Towards Real-Time Massive Geometry Processing

In Geometry Processing, a field which has developed during the last
ten tyears, concepts from applied mathematics, computer science, and
engineering are used to design efficient algorithms for the
acquisition, manipulation, animation and transmission of complex 3D
models. A number of methods have been proposed to smooth, denoise,
edit, compress, transmit, reparameterize, and animate very large
polygon meshes, based on topological and combinatorial methods, signal
processing techniques, constrained energy minimization, and the
solution of diffusion differential equations. In particular, polygon
models, which are used in most graphics applications, require
considerable amounts of storage, even when they only approximate
precise shapes with limited accuracy, and must be compressed by
several orders of magnitude for fast network access. In this talk I
will present an overview of the field, pointing out some of my
contributions, and will describe some ongoing research projects.