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 …

Explicit surface reconstructions provide invaluable substrates for visualizing and analyzing
the complex convolutions of cerebral cortex. This report illustrates the utility of surface-based …

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 …

Consider a bounded planar domain D, an instance h of the Gaussian free field on D, with
Dirichlet energy (2 π)− 1∫ D∇ h (z)⋅∇ h (z) dz, and a constant 0≤ γ< 2. The Liouville …

Direction fields and vector fields play an increasingly important role in computer graphics
and geometry processing. The synthesis of directional fields on surfaces, or other spatial …

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

There is a growing trend toward emotional intelligence in human–computer interaction
paradigms. In order to react appropriately to a human, the computer would need to have …