欢迎访问《图学学报》 分享到：
图学学报

图学学报

• 计算机图形学 • 上一篇    下一篇

形状可调的Loop 细分曲面渐进插值方法

  

  1. 北京航空航天大学机械工程及自动化学院，北京 100191
  • 出版日期:2018-06-30 发布日期:2018-07-10
  • 基金资助:
    国家自然科学基金项目(51305016，61572056)

A Progressive Interpolation Scheme for Loop Subdivision Surfaces with Shape Adjustment

  1. School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China
  • Online:2018-06-30 Published:2018-07-10

PDF (PC)

127

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。

关键词: Loop 细分, 形状可调, 渐进插值, 权因子

Abstract: 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.

Key words: Loop subdivision, shape adjustment, progressive interpolation, weight