文档介绍：A Course in Topology-based Geometric Modeling
Pascal Lienhardt, Laurent Fuchs and Yves Bertrand
-SIC,
Poitiers, France
{lienhardt, fuchs, bertrand}***@-
Abstract cellular notions, where cellular structures are
deduced from “numbered” simplicial sets and
The content of a course in Topology-based Geometric embedding is based upon parametric trimmed
Modeling is presented. The key ideas are based upon patches.
simplicial notions issued binatorial topology.
The well adequacy of these notions to geometric We insist here about plementarity between the
patches (such as Bézier patches) is pointed out. topological aspects (subdivision, etc) and the
Topology and geometric notions are simultaneously embedding ones (curves and surfaces). Highlighting
presented in order to show plementarity. binatorial concepts facilitates this.
Keywords: Geometric modeling, combinatorial Hence a global and homogeneous outline of the field is
topology, subdivisions, geometric patches. given.
1. Introduction 2. Course content
The goals and the content of a course in Topology-
. Introduction (2h)
based Geometric Modeling are described in this paper.
Since several years, it is addressed puter
Science students (Master Degree, ninth and tenth Basic concepts are introduced: subdivision of
semester) who have acquired basic knowledge in geometric space (. pa