MATHEMATICAL TEXTBOOK OF DEFORMABLE NEUROANATOMIES
MATHEMATICAL TEXTBOOK OF DEFORMABLE NEUROANATOMIES
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DOI：
10.1073/pnas.90.24.11944
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发表时间：
1993-12-15
影响因子：
11.1
通讯作者：
GRENANDER, U
中科院分区：
文献类型：
--
作者：
MILLER, MI;CHRISTENSEN, GE;GRENANDER, U
数学技术提出了从理想到个体的数字解剖学教科书的转换，允许在正常人体解剖中表现的变异。理想的教科书是建立在一个固定的坐标系上，以包含所有目前可获得的关于神经解剖学物理特性的信息。这些信息是通过传感器探针获得的，如磁共振，以及计算机轴向和发射断层扫描，以及符号信息，如白质和灰质束，核等。通过在教科书坐标系上定义概率变换来适应与个体相关的人类可变性，这些变换形成了高维的数学翻译组。通过寻找与可变形弹性固体的物理性质相一致的转换，并将教科书的坐标系与患者的坐标系结合起来，将理想应用于个体患者。配准、分割和融合都是自动完成的，因为教科书具有符号值和多传感器特征。
Mathematical techniques are presented for the transformation of digital anatomical textbooks from the ideal to the individual, allowing for the representation of the variabilities manifest in normal human anatomies. The ideal textbook is constructed on a fixed coordinate system to contain all of the information currently available about the physical properties of neuroanatomies. This information is obtained via sensor probes such as magnetic resonance, as well as computed axial and emission tomography, along with symbolic information such as white- and gray-matter tracts, nuclei, etc. Human variability associated with individuals is accommodated by defining probabilistic transformations on the textbook coordinate system, the transformations forming mathematical translation groups of high dimension. The ideal is applied to the individual patient by finding the transformation which is consistent with physical properties of deformable elastic solids and which brings the coordinate system of the textbook to that of the patient. Registration, segmentation, and fusion all result automatically because the textbook carries symbolic values as well as multisensor features.