Computational Mathematics of Discrete Surfaces (09w5119)

Objectives

Despite the fact that discrete surfaces are a topic of common interest for
these different research communities the amount of interaction between the
different communities remains fairly limited. Only recently, with the
increasing relevance of mathematics of discrete surfaces for computer
graphics and scientific computing we start seeing the first steps towards
combing the knowledge accumulated in the different communities to develop
computational methods for effective and principled processing of discrete
surfaces.

Our workshop intends to facilitate this emerging discourse by bringing
together researcher who investigate discrete geometry of surfaces from the
different perspectives. It will bring together researchers from discrete
differential geometry, computer graphics, computational geometry and
numerical mathematics to discuss the recent developments in this field on an
expert level. By explicitly focusing on a diverse multidisciplinary list of
attendees it aims to promote exposure and interaction, hopefully providing a
push towards more interdisciplinary approaches for processing of discrete
surfaces.

To facilitate a free exchange of information between the diverse set of
attendees we expect to keep the set of specific presentation and discussion
topic fairly wide, as long as they address geometry of discrete surfaces. We
therefore list only a few of the potential topics:

(1) Global parameterization of discrete surfaces with singularity control;

(2) Analysis and processing of developable surfaces;

(3) Reconstruction of discrete surfaces from point clouds, particularly
focusing on space-time reconstruction of deforming surfaces.

(4) Computation of curvature and other differential properties on discrete
surfaces;

(5) Generation of surface and volume meshes.

This workshop shall initiate interdisciplinary discussions and focus on the
central mathematical and algorithmic problems in this field. Therefore we
plan, additional to the invited presentations to have a coule of discussion
sessions
in small and varying groups of participants on the most urgent problems in
this field.

Geometry of discrete surfaces has a growing number of industrial
applications in architecture, engineering, games and film industries. Based
on our discussions with researchers and developers in industry and the
interest they expressed, we plan to invite a significant number of industry
participants to the workshop.