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基于凸凹信号的网格分割

Mesh Segmentation Based on Convex-Concave Signal

  • 摘要: 网格分割在网格参数化、纹理atlas图等几何处理问题中有着重要的应用.提出一种基于顶点或面凸凹信号的简单高效的网格分割算法.基于均匀支撑半径的顶点凸凹信号分析将顶点分为平坦点、凸点、凹点和特征点,先从平坦点进行平坦区域扩展,再从剩下的凸凹点出发进行凸凹区域扩展,最后根据顶点和边界边的光滑度进行区域竞争扩展;对于未能完全分割的简化程度高的模型,基于面的凸凹信号采用类似的过程进一步完成最后的分割.该算法可以快速地进行网格分割并能较好地保持网格特征,特别适用于CAD模型的分割.

     

    Abstract: Mesh segmentation is important for many geometry processing applications including mesh parameterization and texture atlas generation.This paper presents a new and efficient algorithm for mesh segmentation based on the convex-concave analysis for vertices or faces.The convex-concave analysis based on the uniform supporting radius divides the vertex into four categories:flat vertex,convex vertex,concave vertex and feature vertex.The algorithm firstly performs the planar region growing from the flat vertex,followed by the convex-concave region growing from the unclassified convex or concave vertices and finally by the competitive region growing according to the smoothness of border vertices and border edges.For the mesh models which are not segmented fully,the algorithm takes the similar steps based on the face convex-concave analysis to complete final segmentation.This algorithm is fast in mesh segmentation while preserving geometric features,and is particularly suitable for CAD model segmentation.

     

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