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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 3 — Mar. 1, 2007
  • pp: 626–642

Statistically principled use of in-line measurements in intensity diffraction tomography

Yin Huang and Mark A. Anastasio  »View Author Affiliations


JOSA A, Vol. 24, Issue 3, pp. 626-642 (2007)
http://dx.doi.org/10.1364/JOSAA.24.000626


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Abstract

Intensity diffraction tomography (I-DT) reconstruction theory provides a mathematical mapping between two in-line intensity measurements acquired at a given tomographic view angle and Fourier components of the object function. Poles in this mapping will cause certain Fourier components to contain greatly amplified noise levels when applied to noisy measurement data, which can result in noisy and distorted images in practice. We investigate the statistically principled use of multiple in-line intensity measurements in I-DT. Reconstruction methods are developed that exploit the statistical structure of the in-line measurements to minimize the variance of the estimated Fourier components of the object function.

© 2007 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(110.6960) Imaging systems : Tomography
(290.3200) Scattering : Inverse scattering

ToC Category:
Imaging Systems

History
Original Manuscript: April 27, 2006
Revised Manuscript: August 2, 2006
Manuscript Accepted: August 5, 2006
Published: February 14, 2007

Citation
Yin Huang and Mark A. Anastasio, "Statistically principled use of in-line measurements in intensity diffraction tomography," J. Opt. Soc. Am. A 24, 626-642 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-3-626

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