形状可调的Loop细分曲面渐进插值方法  

A Progressive Interpolation Scheme for Loop Subdivision Surfaces with Shape Adjustment

作　　者：陈甜甜[1] 闫迪 王伟[1] 赵罡[1] CHEN Tiantian;YAN Di;WANG Wei;ZHAO Gang(School of Mechanical Engineering and Automation,Beihang University,Beijing 100191,China)

机构地区：[1]北京航空航天大学机械工程及自动化学院,北京100191

出　　处：《图学学报》2018年第3期395-401,共7页Journal of Graphics

基　　金：国家自然科学基金项目(51305016;61572056)

摘　　要：针对Loop细分无法调整形状与不能插值的问题,提出了一种形状可调的Loop细分曲面渐进插值方法。首先给出了一个既能对细分网格顶点统一调整又便于引入权因子实现细分曲面形状可调的等价Loop细分模板。其次,通过渐进迭代调整初始控制网格顶点生成新网格,运用本文的两步Loop细分方法对新网格进行细分,得到插值于初始控制顶点的形状可调的Loop细分曲面。最后,证明了该方法的收敛性,并给出实例验证了该方法的有效性。Aming at the problems that Loop subdivision can’t satisfy the shape adjustment and interpolate the given mesh,a progressive interpolation scheme for Loop subdivision surfaces with shape adjustment is presented.Firstly,an equivalent Loop subdivision mask that can adjust the mesh vertices uniformly and facilitate the introduction of weight to adjust the shape of subdivision surfaces is proposed.Secondly,the new grid is generated by the iterative adjustment of the initial control grid,and using the two-phase Loop subdivision scheme presented in this paper to subdivide the new mesh,the shape-adjustable Loop subdivision surface that interpolate the initial control vertices is obtained.Finally,the convergence of the scheme is proved and some typical examples are illustrated to verify its effectiveness.

关 键 词：LOOP细分 形状可调 渐进插值 权因子 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]