Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH.
IEEE Trans Med Imaging. 1992;11(3):342-50. doi: 10.1109/42.158938.
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 could lead to the simplification of data collection and the reduction of implementation cost. 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 permits efficient analysis. The discussion of the third issue facilitates guidelines for selecting an appropriate interpolation technique for discrete input data.
直观地，如果仅要重建对象的一部分，则执行重建所需的信息应少于执行全局重建所需的信息（全局重建是每个具有封闭格式的已发布重建公式所假设的）。输入信息的减少可能导致数据采集的简化和实施成本的降低。作者已经探索了区域锥束断层摄影术的三个基本问题：（1）区域重建的完备性条件，（2）估计公式，以及（3）收敛条件。对第一个问题的分析得出了无伪影重建的要求和源曲线设计的方便准则。所开发的估计公式的封闭格式允许进行有效的分析。对第三个问题的讨论有助于为离散输入数据选择适当的插值技术提供指导。
