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Spline thin-shell simulation of manifold surfaces

Kwan-Yee K. Wong, Ying He, Xiaohu Guo, Hong Qin
na, page 570-577 - 2006
Download the publication : 54kexiang-wang-cgi-spline-thin-shell.pdf [2.1Mo]  

Abstract

It has been technically challenging to effectively model and simulate elastic deformation of spline-based, thin-shell objects of complicated topology. This is primarily because traditional FEM are typically defined upon planar domain, therefore incapable of constructing complicated, smooth spline surfaces without patching/trimming. Moreover, at least C1 continuity is required for the convergence of FEM solutions in thin-shell simulation. In this paper, we develop a new paradigm which elegantly integrates the thin-shell FEM simulation with geometric design of arbitrary manifold spline surfaces. In particular, we systematically extend the triangular B-spline FEM from planar domains to manifold domains. The deformation is represented as a linear combination of triangular B-splines over shell surfaces, then the dynamics of thin-shell simulation is computed through the minimization of Kirchhoff-Love energy. The advantages given by our paradigm are: FEM simulation of arbitrary manifold without meshing and data conversion, and the integrated approach for geometric design and dynamic simulation/analysis. Our system also provides a level-of-detail sculpting tool to manipulate the overall shapes of thin-shell surfaces for effective design. The proposed framework has been evaluated on a set of spline models of various topologies, and the results demonstrate its efficacy in physics-based modeling, interactive shape design and finite-element simulation.

Images and movies

54kexiang-wang-cgi-spline-thin-shell.jpg [87Ko]
default.jpg [4Ko]
 

BibTex references

@Article {WHGQ06,
  author       = "Wong, Kwan-Yee K. and He, Ying and Guo, Xiaohu and Qin, Hong",
  title        = "Spline thin-shell simulation of manifold surfaces",
  booktitle    = "Proceedings of the 24th international conference on Advances in Computer Graphics",
  journal      = "na",
  pages        = "570--577",
  year         = "2006",
  publisher    = "Springer-Verlag Berlin, Heidelberg",
  url          = "http://cvc.cs.stonybrook.edu/Publications/2006/WHGQ06"
}

Other publications in the database

» Kwan-Yee K. Wong
» Ying He
» Xiaohu Guo
» Hong Qin
 
Department of Computer Science • Stony Brook University, Stony Brook, NY 11794-4400 • 631-632-8470 or 631-632-8471

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