lana; Grobshtein, Yariv.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 7263 2009. 72631U.

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

Palit, R, Kupinski, MA, Barrett, HH, Clarkson, EW, Aarsvold, JN, Volokh, L & Grobshtein, Y 2009, Singular value decomposition of pinhole SPECT systems. in Progress in Biomedical Optics and Imaging - Proceedings of SPIE. vol. 7263, 72631U, Medical Imaging 2009: Image Perception, Observer Performance, and Technology Assessment, Lake Buena Vista, FL, United States, 2/11/09. https://doi.org/10.1117/12.813799
Palit R, Kupinski MA, Barrett HH, Clarkson EW, Aarsvold JN, Volokh L et al. Singular value decomposition of pinhole SPECT systems. In Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 7263. 2009. 72631U https://doi.org/10.1117/12.813799
Palit, Robin ; Kupinski, Matthew A ; Barrett, Harrison H ; Clarkson, Eric W ; Aarsvold, John N. ; Volokh, Lana ; Grobshtein, Yariv. / Singular value decomposition of pinhole SPECT systems. Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 7263 2009.
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