## Iterative image reconstruction using prior knowledge

JOSA A, Vol. 23, Issue 6, pp. 1292-1300 (2006)

http://dx.doi.org/10.1364/JOSAA.23.001292

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### Abstract

A method is proposed to reconstruct signals from incomplete data. The method, which can be interpreted both as a discrete implementation of the so-called prior discrete Fourier transform (PDFT) spectral estimation technique and as a variant of the algebraic reconstruction technique, allows one to incorporate prior information about the reconstructed signal to improve the resolution of the signal estimated. The context of diffraction tomography and image reconstruction from samples of the far-field scattering amplitude are used to explore the performance of the method. On the basis of numerical computations, the optimum choice of parameters is determined empirically by comparing image reconstructions of the noniterative PDFT algorithm and the proposed iterative scheme.

© 2006 Optical Society of America

**OCIS Codes**

(100.3010) Image processing : Image reconstruction techniques

(100.3020) Image processing : Image reconstruction-restoration

(100.3190) Image processing : Inverse problems

(100.6640) Image processing : Superresolution

(100.6950) Image processing : Tomographic image processing

**ToC Category:**

Atmospheric and Oceanic Optics

**History**

Original Manuscript: August 12, 2005

Manuscript Accepted: November 18, 2005

**Citation**

Hsin M. Shieh, Charles L. Byrne, Markus E. Testorf, and Michael A. Fiddy, "Iterative image reconstruction using prior knowledge," J. Opt. Soc. Am. A **23**, 1292-1300 (2006)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-6-1292

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