We present a methodology based on discrete volumetric harmonic functions to parameterize
a volumetric model in a way that it can be used to fit a single trivariate B-spline to data so …

Mapping a triangulated surface to 2D space (or a tetrahedral mesh to 3D space) is an
important problem in geometry processing. In computational physics, untangling plays an …

For finite element analyses within highly elastic and plastic structural domains, hexahedral
meshes have historically offered some benefits over tetrahedral finite element meshes in …

This paper presents a technique that allows to untangle high-order/curvilinear meshes. The
technique makes use of unconstrained optimization where element Jacobians are …

The quality improvement in mesh optimisation techniques that preserve its connectivity are
obtained by an iterative process in which each node of the mesh is moved to a new position …

We describe the design goals and architecture of the Mesquite toolkit, a stand-alone library
consisting of state-of-theart algorithms for mesh quality improvement. The primary …

This paper addresses the prediction of face soft tissue deformations resulting from bone
repositioning in maxillofacial surgery. A generic 3D Finite Element model of the face soft …

We analyze the joint efforts made by the geometry processing and the numerical analysis
communities in the last decades to define and measure the concept of “mesh quality” …

We present a new shape measure for tetrahedral elements that is optimal in that it gives the
distance of a tetrahedron from the set of inverted elements. This measure is constructed from …

This paper describes an approach to smooth the surface and improve the quality of
quadrilateral/hexahedral meshes with feature preserved using geometric flow. For …