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Volume 25 Issue 4
Apr.  1999
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Journal of Beijing University of Aeronautics and Astronautics  > 1999  >  25(4): 471-474.
Xi Ping, Jing Ling, Tang Rongxiet al. Study on Global Construction of B-Spline Surface by Deformable Model[J]. Journal of Beijing University of Aeronautics and Astronautics, 1999, 25(4): 471-474. (in Chinese)
Citation: Xi Ping, Jing Ling, Tang Rongxiet al. Study on Global Construction of B-Spline Surface by Deformable Model[J]. Journal of Beijing University of Aeronautics and Astronautics, 1999, 25(4): 471-474. (in Chinese)
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Study on Global Construction of B-Spline Surface by Deformable Model

  • Beijing University of Aeronautics and Astronautics,Dept. of Manufacturing Engineering

  • Received Date: 20 Apr 1998
  • Publish Date: 30 Apr 1999
    Abstract
  • The surface modeling techniques in current CAD systems are generally based on the purely mathematical theories of parametrically described geometry. It is very difficult to design interactively fair surfaces which interpolate given data points or boundary curves. Physics-based modeling techniques are based on physical laws. So the deformation has a great similarity to elastic beams and plates, this makes their behavior natural and fair. The designer can simply and intuitively sculpt the local or global shape by adjusting the applied forces, geometric constraints and physical parameters, therefor can mediate the contradictory of local shape manipulation and global fairness as well as convexity. This method has been used in fairing, N-sided patch blending surfaces and joining surfaces.

     

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  • 1. Terzopoulos D, Platt J, Barr A,et al. Elastically deformable models.Computer Graphics,1987,21:205~214 2. Celniker G, Gossard D. Deformable curve and surface finite elements for free-form shape design. Computer Graphics, 1991,25,257~266 3. Terzopoulos D, Qin H. Dynamic NURBS with geometric constraints for interactive sculpture. ACM Transactions on Graphics, 1994, 13, 103~136 4. Gregory E, Schumaker L. Minimal energy surfaces using parametric splines. Computer-Aided Design, 1996, 13, 45~79 5. Kang H, Kak A. Deformable virtual objects interactively in accordance with an elastic model. Computer-Aided design, 1996, 28, 251~262 6. Feng J Q, Ma L Z, Peng Q S. A new free-form deformation through the control of parametric surfaces. Comput & Graphics, 1996, 20(4):531~539 7. 关志东, 经 玲, 宁 涛,等. 基于物理模型的变形曲线曲面研究及应用. 计算机学报, 1996, 19(增刊):188~193 8. Jing Ling, Guan Zhidong, Ning Tao,et al. Interactive design of deformable model. CADDM, 1997(1):1~10
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