二阶多面体网格中关键特征控制的表面重建技术

针对基于二阶多节点多面体网格的表面重建过程中存在的准确拓扑及绘制、传输代价等问题,提出了一种基于关键特征控制的表面重建技术.研究并分析了二阶多节点多面体单元等参插值函数的性质特征,在网格单元棱边插值计算曲面轮廓点,在网格表面及体内提取曲面的几何特征关键点;根据3类插值关键点间的逻辑关系制定了令拓扑准确唯一的面片三角化规则及修复策略,设计了基于关键点的三角面片压缩索引结构.实验结果表明,该方法可准确计算并描述基于二阶多节点多面体网格单元的曲面几何拓扑结构,反映网格单元内部面片的真实凹凸性质,克服了拓扑二义性,具备对不同精度要求的适应性,并有效降低了绘制与传输代价.

Surface Reconstruction Skill Based on Key Characteristics Control in Second-order Polyhedral Meshes

In order to solve the problem of accurate topologies and the cost of drawing and transmission during the surface reconstruction process in second-order multi-node polyhedral,the surface reconstruction skill based on key characteristics control was proposed.The method analyzes the characteristics of second-order multi-node polyhedral parameter interpolation functions,calculates accurate contour points in edge,extracts surface and mesh key points which can perform the geometric characteristics of surface in second-order multi-node polyhedral.Based on the logical relationship among the three types of interpolation critical point,it develops the surface triangulation rules which have accurate and unique topologies,and the split-style compress index structure of triangle to triangulation,image optimization and dra-wing.The experiments show that the method can describe the surface accurately,define an unique geometry topology within second-order tetrahedral mesh grid,has the adaptability for different accuracy requirements,and can reduce costs of computation,drawing and transmission dramatically.