par Clack, Rolf;Defrise, Michel 
Référence Journal of the Optical Society of America. A, Optics, image science, and vision., 11, 2, page (580-585)
Publication Publié, 1994
Référence Journal of the Optical Society of America. A, Optics, image science, and vision., 11, 2, page (580-585)
Publication Publié, 1994
Article révisé par les pairs
| Résumé : | A mathematical framework is presented for cone-beam reconstruction by intermediate functions that are related to the three-dimensional Radon transform of the object being imaged. Cone-beam projection data are processed with a filter to form an intermediate function. The filter is a linear combination ah1(l) + bh2(l) of the ramp kernel h1(l) and the derivative functional h2(l). From the intermediate function, the reconstruction is completed with a convolution and backprojection, where the convolution filter is another linear combination ch1(l) + dh2(l) subject to the restriction ac + bd = 1. This formulation unifies and generalizes the important cone-beam formulas of Tuy [SIAM J. Appl. Math. 43, 546 (1983)], Smith [IEEE Trans. Med. Imaging MI-4, 14 (1985)], and Grangeat [Ph.D. dissertation (Ecole Nationale Supérieure des Télécommunications, Paris, 1987)]. The appropriate values of a, b, c, d for these methods are derived. © 1994 Optical Society of America. |
