Multiresolution total least squares reconstruction algorithm based on wavelet in medical optical tomography

Wenwu Zhu, Yao Wang, Jun Zhang

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

Abstract

In this paper, we present a wavelet based multiresolution total least squares (TLS) approach to solve the perturbation equation encountered in medical optical tomography. With this scheme, the unknown image, the data, as well as the weight matrix are all represented by wavelet expansions, and thus yielding a multi-resolution representation of the original Rayleigh quotient function in the wavelet domain. This transformed Rayleigh quotient function is then minimized using a multigrid scheme, by which an increasing portion of wavelet coefficients of the unknown image are solved in successive approximations. One can also quickly identify regions of interest (ROI) from a coarse level reconstruction and restrict the reconstruction in the following fine resolutions to those regions. At each resolution level, a TLS solution is obtained iteratively using a conjugate gradient (CG) method. Compared to a previously reported one grid iterative TLS algorithm, the multigrid method requires substantially shorter computation time under the same reconstruction quality criterion.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Pages1240-1251
Number of pages12
Edition3/-
StatePublished - 1996
EventVisual Communications and Image Processing'96. Part 2 (of 3) - Orlando, FL, USA
Duration: Mar 17 1996Mar 20 1996

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Number3/-
Volume2727
ISSN (Print)0277-786X

Other

OtherVisual Communications and Image Processing'96. Part 2 (of 3)
CityOrlando, FL, USA
Period3/17/963/20/96

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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