Triangular Springs for Modeling Nonlinear Membranes

@article{Delingette2008TriangularSF,
  title={Triangular Springs for Modeling Nonlinear Membranes},
  author={Herv{\'e} Delingette},
  journal={IEEE Transactions on Visualization and Computer Graphics},
  year={2008},
  volume={14},
  pages={329-341}
}
This paper provides a formal connection between springs and continuum mechanics in the context of one-dimensional and two-dimensional elasticity. In the first stage, the equivalence between tensile springs and the finite element discretization of stretching energy of planar curves is established. Furthermore, when the strain is a quadratic function of stretch, this energy can be described with a new type of springs called tensile biquadratic springs. In the second stage, we extend this… CONTINUE READING