Differential topology, and specifically Morse theory, provide a suitable setting for formalizing
and solving several problems related to shape analysis. The fundamental idea behind …

In this article, we provide a detailed survey of techniques for hexahedral mesh generation.
We cover the whole spectrum of alternative approaches to mesh generation, as well as post …

Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of
data structures and geometry processing algorithms based on them has been developed in …

Proof: Suppose two distinct points have equal GPS values. Then their eigenfunctions have
equal value at these points. Thus given any function f, the eigenfunction expansion of f will …

We present a novel method for quadrangulating a given triangle mesh. After constructing an
as smooth as possible symmetric cross field satisfying a sparse set of directional constraints …

We present a survey of recent methods for creating piecewise linear map**s between
triangulations in 3D and simpler domains such as planar regions, simplicial complexes, and …

Mesh parameterization is a powerful geometry processing tool with numerous computer
graphics applications, from texture map** to animation transfer. This course outlines its …

We present an explicit method to compute a generalization of the Fourier Transform on a
mesh. It is well known that the eigenfunctions of the Laplace Beltrami operator (Manifold …

We introduce an algorithm for the automatic computation of global parameterizations on
arbitrary simplicial 2‐manifolds, whose parameter lines are guided by a given frame field, for …

Shape analysis plays a pivotal role in a large number of applications, ranging from
traditional geometry processing to more recent 3D content management. In this scenario …