Novel method for exactly evaluating the energy of Catmull-Clark subdivision surfaces  

Catmull-Clark细分曲面能量精确分析方法(英文)

作　　者：周海[1] 周来水[2] 

机构地区：[1]盐城工学院机械工程学院,盐城224003 [2]南京航空航天大学CAD/CAM工程研究中心,南京210016

出　　处：《Journal of Southeast University(English Edition)》2005年第4期453-458,共6页东南大学学报（英文版）

基　　金：TheNaturalScienceFoundationofJiangsuHigherEducationInstitutions(No.04KJD430213),theNaturalScienceFoundationofJiangsuProvince(No.BK2001408),theNaturalScienceFoundationofYanchengCity(No.YK2005016),theNaturalScienceFoundationofYanchengInstituteofTechnology(No.XJS2005011).

摘　　要：A novel method is produced to evaluate the energy of the Catmull-Clark subdivision surface including extraordinary points in the control mesh. A closed-form analytic formula for thin plate energy of the Catmull-Clark subdivision surface of arbitrary topology is derived through translating the Catmull-Clark subdivision surface into bi-cubic B-spline surface pieces. Using this method, both the membrane energy and the thin plate energy can be evaluated without requiring recursive subdivision. Therefore, it is more efficient and more accurate than the existing methods for calculating the energy of the Catmull-Clark subdivision surface with arbitrary topology. The example of surface fairing demonstrates that this method is efficient and successful for evaluating the energy of subdivision surfaces.提出了一种新的精确计算包含奇异顶点的CatmullClark细分曲面能量的方法.通过把CatmullClark细分曲面片转化成双3次B样条曲面片,导出了任意拓扑结构的细分曲面完整的能量计算公式.该方法不需要对细分曲面进行递归细分,就能计算出细分曲面的膜能量和薄板能量,与现有方法相比,该方法能快速准确地计算出细分曲面的能量.曲面光顺实例表明,用该方法计算细分曲面能量高效可行.

关 键 词：Catmull-Clark subdivision energy of surface fairing of surface 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]