This paper introduces a new approach to automatically generate pure quadrilateral patch layouts on manifold meshes. The algorithm is based on a careful construction of a singularity graph of a givenâ€¦ (More)

In this paper we give an explicit algorithm to optimize the global structure of quadrilateral meshes i.e base complexes, using a graph perfect matching. The approach consists of constructing aâ€¦ (More)

A regular map is a family of equivalent polygons, glued together to form a closed surface without boundaries which is vertex, edge and face transitive. The commonly known regular maps are derivedâ€¦ (More)

We describe a randomized incremental algorithm for computing the Delaunay triangulation of a set of points and a recent technique of applying it to terrain generation. The algorithm is optimal, usingâ€¦ (More)

Topological and Statistical Methods for Complexâ€¦

2015

Regular map is an algebraic concept to describe most symmetric tilings of closed surfaces of arbitrary genus. All regular maps resp. symmetric tilings of surfaces up to genus 302 are algebraicallyâ€¦ (More)

Discrete boundary-sensitive Hodge decompositions is proposed as a central tool for the analysis of the wall shear stress (WSS) vector fields in aortic blood flows. The method is based on novelâ€¦ (More)

The 6-ring is a tubular surface of genus 13, obtained by gluin together twenty-four 12-gons which follows the regularity of the map R13 .2â€²{12,3}. It is constructed from six rings of two Borromeanâ€¦ (More)

A regular surface is a closed genus g surface defined as the tubular neighbourhood of the edge graph of a regular map. A regular map is a family of disc type polygons glued together to form aâ€¦ (More)