This paper presents a new formalism for simulating highly deformable bodies with a particle
system. Smoothed particles represent sample points that enable the approximation of the …

Parameterization of discrete surfaces is a fundamental and widely‐used operation in graphics,
required, for instance, for texture mapping or remeshing. As 3D data becomes more and …

In this paper, we develop methods to rapidly remove rough features from irregularly
triangulated data intended to portray a smooth surface. The main task is to remove undesirable …

This paper proposes a unified and consistent set of flexible tools to approximate important
geometric attributes, including normal vectors and curvatures on arbitrary triangle meshes. We …

This paper presents a robust, adaptive method for animating dynamic visco-elastic deformable
objects that provides a guaranteed frame rate. Our approach uses a novel automatic …

In this paper, we propose a stable and efficient algorithm for animating mass-spring systems.
An integration scheme derived from implicit integration allows us to obtain interactive …

A method for concise, faithful approximation of complex 3D datasets is key to reducing the
computational cost of graphics applications. Despite numerous applications ranging from …

With the increasing use of geometry scanners to create 3D models, there is a rising need for
fast and robust mesh smoothing to remove inevitable noise in the measurements. While …

In this paper, we propose a novel polygonal remeshing technique that exploits a key aspect
of surfaces: the intrinsic anisotropy of natural or man-made geometry. In particular, we use …

We present a theory and applications of discrete exterior calculus on simplicial complexes
of arbitrary finite dimension. This can be thought of as calculus on a discrete space. Our …