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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 4, Iss. 8 — Apr. 12, 1999
  • pp: 241–246

Optical image reconstruction based on the third-order diffusion equations

Huabei Jiang  »View Author Affiliations

Optics Express, Vol. 4, Issue 8, pp. 241-246 (1999)

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This paper presents a third-order diffusion equations-based optical image reconstruction algorithm. The algorithm has been implemented using finite element discretizations coupled with a hybrid regularization that combines both Marquardt and Tikhonov schemes. Numerical examples are used to compare between the third- and first-order reconstructions. The results show that the third-order reconstruction codes are more stable than the first-order codes, and are capable of reconstructing void-like regions. From the examples given, it has also been shown that the first-order codes fail to both qualitatively and quantitatively reconstruct the void-like regions.

© Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(110.6960) Imaging systems : Tomography
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3660) Medical optics and biotechnology : Light propagation in tissues

ToC Category:
Focus Issue: Biomedical diffuse optical tomography

Original Manuscript: March 1, 1999
Published: April 12, 1999

Huabei Jiang, "Optical image reconstruction based on the third-order diffusion equations," Opt. Express 4, 241-246 (1999)

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