## Computationally efficient and statistically robust image reconstruction in three-dimensional diffraction tomography

JOSA A, Vol. 17, Issue 3, pp. 391-400 (2000)

http://dx.doi.org/10.1364/JOSAA.17.000391

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### Abstract

Diffraction tomography (DT) is an inversion scheme used to reconstruct the spatially variant refractive-index distribution of a scattering object. We developed computationally efficient algorithms for image reconstruction in three-dimensional (3D) DT. A unique and important aspect of these algorithms is that they involve only a series of two-dimensional reconstructions and thus greatly reduce the prohibitively large computational load required by conventional 3D reconstruction algorithms. We also investigated the noise characteristics of these algorithms and developed strategies that exploit the statistically complementary information inherent in the measured data to achieve a bias-free reduction of the reconstructed image variance. We performed numerical studies that corroborate our theoretical assertions.

© 2000 Optical Society of America

**OCIS Codes**

(100.3010) Image processing : Image reconstruction techniques

(100.3190) Image processing : Inverse problems

(100.6890) Image processing : Three-dimensional image processing

(100.6950) Image processing : Tomographic image processing

**History**

Original Manuscript: June 15, 1999

Revised Manuscript: October 21, 1999

Manuscript Accepted: October 25, 1999

Published: March 1, 2000

**Citation**

Mark A. Anastasio and Xiaochuan Pan, "Computationally efficient and statistically robust image reconstruction in three-dimensional diffraction tomography," J. Opt. Soc. Am. A **17**, 391-400 (2000)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-3-391

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