Abbreviated Journal Title
SIAM J. Appl. Math.
cone beam; spiral tomography; theoretically exact reconstruction; filtered backprojection algorithm; CONE-BEAM TOMOGRAPHY; LONG-OBJECT PROBLEM; Mathematics, Applied
Proposed is a theoretically exact formula for inversion of data obtained by a spiral computed tomography ( CT) scan with a two- dimensional detector array. The detector array is supposed to be of limited extent in the axial direction. The main property of the formula is that it can be implemented in a truly filtered backprojection fashion. First, one performs shift- invariant filtering of a derivative of the cone beam projections, and, second, the result is backprojected in order to form an image. Another property is that the formula solves the so- called long object problem. Limitations of the algorithm are discussed. Results of numerical experiments are presented.
Siam Journal on Applied Mathematics
Katsevich, Alexander, "Theoretically exact filtered backprojection-type inversion algorithm for spiral CT" (2002). Faculty Bibliography 2000s. 3280.