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The differential equation algorithm for general deformed swept volumes

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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.

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Author information

Authors and Affiliations

  1. Department of Computer Science and Technology, Peking University, 100871, Beijing, P.R. China

    Wang Guoping

  2. Department of Mathematics, Fudan University, 200433, Shanghai, P.R. China

    Hua Xuanji

  3. CAD Center, Department of Computer Science and Technology, Tsinghua University, 100084, Beijing, P.R. China

    Sun Jiaguang

Authors
  1. Wang Guoping
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  2. Hua Xuanji
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  3. Sun Jiaguang
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Corresponding author

Correspondence to Wang Guoping.

Additional information

This work was supported by the National Natural Science Foundation of China (No.69772019) and the National High-Tech ‘863’ Programme of China/CIMS Subject (No: 863-511-842-004).

WANG Guoping is an associate professor in Dept. of Computer Science and Technology at Peking University. He received the B.S. and M.S. degrees from Harbin Institute of Technology in 1987 and 1990 respectively, and Ph.D. degree from Fudan University in 1997, all in Mathematics. During 1997 to 1999, he is a postdoc researcher in Dept. of Computer Science and Technology in Tsinghua University. His current research interests are in Virutal Reality, Computer Graphics and Computer-Aided Geometric Design.

HUA Xuanji is a professor in Dept. of Mathematics at Fudan University. He received the B.S. degree from Fudan University in 1960 in mathematics. His current research interests are in Computer-Aided Geometric Design, and Applied Geometry.

SUN Jiaguang is a professor in Dept. of Computer Science and Technology at Tsinghua University. He is also Director of National CAD Engineering Center at Tsinghua University and Academician of Chinese Academy of Engineering. He received the B.S. in Computer Science from Tsinghua University in 1970. During 1982 to 1986, he is a visiting scholar in UCLA. His current research interests are in Computer-Aided Geometric Design, Computer Graphics and Product Data Management.

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Wang, G., Hua, X. & Sun, J. The differential equation algorithm for general deformed swept volumes. J. Comput. Sci. & Technol. 15, 604–610 (2000). https://doi.org/10.1007/BF02948843

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  • DOI: https://doi.org/10.1007/BF02948843

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