A THEORETICAL FRAMEWORK OF REGIONAL CONE-BEAM TOMOGRAPHY

被引:21
作者
CHEN, JX
机构
[1] Department of Electrical and Computer Engineering, University of Cincinnati, Cincinnati, OH
关键词
D O I
10.1109/42.158938
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Intuitively, if only part of an object is to be reconstructed, the information required to perform the reconstruction should be less than that required to perform global reconstruction (global reconstruction is assumed by every published reconstruction formula with closed format). The reduction of input information will hopefully lead to the simplification of data collection, and reduction of implementation cost. Motivated by this, the author has explored three basic issues of regional cone-beam tomography: 1) a completeness condition for regional reconstruction, 2) an estimation formula, and 3) a convergence condition. The analysis of the first issue yields requirements for artifact free reconstruction, and a convenient criterion for source curve design. The closed format of the estimation formula developed in this paper enables efficient analysis. Last, the discussion of the third issue facilitates guidelines for selecting an appropriate interpolation technique for discrete input data.
引用
收藏
页码:342 / 350
页数:9
相关论文
共 26 条
  • [1] Altschuler M.D., 1977, REV INFORM PROCESSIN, P124
  • [2] [Anonymous], 2016, NUMERICAL ANAL
  • [3] [Anonymous], 1917, MATHEMATISCH PHYSISC
  • [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] CONE BEAM RECONSTRUCTION WITH SOURCES ON A CURVE
    FINCH, DV
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1985, 45 (04) : 665 - 673
  • [6] Goldberg Richard R., 1976, METHODS REAL ANAL, V2
  • [7] GRANGEAT P, 1985, NOV RAD SOC N AM C P
  • [8] GRANGEAT P, 1985, CARS 85 C P
  • [9] HERMAN G T, 1976, Computers in Biology and Medicine, V6, P259, DOI 10.1016/0010-4825(76)90065-2
  • [10] HERMAN GT, 1980, COMPUTER SCI APPLIED