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Groupwise Shape Correspondences on 3D Brain Structures Using Probabilistic Latent Variable Models

机译:使用概率潜在变量模型的3D脑结构上的成组形状对应

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Most of the tasks derived from shape analysis rely on the problem of finding meaningful correspondences between two or more shapes. In medical imaging analysis, this problem is a challenging topic due to the need to establish matching features in a given registration process. Besides, a similarity measure between shapes must be computed in order to obtain these correspondences. In this paper, we propose a method for 3D shape correspondences based on groupwise analysis using probabilistic latent variable models. The proposed method finds groupwise correspondences, and can handle multiple shapes with different number of objects (vertex or descriptors for every shape). By assigning a latent vector for each shape descriptor, we can cluster objects in different shapes, and find correspondences between clusters. We use a Dirichlet process prior in order to infer the number of clusters and find groupwise correspondences in an unsupervised manner. The results show that the proposed method can efficiently establish meaningful correspondences without using similarity measures between shapes.
机译:从形状分析得出的大多数任务都依赖于找到两个或更多形状之间有意义的对应关系的问题。在医学成像分析中,由于需要在给定的注册过程中建立匹配特征,因此该问题是一个具有挑战性的话题。此外,必须计算形状之间的相似性度量以获得这些对应关系。在本文中,我们提出了一种使用概率潜在变量模型的基于组分析的3D形状对应方法。所提出的方法可以找到逐组对应关系,并且可以处理具有不同数量对象的多种形状(每个形状的顶点或描述符)。通过为每个形状描述符分配一个潜矢量,我们可以将不同形状的对象聚类,并找到聚类之间的对应关系。我们先使用Dirichlet过程,以推断聚类的数量并以无监督的方式找到分组对应关系。结果表明,该方法可以有效地建立有意义的对应关系,而无需使用形状之间的相似性度量。

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