Title :
From cone-beam projections to 3D Radon data in O(N3logN) time
Author :
Danielsson, Per-Erik
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Sweden
Abstract :
The author gives a reformation of Grangeat´s result on how to compute 3-D Radon data from cone-beam projections. He then proposes to recover detector plane line integrals and derivatives of Radon data by a technique which is the 2-D direct Fourier method in reverse. The computation complexity for an N3 object is thereby reduced from O(N4) to O(N3 log N)
Keywords :
computerised tomography; Grangeat´s result; computation complexity; cone-beam projections; derivatives; detector plane line integrals; three dimensional Radon data; two dimensional direct Fourier method; Detectors; Fourier transforms; Geometry; Object detection; Surface reconstruction; Tomography;
Conference_Titel :
Nuclear Science Symposium and Medical Imaging Conference, 1992., Conference Record of the 1992 IEEE
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-0884-0
DOI :
10.1109/NSSMIC.1992.301057
