Reproduction in tessellation structures

Modeling of Spherical Particle Packing Structures Using Mathematical Tessellation

In recent years, the literature shows an increasing interest to tessellation methods based on Voronoi diagrams to model different structures as packing of spheres. Voronoi diagrams have found numerous practical and theoretical applications in a large number of fields in science and technology as well as in computer graphics. A useful property of Voronoi diagrams is that they represent cellular ...

Instanced Tessellation

Smooth GPU Tessellation

Models used in real-time graphics are commonly rendered using triangular boundary representations. Triangulation approximates flat surfaces very well, but requires many fine triangles to accurately represent curved surfaces. This project implements two methods for smoothing coarse input meshes using GPU tessellation shaders to obtain smooth surfaces.

Tessellation of Quadratic Elements

Topology-based methods have been successfully used for the analysis and visualization of piecewise-linear functions defined on triangle meshes. This paper describes a mechanism for extending these methods to piecewise-quadratic functions defined on triangulations of surfaces. Each triangular patch is tessellated into monotone regions, so that existing algorithms for computing topological repres...

Regular Tessellation Link Complements

By a regular tessellation, we mean any hyperbolic 3-manifold tessellated by ideal Platonic solids such that the symmetry group acts transitively on oriented flags. A regular tessellation has an invariant we call the cusp modulus. For small cusp modulus, we classify all regular tessellations. For large cusp modulus, we prove that a regular tessellations has to be infinite volume if its fundament...