DERIVATION AND IMPLEMENTATION OF A CONE-BEAM RECONSTRUCTION ALGORITHM FOR NONPLANAR ORBITS

被引:104
作者
KUDO, H
SAITO, T
机构
[1] Institute of Information Sciences and Electronics, University of Tsukuba
关键词
D O I
10.1109/42.276158
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Smith [1], [2] and Grangeat [31, [4] derived a cone-beam inversion formula that can be applied when a nonplanar orbit satisfying the completeness condition is used. Although Grangeat's inversion formula is mathematically different from Smith's one, they have similar overall structures to each other. The contribution of this paper is two-fold. First, based on the derivation of Smith [1], [2], we point out that Grangeat's inversion formula and Smith's one can be conveniently described using a single formula (the Smith-Grangeat inversion formula) that is in the form of space-variant filtering followed by cone-beam backprojection. Furthermore, the resulting formula is reformulated for data acquisition systems with a planar detector to obtain a new reconstruction algorithm. Second, we make two significant modifications to the new algorithm to reduce artifacts and numerical errors encountered in direct implementation of the new algorithm. As for exactness of the new algorithm, the following fact can be stated. The algorithm based on Grangeat's intermediate function is exact for any complete orbit, whereas that based on Smith's intermediate function should be considered as an approximate inverse excepting the special case where almost every plane in 3-D space meets the orbit. The validity of the new algorithm is demonstrated by simulation studies.
引用
收藏
页码:196 / 211
页数:16
相关论文
共 33 条
  • [1] A THEORETICAL FRAMEWORK OF REGIONAL CONE-BEAM TOMOGRAPHY
    CHEN, JX
    [J]. IEEE TRANSACTIONS ON MEDICAL IMAGING, 1992, 11 (03) : 342 - 350
  • [2] CLACK R, 1991, LECT NOTES COMPUT SC, V511, P45, DOI 10.1007/BFb0033741
  • [3] DEFRISE M, 1993, IEEE T MED IMAGING, V12, P622
  • [4] PRACTICAL CONE-BEAM ALGORITHM
    FELDKAMP, LA
    DAVIS, LC
    KRESS, JW
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1984, 1 (06): : 612 - 619
  • [5] GRANGEAT P, 1991, LECT NOTES MATH, V1497, P66
  • [6] GRANGEAT P, 1991, P SOC PHOTO-OPT INS, V1445, P320, DOI 10.1117/12.45229
  • [7] GRANGEAT P, 1987, THESIS ECOLE NATIONA
  • [8] REVIEW OF CONVERGENT BEAM TOMOGRAPHY IN SINGLE PHOTON-EMISSION COMPUTED-TOMOGRAPHY
    GULLBERG, GT
    ZENG, GL
    DATZ, FL
    CHRISTIAN, PE
    TUNG, CH
    MORGAN, HT
    [J]. PHYSICS IN MEDICINE AND BIOLOGY, 1992, 37 (03) : 507 - 534
  • [9] HERMAN GT, 1980, IMAGE RECONSTRUCTION, P237
  • [10] CONE BEAM COLLIMATION FOR SINGLE PHOTON-EMISSION COMPUTED-TOMOGRAPHY - ANALYSIS, SIMULATION, AND IMAGE-RECONSTRUCTION USING FILTERED BACKPROJECTION
    JASZCZAK, RJ
    FLOYD, CE
    MANGLOS, SH
    GREER, KL
    COLEMAN, RE
    [J]. MEDICAL PHYSICS, 1986, 13 (04) : 484 - 489