LOCAL TOMOGRAPHY
LOCAL TOMOGRAPHY
复制标题
DOI：
10.1137/0152026
复制
发表时间：
1992-04-01
影响因子：
1.9
通讯作者：
SMITH, KT
中科院分区：
文献类型：
--
作者：
FARIDANI, A;RITMAN, EL;SMITH, KT
层析成像从函数f的大量线积分产生函数f的重建。传统的层析成像是一个全局过程，因为用于在单个点处重建的标准卷积公式需要对包含该点的某个平面内的所有线进行积分。局部层析成像，如最初所介绍的，产生了相关函数LAMBDA-f的重建，其中LAMBDA是-DELTA的平方根，正拉普拉斯算子。LAMBDA-f的重建是局部的，因为在一个点处的重建只需要在无限接近该点的线上积分，并且Af具有与f相同的光滑区域和边界。LAMBDA-1f也适合局部重建，到处都很光滑，并包含一个反杯。本文详细研究了LAMBDA和LAMBDA-1的作用，并展示了几个线性组合可以实现的效果。它包括X射线实验的结果，其中线积分是从二维图像增强器和荧光屏上的衰减测量获得的，而不是通常的线性探测器阵列。
Tomography produces the reconstruction of a function f from a large number of line integrals of f. Conventional tomography is a global procedure in that the standard convolution formulas for reconstruction at a single point require the integrals over all lines within some plane containing the point. Local tomography, as introduced initially, produced the reconstruction of the related function LAMBDA-f where LAMBDA is the square root of -DELTA, the positive Laplace operator. The reconstruction of LAMBDA-f is local in that reconstruction at a point requires integrals only over lines passing infinitesimally close to the point, and Af has the same smooth regions and boundaries as f However, LAMBDA-f is cupped in regions where f is constant. LAMBDA-1f, also amenable to local reconstruction, is smooth everywhere and contains a counter-cup. This article provides a detailed study of the actions of LAMBDA and LAMBDA-1, and shows several examples of what can be achieved with a linear combination. It includes the results of x-ray experiments in which the line integrals are obtained from attenuation measurements on two-dimensional image intensifiers and fluorescent screens, instead of the usual linear detector arrays.