BILDREKONSTRUKTION

摘要

PCT No. PCT/GB93/02377 Sec. 371 Date Jul. 14, 1995 Sec. 102(e) Date Jul. 14, 1995 PCT Filed Nov. 19, 1993 PCT Pub. No. WO94/12947 PCT Pub. Date Jun. 9, 1994The invention provides a back-projection image reconstruction method or algorithm of the type B(FB)-1g=c, where c is the image data vector which is to be reconstructed, g is, arranged in suitable form, the measurement data vector from which the image data vector c is to be reconstructed, F is a matrix representing the forward operation from c to g and B is a matrix representing the corresponding direct back-projection operation, characterised in that for the matrix (FB)-1 there is substituted the equivalent, computationally more amenable, matrix product WQ-1W*, wherein W* is the complex conjugate of W, Q-1 is the inverse of a matrix Q obtainable from the matrix FB by the operation Q=W*(FB)W and W is a matrix related to the Fourier Transform and defined in the specification.