A new analytical method for tomographic image reconstruction from cone-beam projections acquired on the source orbits lying on a cylinder is presented. By application of a weighted cone-beam backprojection, the reconstruction problem is reduced to an image-restoration problem characterized by a shift-variant point-spread function that is given analytically. Assuming that the source is relatively far from the imaged object, a formula for an approximate shift-invariant inverse filter is derived; the filter is presented in the Fourier domain. Results of numerical experiments with circular and helical orbits are considered.
© 2000 Optical Society of America
Original Manuscript: December 6, 1999
Manuscript Accepted: June 29, 2000
Published: November 1, 2000
Andrei V. Bronnikov, "Cone-beam reconstruction by backprojection and filtering," J. Opt. Soc. Am. A 17, 1993-2000 (2000)