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| 基于伪直母线的复杂曲面自适应分片与展开 |
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陈动人1,2, 王国瑾1,2
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1.浙江大学数学系图像图形研究所,浙江杭州,310027;2.浙江大学,CAD&CG国家重点实验室,浙江杭州,310027
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| 摘要: |
| 利用自适应分片技术把拓扑结构复杂的曲面展开为平面.首先把CAD/CAM常用的参数曲面转化为三角剖分模型,求出曲面的伪直母线;然后基于伪直母线对曲面进行自适应分片;最后展开每一片曲面区域.该算法可以直接应用于计算机辅助设计、制造和计算机图形学的纹理映射,也可以应用于实际工业造型中的后继处理. |
| 关键词: 可展曲面 直纹面 伪直母线 曲面展开 |
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| 基金项目:Supported by the National Natural Science Foundation of China under Grant No.69973041 (国家自然科学基金); the National Grand Fundamental Research 973 Program of China under Grant No.G1998030600 (国家重点基础研究发展规划(973)); the Natural Science Foundation of Zhejiang Province of China under Grant No.698025 (浙江省自然科学基金) |
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| A Complex Surface Adaptive Segment and Development Algorithm Based on Its Quasi-Rulings |
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CHEN Dong-Ren,WANG Guo-Jin
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| Abstract: |
| Using an adaptive segment technique, a topological complex 3D surface can be developed into its corresponding 2D pattern. Firstly, triangular facet model is used to present a complex surface, and its quasi-rulings are computed. Secondly, the 3D surface is adaptively segmented based on its quasi-ruling. Finally, each segment is flatted into 2D pattern. This development algorithm can be directly used to computer aided design or texture mapping. It can be also applied to post-process in practical industrial modeling. |
| Key words: developable surface ruled surface quasi-ruling surface development |
