ICT 2008 Networking - build future partnerships
Document Actions
Methods for Analyzing Discrete Surfaces and Their Applications
Up one levelAuthors: Silvia Biasotti, Giuseppe Patane - These lectures deal with computational geometry and topology, and they tackle the problem of analyzing, representing, and abstracting surfaces represented by triangle meshes, that is, piecewise linear surfaces which enable a simple representation of 3D models commonly used in mathematics and computer science. Triangulated surfaces are generated by polygonizing implicit functions, or sampling parametric surfaces, or scanning real 3D objects with optical devices.
All these generation processes provide complex discrete models with arbitrary genus and curvature which are usually unsatisfactory for mathematical modelling (i.e., topological and geometric analysis), numerical simulations, and approximation. In fact, they may consist of a huge number of vertices many of them being redundant, and the vertex sampling as well as the mesh connectivity may be irregular.
Beside the reduction of the complexity and optimization of a given surface M, properties such as normal vectors, curvature values, and critical points, provide only local information about the geometric and topological features of M and they lack in providing a global characterization of M. Therefore, we discuss how to associate a set of high-level representations to M that extract and organize the geometric and topological information of M to reflect and/or to make explicit its sub-parts.
- Course Info by Giuseppe_Patane — last modified 2006-06-17 06:26
- This page contains the main information on the course.
- Course Material by Giuseppe_Patane — last modified 2006-06-17 06:27
- Zip file which contains the course material.