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 …

A Texture Atlas is an efficient color representation for 3D Paint Systems. The model to be
textured is decomposed into charts homeomorphic to discs, each chart is parameterized …

We present a scalable approach for the optimization of flip-preventing energies in the
general context of simplicial map**s and specifically for mesh parameterization. Our …

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 …

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 …

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 …

We present a novel approach to parameterize a mesh with disk topology to the plane in a
shape‐preserving manner. Our key contribution is a local/global algorithm, which combines …

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

We solve the problem of computing global conformal parameterizations for surfaces with
nontrivial topologies. The parameterization is global in the sense that it preserves the …

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 …