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The Differential Equation Algorithm for General Deformed Swept Volumes

WANG Guoping; HUA Xuanji; SUN Jiaguang;   

  1. Department of Computer Science and Technology; Peking University; Beijing 100871; P.R. China; Department of Mathematics; Fadan University; Shanghai 200433; P.R. China; CAD Center Department of Computer Science;….
  • Online:2000-11-10 Published:2000-11-10

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.

Key words: crosstalk; resource assignment; routing; track reservation; VLSI;



[1] Blackmore D, Leu M C. Analysis of swept volume via Lie groups and differential equations. Int. J.Robots Research, 1992, 11(6): 516-537.

[2] Blackmore D, Leu M C, Wang K K. Application of flows and envelopes to NC machining. Annals of the CIRP, 1992, 41(1): 493-496.

[3] Blackmore D, Jiang H, Leu M C. Modeling of swept solids using sweep differential techniques. In Proc.4th IFIP WG5.2 Workshop, Geometric Modeling in CAD, Renesselaerville, NU, USA, 1992. ……….
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