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CGI
2006
IEEE

Spline Thin-Shell Simulation of Manifold Surfaces

10 years 10 months ago
Spline Thin-Shell Simulation of Manifold Surfaces
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 with...
Kexiang Wang, Ying He 0001, Xiaohu Guo, Hong Qin
Added 10 Jun 2010
Updated 10 Jun 2010
Type Conference
Year 2006
Where CGI
Authors Kexiang Wang, Ying He 0001, Xiaohu Guo, Hong Qin
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