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The differential equation algorithm for general deformed swept volumes |
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| Authors: | Guoping Wang Xuanji Hua Jiaguang Sun |
| Affiliation: | (1) Department of Computer Science and Technology, Peking University, 100871 Beijing, P.R. China;(2) Department of Mathematics, Fudan University, 200433 Shanghai, P.R. China;(3) CAD Center, Department of Computer Science and Technology, Tsinghua University, 100084 Beijing, P.R. China |
| Abstract: | The differential equation approach for characterizing swept volume boundaries is extended to include objects experiencing deformation. For deformed swept volume, it is found that the structure and algorithm of sweep-envelope differential equation (SEDE) are similar between the deformed and the rigid swept volumes. The efficiency of SEDE approach for deformed swept volume is proved with an example. |
| Keywords: | CAD geometric modeling sweeping motion deformation swept volume |
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