Wavelet crosstalk matrix and its application to assessment of shift-variant imaging systems

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The objective assessment of image quality is essential for design of imaging systems. Barrett and Gifford [1] introduced the Fourier cross talk matrix. Because it is diagonal for continuous linear shift-invariant imaging systems, the Fourier cross talk matrix is a powerful technique for discrete imaging systems that are close to shift invariant. However, for a system that is intrinsically shift variant, Fourier techniques are not particularly effective. Because Fourier bases have no localization property, the shift-variance of the imaging system cannot be shown by the response of individual Fourier bases; rather, it is shown in the correlation between the Fourier ... continued below

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7 pages

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Qi, Jinyi & Huesman, Ronald H. November 1, 2002.

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The objective assessment of image quality is essential for design of imaging systems. Barrett and Gifford [1] introduced the Fourier cross talk matrix. Because it is diagonal for continuous linear shift-invariant imaging systems, the Fourier cross talk matrix is a powerful technique for discrete imaging systems that are close to shift invariant. However, for a system that is intrinsically shift variant, Fourier techniques are not particularly effective. Because Fourier bases have no localization property, the shift-variance of the imaging system cannot be shown by the response of individual Fourier bases; rather, it is shown in the correlation between the Fourier coefficients. This makes the analysis and optimization quite difficult. In this paper, we introduce a wavelet cross talk matrix based on wavelet series expansions. The wavelet cross talk matrix allows simultaneous study of the imaging system in both the frequency and spatial domains. Hence it is well suited for shift variant systems. We compared the wavelet cross talk matrix with the Fourier cross talk matrix for several simulated imaging systems, namely the interior and exterior tomography problems, limited angle tomography, and a rectangular geometry positron emission tomograph. The results demonstrate the advantages of the wavelet cross talk matrix in analyzing shift-variant imaging systems.

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7 pages

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INIS; OSTI as DE00816215

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  • IEEE Nuclear Science Symposium and Medical Imaging Conference, Norfolk, VA (US), 11/10/2002--11/16/2002

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  • Report No.: LBNL--51931
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 816215
  • Archival Resource Key: ark:/67531/metadc740537

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • November 1, 2002

Added to The UNT Digital Library

  • Oct. 18, 2015, 6:40 p.m.

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  • Oct. 4, 2017, 1:26 p.m.

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Qi, Jinyi & Huesman, Ronald H. Wavelet crosstalk matrix and its application to assessment of shift-variant imaging systems, article, November 1, 2002; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc740537/: accessed November 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.