## Convex projections algorithm for restoration of limited-angle chromotomographic images

JOSA A, Vol. 16, Issue 2, pp. 246-257 (1999)

http://dx.doi.org/10.1364/JOSAA.16.000246

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### Abstract

We present a new algorithm for image restoration in limited-angle chromotomography. The algorithm is a generalization of the technique considered previously by the authors, based on a hybrid of a direct method of inversion and the iterative method of projections onto convex sets. The generalization is achieved by introducing a new object domain constraint. This constraint takes advantage of hyperspectral data redundancy and is realized by truncating the singular-value decomposition of the spatial–chromatic image matrix. As previously, the transform domain constraint is defined in terms of nonzero singular values of the system transfer function matrix. The new algorithm delivers high image fidelity, converges rapidly, and is easy to implement. Results of experiments on real data are included.

© 1999 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(040.3060) Detectors : Infrared

(100.3020) Image processing : Image reconstruction-restoration

(100.6950) Image processing : Tomographic image processing

(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation

**History**

Original Manuscript: May 27, 1998

Revised Manuscript: September 21, 1998

Manuscript Accepted: August 5, 1998

Published: February 1, 1999

**Citation**

Andrzej K. Brodzik and Jonathan M. Mooney, "Convex projections algorithm for restoration of limited-angle chromotomographic images," J. Opt. Soc. Am. A **16**, 246-257 (1999)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-2-246

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