Remeshing is a key component of many geometric algorithms, including modeling, editing,
animation and simulation. As such, the rapidly developing field of geometry processing has …

This monograph reviews both the theory and practice of the numerical computation of
geodesic distances on Riemannian manifolds. The notion of Riemannian manifold allows …

Surface editing operations commonly require geometric details of the surface to be
preserved as much as possible. We argue that geometric detail is an intrinsic property of a …

The aim of this paper is to propose a method for dealing with the problem of mesh
deformation (or mesh evolution) in the context of free and moving boundary problems, in …

Localization-based super-resolution techniques open the door to unprecedented analysis of
molecular organization. This task often involves complex image processing adapted to the …

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 introduce a framework for triangle shape optimization and feature preserving smoothing
of triangular meshes that is guided by the vertex Laplacians, specifically, the uniformly …

A conformal flattening maps a curved surface to the plane without distorting angles—such
maps have become a fundamental building block for problems in geometry processing …

Providing a thorough mathematical foundation, multiresolution modeling is the standard
approach for global surface deformations that preserve fine surface details in an intuitive …

In this paper, we propose a generic framework for 3D surface remeshing. Based on a metric-
driven Discrete Voronoi Diagram construction, our output is an optimized 3D triangular mesh …