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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 7, Iss. 13 — Dec. 18, 2000
  • pp: 481–491

A shape-based reconstruction technique for DPDW data

Misha E. Kilmer, Eric L. Miller, David Boas, and Dana Brooks  »View Author Affiliations

Optics Express, Vol. 7, Issue 13, pp. 481-491 (2000)

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We give an approach for directly localizing and characterizing the properties of a compactly supported absorption coefficient perturbation as well as coarse scale structure of the background medium from a sparsely sampled, diffuse photon density wavefield. Our technique handles the problems of localization and characterization simultaneously by working directly with the data, unlike traditional techniques that require two stages. We model the unknowns as a superposition of a slowly varying perturbation on a background of unknown structure. Our model assumes that the anomaly is delineated from the background by a smooth perimeter which is modeled as a spline curve comprised of unknown control points. The algorithm proceeds by making small perturbations to the curve which are locally optimal. The result is a global, greedy-type optimization approach designed to enforce consistency with the data while requiring the solution to adhere to prior information we have concerning the likely structure of the anomaly. At each step, the algorithm adaptively determines the optimal weighting coefficients describing the characteristics of both the anomaly and the background. The success of our approach is illustrated in two simulation examples provided for a diffuse photon density wave problem arising in a bio-imaging application.

© Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.5270) Medical optics and biotechnology : Photon density waves
(170.6960) Medical optics and biotechnology : Tomography

ToC Category:
Focus Issue: Diffuse optical tomography

Original Manuscript: October 27, 2000
Published: December 18, 2000

Misha Kilmer, Eric Miller, David Boas, and Dana Brooks, "A shape-based reconstruction technique for DPDW data," Opt. Express 7, 481-491 (2000)

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