Parameterization of three-dimensional surfaces is a common requirement for many applications in computer graphics, CAD, and CAE. Those applications include texture mapping, surface reconstruction, processing of medical imaging, multiresolutional analysis, finite-element surface meshing, formation of ship hulls, generation of clothing patterns, and metal forming.
Such parameterization is not available directly for composite surfaces or surface tessellations which are a common representation of CAD and graphics models. Multiple recent publications had addressed the problem of constructing a parameterization from a tessellated surface. The presented approaches differ significantly based on the type of the application for which the parameterization is developed. The approaches also seem to reflect the research background of the authors and the tools used within different research communities. The suggested tools include multiresolutional analysis, harmonic maps, finite element simulations, constrained numerical optimization, and physical simulations.
The purpose of the minisymposium is to bring the different research communities together to discuss the challenges involved and to exchange ideas.
Organizer: Eric De Sturler
Virginia Polytechnic Institute & State University
Alla Sheffer
Technion IIT, Haifa, Israel