On quasi-local inversion of spiral CT data
Abbreviated Journal Title
Math. Meth. Appl. Sci.
CONE-BEAM RECONSTRUCTION; X-RAY TRANSFORM; TOMOGRAPHY; ALGORITHM; BACKPROJECTION; Mathematics, Applied
Let f be a function supported in an open set U, which is located strictly inside the spiral trajectory C of the X-ray source. Proposed is an algorithm for computing a function f(0) which retains all the sharp features off: More precisely, if f epsilon H-0(a)(U), then f - f(0) epsilon H-loc(a + 1)(U). The algorithm is quasi-local in the sense that for each reconstruction point x one uses the cone beam data corresponding to X-ray sources y epsilon C located close to x. The detector array is two-dimensional, but of limited extent along the axis of the spiral. Stability of the algorithm is studied and results of numerical testing on the simulated data are presented. Copyright (C) 2000 John Wiley & Sons, Ltd.
Mathematical Methods in the Applied Sciences
"On quasi-local inversion of spiral CT data" (2000). Faculty Bibliography 2000s. 2640.