Multiplicative algebraic computed tomographic algorithms for the reconstruction of multidirectional interferometric data

Dean D. Verhoeven

doi:10.1117/12.60852

1 February 1993 Multiplicative algebraic computed tomographic algorithms for the reconstruction of multidirectional interferometric data

Dean D. Verhoeven

Author Affiliations +

Optical Engineering, Vol. 32, Issue 2, (February 1993). https://doi.org/10.1117/12.60852

Abstract

There has been much recent interest in the application of optical tomography to the study of transport phenomena and chemical reactions in transparent fluid flows. An example is the use of multidirectional holographic interferometry and computed tomography for the study of crystal growth from solution under microgravity conditions. A critical part of any such measurement system is the computed tomography program used to convert the measured interferometric data to refractive index distributions in the object under study. Several of the most promising computed tomography algorithms for this application are presented and compared. Because of the practical difficulty of making multidirectional interferometric measurements, these measurements generally provide only limited amounts of data. Recent studies have indicated that of the several classes of reconstruction algorithms applicable in the limited-data situation, those based on the multiplicative algebraic reconstruction technique (MART) are the fastest, most flexible, and most accurate. Several MART-type algorithms have been proposed in the literature. The performance of state-of-the-art implementations of four such algorithms under conditions of interest to those reconstructing multidirectional interferometric data are compared. The algorithms are tested using numerically generated data from two phantom objects, with two levels of added noise and with two different imaging geometries. A reconstruction of real data from a multidirectional holographic interferometer using the best of the algorithms is shown.

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Dean D. Verhoeven "Multiplicative algebraic computed tomographic algorithms for the reconstruction of multidirectional interferometric data," Optical Engineering 32(2), (1 February 1993). https://doi.org/10.1117/12.60852

Published: 1 February 1993

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