Binary Tomography for Triplane Cardiography
Binary Tomography for Triplane Cardiography
复制标题
用于三平面心电图的二元断层扫描
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
E. Vardi
中科院分区：
文献类型：
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作者：
B. Carvalho;G. Herman;S. Matej;Claudia A. Salzberg;E. Vardi
从几个投影重建二值图像（通常是平面中的图像，不一定是笛卡尔网格上的图像）的问题转化为求解方程组的问题，该方程组非常不确定，并且通常会产生一大类解。希望通过使用适当的先验信息将可能的解决方案类别限制为仅包含我们希望重建的未知图像的图像类别的相当典型的解决方案。人们确实可以提出以下假设：如果图像是具有一定分布的一类图像的典型成员，那么通过使用此信息，我们可以将可能的解决方案类别限制为仅那些接近给定未知图像的解决方案。该假设针对代表心脏横截面的一类二值图像的具体情况进行了实验验证，其中该类特定图像的出现概率由吉布斯分布确定，并且重建是从三个噪声投影完成的。
The problem of reconstructing a binary image (usually an image in the plane and not necessarily on a Cartesian grid) from a few projections translates into the problem of solving a system of equations which is very underdetermined and leads in general to a large class of solutions. It is desirable to limit the class of possible solutions, by using appropriate prior information, to only those which are reasonably typical of the class of images which contains the unknown image that we wish to reconstruct. One may indeed pose the following hypothesis: if the image is a typical member of a class of images having a certain distribution, then by using this information we can limit the class of possible solutions to only those which are close to the given unknown image. This hypothesis is experimentally validated for the Specific case of a class of binary images representing cardiac cross-sections, where the probability of the occurrence of a particular image of the class is determined by a Gibbs distribution and reconstruction is to be done from the three noisy projections.