Automatic shape matching between two 3-dimensional meshes

本研究的目的是构建一种自动查找两个3D网格之间对应关系的算法。 其基本思想是将对象映射到一个2D矩形参数域，并在参数域中移动每个三角形以找到对应关系。 通过最小化从三角形中的采样点到网格点的平方距离的差的总和来自动找到对应关系。 我们已经实现了这个算法，并确认该算法的工作。 然而，仍然存在一些问题，例如如何控制对应关系等。

The aim of this research is to construct an algorithm for automatically finding a correspondence between two 3D meshes. The basic idea is mapping the objet to a 2D rectangular parameter domain and moving each triangle in the parameter domain to find a correspondence. A correspondence is automatically found by minimizing the sum of the differences of squared distances from the sampled points in a triangle to the point of the mesh. We have implemented this algorithm and confirmed that the algorithm works. However, several problems remain, such as how to control the correspondence, etc.