This paper provides a tutorial and survey of methods for parameterizing surfaces with a view
to applications in geometric modelling and computer graphics. We gather various concepts …

In this paper, we focus on the retrospective topology correction of surfaces. We propose a
technique to accurately correct the spherical topology of cortical surfaces. Specifically, we …

We provide an image deformation method based on Moving Least Squares using various
classes of linear functions including affine, similarity and rigid transformations. These …

We developed a general method for global conformal parameterizations based on the
structure of the cohomology group of holomorphic one-forms for surfaces with or without …

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 …

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 …

One of the challenges in geometry processing is to automatically reconstruct a higher-level
representation from raw geometric data. For instance, computing a parameterization of an …

In this paper, we propose a novel deep neural network based method, called PUGeo-Net,
for upsampling 3D point clouds. PUGeo-Net incorporates discrete differential geometry into …

A geometric map** establishes a correspondence between two domains. Since no real
object has zero or negative volume, such a map** is required to be inversion-free …

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