We present a symmetrization algorithm for geometric objects. Our algorithm enhances approximate symmetries of a model while minimally altering its shape. Symmetrizing deformations are formulated as an optimization process that couples the spatial domain wi ...
"Symmetry is a complexity-reducing concept [...]; seek it every-where." - Alan J. Perlis Many natural and man-made objects exhibit significant symmetries or contain repeated substructures. This paper presents a new algorithm that processes geometric models ...
Conformal alpha shapes are a new filtration of the Delaunay triangulation of a finite set of points in &Rdbl;d. In contrast to (ordinary) alpha shapes the new filtration is parameterized by a local scale parameter instead of the global scale par ...
In this article we present a new multiscale surface representation based on point samples. Given an unstructured point cloud as input, our method first computes a series of point-based surface approximations at successively higher levels of smoothness, tha ...
We propose a new fluid control technique that uses scale-dependent force control to preserve small-scale fluid detail. Control particles define local force fields and can be generated automatically from either a physical simulation or a sequence of target ...
Recent detail-preserving shape deformation techniques are either based on a combination of multiresolution decomposition and variational bending energy minimization, or they manipulate differential coordinates and solve a Poisson system to obtain the defor ...
This course is designed to cover the entire geometry processing pipeline based on triangle meshes. We will present the latest concepts for mesh generation and mesh repair, for geometry and topology optimizations like mesh smoothing, decimation, and remeshi ...