Abstract

An algorithm for computer tomography has been developed that is applicable to reconstruction from data having incomplete projections because an opaque object blocks some of the probing radiation as it passes through the object field. The algorithm is based on iteration between the object domain and the projection (Radon transform) domain. Reconstructions are computed during each iteration by the well-known convolution method. Although it is demonstrated that this algorithm does not converge, an empirically justified criterion for terminating the iteration when the most accurate estimate has been computed is presented. The algorithm has been studied by using it to reconstruct several different object fields with several different opaque regions. It also has been used to reconstruct aerodynamic density fields from interferometric data recorded in wind tunnel tests.

© 1984 Optical Society of America

Algebraic iterative algorithm for deflection tomography and its application to density flow fields in a hypersonic wind tunnel

Yang Song, Bin Zhang, and Anzhi He
Appl. Opt. 45(31) 8092-8101 (2006)

Tomography for reconstructing continuous fields from ill-posed multidirectional interferometric data

Soyoung S. Cha and Hongwei Sun
Appl. Opt. 29(2) 251-258 (1990)

Consistent iterative convolution: a coupled approach to tomographic reconstruction

David W. Watt and Charles M. Vest
J. Opt. Soc. Am. A 6(1) 44-51 (1989)

Performance evaluation of iterative tomography algorithms for incomplete projection data

Debasish Mishra, Jon P. Longtin, Raman P. Singh, and Vishwanath Prasad
Appl. Opt. 43(7) 1522-1532 (2004)

Maximum entropy Fourier synthesis with application to diffraction tomography

Ali Mohammad-Djafari and Guy Demoment
Appl. Opt. 26(9) 1745-1754 (1987)