【摘要】 基于模型上采集的非组织的样本点数据,我们给出了表面细分的一个框架。通过研究和分析几何上近似最优的表面细分的方法:平方距离最小,来揭示它的相交性与稳定性,以及非线性约束的最优化问题。从而保证了表面细分稳定的相交,并实现了最优方法的近似。更多还原

【Abstract】 Based on the unorganized sample data points from the module,we can take out a framework of subdivision surface.Through the analyze and design the gometrically motived approximately optimation method of the subdivision surface:squared distance inimization,which revaled the intrinsic relation on contrianed about stability and convergence,and the contrianed of the non-linear optimization.Therefore,this make sure the convergence to the subdivide of the surface,and accomplish the method of optimization fitting.更多还原