首页>
外国专利>
System and method for establishing correspondence, matching and repairing three dimensional surfaces of arbitrary genus and arbitrary topology in two dimensions using global parameterization
System and method for establishing correspondence, matching and repairing three dimensional surfaces of arbitrary genus and arbitrary topology in two dimensions using global parameterization
展开▼
机译：使用全局参数化在二维中建立任意属和任意拓扑的三维表面的对应，匹配和修复的系统和方法
展开▼
页面导航
摘要
著录项
相似文献
摘要
A system, method and computer program product for parameterizing a 3D surface of genus g and arbitrary topology to the 2D plane. The method includes receiving an input 3D mesh of genus g; computing n discrete harmonic one-forms on the surface of the mesh to obtain n numbers for every edge in the graph represented by an input mesh; selecting two compatible linearly independent discrete harmonic one-forms for parameterization; assigning an arbitrary vertex in the mesh as an origin, and then summing each of the two harmonic one-forms along the edges of the graph using a traversal strategy to form 2D coordinates for every other vertex of the mesh to form the 2D parameterization of the 3D surface; detecting all singularities in the 2D parameterization; and, removing faces connected to the singularity and parameterizing the vertices of the removed faces using a 2D parameterization method, and connecting these vertices using a 2D polygonalization algorithm. Using the 3D mapping methodology employed, a correspondence function is computed that can be used to match two 3D object surfaces and repair meshes of arbitrary genus.
展开▼
