任意拓扑三角网格模型的Loop细分曲面重建系统  

Fitting System of Loop Subdivision Surfaces from an Irregular Triangle Mesh of Arbitrary Topology Type

作　　者：周海[1] 周来水[2] 

机构地区：[1]盐城工学院,盐城224003 [2]南京航空航天大学,南京210016

出　　处：《中国机械工程》2006年第16期1723-1729,共7页China Mechanical Engineering

基　　金：江苏省自然科学基金资助项目(BK2001408);盐城市科技发展计划项目(YK2005016-10)

摘　　要：提出一种从任意拓扑密集的三角网格模型拟合Loop细分曲面系统,包含对原网格模型进行特征识别,把保持了原有特征的简化网格和拓扑优化所获得的网格作为拟合初始控制网格。系统通过对控制网格顶点的循环修正和局部自适应细分来求解最终拟合细分曲面控制网格,避免了求解线性方程组,提高了拟合曲面的质量,实现了在给定精度下用较少的控制网格反映物体细节特征的分片光滑(片内除奇异点C1外其余C2连续)的Loop细分曲面重建。实例表明,Loop细分曲面重建系统对于任意拓扑海量三角网格测量数据的细分曲面重建是高效可行的。A new system was put forward to fit Loop subdivision surfaces from an irregular and dense triangle mesh of arbitrary topology type. All features of original mesh model were first identified. A topology optimization and mesh simplification method was presented to obtain an initial control mesh. The vertex within control mesh of fitting subdivision surface was located by iterative modification and local adaptive subdivision. This method makes it feasible to avoid the solution of linear equation system. The size of control mesh, which is corresponding to the fitting Loop subdivision surface, is smaller. The surface is reconstructed according to the given precision. It can represent detail characteristics of original model, and is piecewise smooth（C^2 continuous everywhere except at extraordinary vertices where they are C^1 continuous）. Experiments demonstrate this system is efficient and feasible in surface reconstruction from an irregular and dense triangle mesh of arbitrary topology type.

关 键 词：三角网格模型 LOOP细分曲面 逆向工程 曲面拟合 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]