This paper describes a numerical method for surface parameterization, yielding maps that
are locally injective and discretely conformal in an exact sense. Unlike previous methods for …

This paper introduces a new approach to computing geodesics on polyhedral surfaces---the
basic idea is to iteratively perform edge flips, in the same spirit as the classic Delaunay flip …

We describe a method for the generation of seamless surface parametrizations with
guaranteed local injectivity and full control over holonomy. Previous methods guarantee …

We describe an efficient algorithm to compute a discrete metric with prescribed Gaussian
curvature at all interior vertices and prescribed geodesic curvature along the boundary of a …

We discuss a notion of discrete conformal equivalence for decorated piecewise Euclidean
surfaces (PE-surface), that is, PE-surfaces with a choice of circle about each vertex. It is …

Let S be the 2-sphere and V⊂ S be a finite set of at least three points. We show that for each
function κ: V→(0, 2 π) satisfying elementary necessary conditions, in each discrete …

Unstructured triangular and tetrahedral meshes are widely used in graphics, engineering,
and scientific computing due to their flexibility to represent objects with complex boundaries …

Motivation The shape of a cell is tightly controlled, and reflects important processes
including actomyosin activity, adhesion properties, cell differentiation, and polarization …

In this paper, we introduce a new discretization of the Gaussian curvature on surfaces, which
is defined as the quotient of the angle defect and the area of some dual cell of a weighted …

A decoration of a hyperbolic surface of finite type is a choice of circle, horocycle or
hypercycle about each cone-point, cusp or flare of the surface, respectively. In this article we …