## Investigating the enhancement of three-dimensional diffraction tomography by using multiple illumination planes

JOSA A, Vol. 22, Issue 7, pp. 1251-1262 (2005)

http://dx.doi.org/10.1364/JOSAA.22.001251

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### Abstract

The three dimensional (3-D) extension of the two well-known diffraction tomography algorithms, namely, direct Fourier interpolation (DFI) and filtered backpropagation (FBP), are presented and the problem of the data needed for a full 3-D reconstruction is investigated. These algorithms can be used efficiently to solve the inverse scattering problem for weak scatterers in the frequency domain under the first-order Born and Rytov approximations. Previous attempts of 3-D reconstruction with plane-wave illumination have used data obtained with the incident direction restricted at the *z* axis, while abrupt variations along the *z* axis cannot be imaged. This result should be taken into account in the process of designing the acquisition geometry of a tomography scanner.

© 2005 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

(290.3200) Scattering : Inverse scattering

**History**

Original Manuscript: September 16, 2004

Revised Manuscript: January 15, 2005

Manuscript Accepted: January 19, 2005

Published: July 1, 2005

**Citation**

Angelos T. Vouldis, Costas N. Kechribaris, Theofanis A. Maniatis, Konstantina S. Nikita, and Nikolaos K. Uzunoglu, "Investigating the enhancement of three-dimensional diffraction tomography by using multiple illumination planes," J. Opt. Soc. Am. A **22**, 1251-1262 (2005)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-7-1251

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