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| 半静态回插细分方法 |
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张宏鑫1,2, 王国瑾1,2
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1.浙江大学,CAD&CG国家重点实验室,浙江,杭州,310027;2.浙江大学,数学系,计算机图形图像研究所,浙江,杭州,310027
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| 摘要: |
| 根据传统静态细分方法的不足,提出一类新颖的半静态回插细分方法.结合统一的细分框架、半静态控制和回插补偿三者的优势,基于细分算子的观点,分别给出了曲线和曲面情况的细分规则,并对其极限性质作出讨论.按照该方法,可以在不改变控制顶点的情况下,构造出从逼近到插值控制顶点的一系列曲线曲面.同时,引入网格顶点和连接边的方向标注,以生成具有整体方向性的光顺曲面.由于该方法基于符号表示,因此易于实现与扩展,适合于计算机动画造型和工业原型设计. |
| 关键词: 几何造型 细分曲面 插值方法 曲线离散 |
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| 基金项目:国家自然科学基金资助项目(60173034);国家重点基础研究973规划资助项目(G1998030600) |
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| Semi-Stationary Push-Back Subdivision Schemes |
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ZHANG Hong-xin,WANG Guo-jin
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| Abstract: |
| To overcome the shortages of classic subdivision schemes, a kind of novel semi-stationary push subdivision schemes are proposed. Combined with the advantage of unified subdivision framework, semi-stationary control and push-back operator, the schemes in curve and surface case are given based on subdivision operator. And several limit properties are also discussed. These methods can generate a series of blending shapes between approximation and interpolation of the initial control mesh. In surface case, dire,direction tags are introduced to solve the fairness problem.The extensible schemes based on symbol representation are much useful in computer animation and industrial prototype design application. |
| Key words: geometric modeling subdivision surface interpolator scheme curve discretization |
