Representations of Geometry for Computer Graphics An Introduction

11/16/99


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Table of Contents

Representations of Geometry for Computer Graphics An Introduction

Representations of Geometry

Semantic Equivalence of Representations

Computational Differences

Complexity vs. Verbosity Tradeoff

Piecewise Constant Approximations

Piecewise Linear Approximations

Piecewise Polynomial Approxiations

Implications of Complexity / Verbosity Tradeoff

Implications of Complexity / Verbosity Tradeoff

Taxonomy for Representations of Geometry

Discrete vs. Continuous

Combinatorial

Topological Representations

Set Membership Hierarchy

Set Membership Hierarchy

Functional

Parametrics

Implicits

Implications for Designing Geometry Systems

Author: Naylor

Email: cs426@cs.princeton.edu

Home Page: http://www.cs.princeton.edu/courses/cs426