Golembiovský, Tomá¹Duriez, ChristianJan Bender and Arjan Kuijper and Dieter W. Fellner and Eric Guerin2013-11-082013-11-082012978-3-905673-96-8https://doi.org/10.2312/PE/vriphys/vriphys12/107-116There is a strong need, in surgical simulations, for physically based deformable model of thin or hollow structures. The use of shell theory allows to have a well-founded formulation resulting from continuum mechanics of thin objects. However, this formulation asks for second order spatial derivatives so requires the use of complex elements. In this paper, we present a new way of building the interpolation: First, we use the trianular cubic Bézier shell to allow for a good continuity inside and between the elements and second, we build a kinematic mapping to reduce the degrees of freedom of the element from 10 control points with 3 Degrees of Freedom (I.3.5 [Computer Graphics]Computational Geometry and Object ModelingPhysically based modeling