CONE BEAM RECONSTRUCTION WITH SOURCES ON A CURVE
CONE BEAM RECONSTRUCTION WITH SOURCES ON A CURVE
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DOI：
10.1137/0145039
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发表时间：
1985-01-01
影响因子：
1.9
通讯作者：
FINCH, DV
中科院分区：
文献类型：
--
作者：
FINCH, DV
本文提出了一种反演方法，用于从射线源位于曲线上的发散束X射线变换中重建紧支函数。结果适用于许多不满足Tuy条件的曲线[SIAM J. Appl. Math.，43（1983），pp. 546-552），例如具有足够大半径的平面圆。在某些情况下，建立了反演算子的Sobolev范数估计。
An inversion procedure is developed for reconstructing a function of compact support infrom its divergent beamx-ray transform with sources on a curve. The results apply to many curves not satisfying the conditions of Tuy [SIAM J. Appl. Math., 43 (1983), pp. 546–552), for example, planar circles of sufficiently large radius. In some cases, estimates in Sobolev norms are established for the inversion operator.