A wavelet phase filter for emission tomography

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Description

The presence of a high level of noise is a characteristic in some tomographic imaging techniques such as positron emission tomography (PET). Wavelet methods can smooth out noise while preserving significant features of images. Mallat et al. proposed a wavelet based denoising scheme exploiting wavelet modulus maxima, but the scheme is sensitive to noise. In this study, the authors explore the properties of wavelet phase, with a focus on reconstruction of emission tomography images. Specifically, they show that the wavelet phase of regular Poisson noise under a Haar-type wavelet transform converges in distribution to a random variable uniformly distributed on ... continued below

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11 p.

Creation Information

Olsen, E.T. & Lin, B. July 1, 1995.

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  • Olsen, E.T.
  • Lin, B. Illinois Inst. of Tech., Chicago, IL (United States). Dept. of Mathematics

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Description

The presence of a high level of noise is a characteristic in some tomographic imaging techniques such as positron emission tomography (PET). Wavelet methods can smooth out noise while preserving significant features of images. Mallat et al. proposed a wavelet based denoising scheme exploiting wavelet modulus maxima, but the scheme is sensitive to noise. In this study, the authors explore the properties of wavelet phase, with a focus on reconstruction of emission tomography images. Specifically, they show that the wavelet phase of regular Poisson noise under a Haar-type wavelet transform converges in distribution to a random variable uniformly distributed on [0, 2{pi}). They then propose three wavelet-phase-based denoising schemes which exploit this property: edge tracking, local phase variance thresholding, and scale phase variation thresholding. Some numerical results are also presented. The numerical experiments indicate that wavelet phase techniques show promise for wavelet based denoising methods.

Physical Description

11 p.

Notes

INIS; OSTI as DE95013668

Source

  • SPIE international symposium on aerospace/defense sensing and dual-use photonics, Orlando, FL (United States), 17-21 Apr 1995

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  • Other: DE95013668
  • Report No.: ANL/MCS/CP--85724
  • Report No.: CONF-950472--17
  • Grant Number: W-31109-ENG-38
  • DOI: 10.2172/95206 | External Link
  • Office of Scientific & Technical Information Report Number: 95206
  • Archival Resource Key: ark:/67531/metadc794263

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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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Creation Date

  • July 1, 1995

Added to The UNT Digital Library

  • Dec. 19, 2015, 7:14 p.m.

Description Last Updated

  • June 24, 2016, 1:58 p.m.

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Olsen, E.T. & Lin, B. A wavelet phase filter for emission tomography, report, July 1, 1995; Illinois. (digital.library.unt.edu/ark:/67531/metadc794263/: accessed September 26, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.