Abstract

A method is described for image reconstruction that processes the data in polar rather than rectangular coordinates and does not require backprojection. It is based on the decomposition of the object and its shadow (set of projections) into circular harmonics, or radial modulators of angular Fourier components. Inverse filters are derived that enable the radial modulators of the object to be reconstructed from those of the shadow. An optical system for reconstruction using the method is proposed.

© 1981 Optical Society of America

Circular harmonic image reconstruction: experiments

Eric W. Hansen
Appl. Opt. 20(13) 2266-2274 (1981)

Circular and extended circular harmonic transforms and their relevance to image reconstruction from line integrals

Jacques G. Verly
J. Opt. Soc. Am. 71(7) 825-835 (1981)

Estimation of reconstructions in computed tomography

M. J. Lahart
J. Opt. Soc. Am. 71(10) 1155-1161 (1981)

Tomographical imaging with limited-angle input

K. C. Tam and V. Perez-Mendez
J. Opt. Soc. Am. 71(5) 582-592 (1981)

Cone-beam reconstruction by backprojection and filtering

Andrei V. Bronnikov
J. Opt. Soc. Am. A 17(11) 1993-2000 (2000)