| 摘要: |
| 在计算机动画与几何造型中,自由变形是一种重要的几何形状修改方法.该文从移位算子和函数复合的观点探讨一种方法,即当被变形物体用三角片表示、变形工具为B-样条参数体时,变形后的物体可以精确地表示为一组三角Bzier曲面片,其次数为B-样条参数体3个方向的次数之和.此方法的核心在于自由变形是作用在三角片上,而不是顶点上,所以解决了多边形物体B-样条自由变形的点采样问题. |
| 关键词: 自由变形,函数复合,移位算子,三角Bzier曲面片. |
| DOI： |
| 分类号: |
| 基金项目:本文研究得到国家自然科学基金资助. |
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| Accurate B-spline Free-Form Deformation of Polygonal Objects |
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FENG Jie-qing,PENG Qun-sheng
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| Abstract: |
| Free-form deformation is an important geometric shape modification method in computer animation and geometric modeling. The authors explore it by means of functional composition via shifting operators in this paper. When the object to be deformed is represented by triangular meshes and the deformation tool is a B-spline volume, the deformed object can be accurately described as a set of triangular Bzier patches, whose degree is the sum of three directional degrees of the B-spline volume. The proposed method also solves the sample problem of free-form deformation, because free-form deformation acts on triangular meshes rather than points. |
| Key words: Free-form deformation, functional composition, shifting operators, triangular Bzier patch. |
