An improved exact filtered backprojection algorithm for spiral computed tomography
Abbreviated Journal Title
Adv. Appl. Math.
cone-beam; spiral tomography; theoretically exact reconstruction; filtered back-projection algorithm; INVERSION ALGORITHM; CT; Mathematics, Applied
Proposed is a theoretically exact formula for inversion of data obtained by a spiral computed tomography 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 back-projected in order to form an image. Compared with an earlier reconstruction algorithm proposed by the author, the new one is two times faster, requires a smaller detector array, and does not impose restrictions on how big the patient is inside the gantry. Results of numerical experiments are presented. (C) 2003 Elsevier Inc. All rights reserved.
Advances in Applied Mathematics
"An improved exact filtered backprojection algorithm for spiral computed tomography" (2004). Faculty Bibliography 2000s. 4472.