[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Log in

Physics-based Loop surface modeling

  • Correspondence
  • Published:
Journal of Computer Science and Technology Aims and scope Submit manuscript

Abstract

Strongly inspired by the research on physics-based dynamic models for surfaces, we propose a new method for precisely evaluating the dynamic parameters (mass, damping and stiffness matrices, and dynamic forces) for Loop surfaces without recursive subdivision regardless of regular or irregular faces. It is shown that the thin-plate energy of Loop surfaces can be evaluated precisely and efficiently, even though there are extraordinary points in the initial meshes, unlike the previous dynamic Loop surface scheme. Hence, the new method presented for Loop surfaces is much more efficient than the previous schemes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Mandal C, Qin H, Vemuri B C. A novel FEM-based dynamic framework for subdivision surfaces.Computer-Aided Design, 2000, 32: 479–497.

    Article  Google Scholar 

  2. Qin H, Mandal C, Vemuri B C. Dynamic Catmull-Clark subdivision surfaces.IEEE Transactions on Visualization and Computer Graphics, 1998, 4(3): 215–229.

    Article  Google Scholar 

  3. Qin K, Wang H, Li D, Kikinis R, Halle M. Physics-based subdivision surface modeling for medical imaging and simulation. InProc. of MIAR’2001, IEEE Computer Society Press, Hong Kong, 2001, pp.117–124.

    Google Scholar 

  4. Halstead M, Kass M, DeRose T. Efficient, fair interpolation using Catmull-Clark surfaces.Computer Graphics (Proceedings of SIGGRAPH’93), 1993, pp.35–44.

  5. Loop C, Smooth subdivision surfaces based on triangles [Thesis]. Department of Mathematics, University of Utah, 1987.

  6. Stam J. Evaluation of Loop subdivision surface. InProceedings CD of SIGGRAPH’98, 1998.

  7. Lai M J. Fortrain subroutines for B-nets of box splines on three- and four-directional meshes.Numerical Algorithms, 1992, 2: 33–38.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qin Kaihuai.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 59875047 and 69873025) and the Research Fund for the Doctoral Program of Higher Education from China Ministry of Education (Grant No.20010003048).

QIN Kaihuai is a professor in Department of Computer Science and Technology, Tsinghua University. His research interests include graphics, computer data visualization, image processing, computer aided geometric design, physics-based geometric modeling, virtual reality and CAD/CAM.

CHANG Zhengyi is a software engineer. He got his bachelor’s degree in Hunan University in 1988. He is now a graduate student in the Department of Computer Science and Technology, Tsinghua University. His research interests include computer graphics and computer aided geometric modeling.

WANG Huawei is a Ph.D. candidate in the Department of Computer Science and Technology, Tsinghua University. His research interests include computer graphics, computer aided geometric design and physics-based geometric modeling.

LI Denggao is a Ph.D. candidate in the Department of Computer Science and Technology, Tsinghua University. His research interests include computer graphics, computer aided geometric design and physics-based computer aid geometric modeling.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qin, K., Chang, Z., Wang, H. et al. Physics-based Loop surface modeling. J. Compt. Sci. & Technol. 17, 851–858 (2002). https://doi.org/10.1007/BF02960776

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02960776

Keywords

Navigation