Geometric Programming for Computer Aided Design

Alberto Paoluzzi, Collectif d'auteurs

796 pages, parution le 25/03/2003

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Résumé

Geometric Programming is currently of interest in CAD (Computer Aided Design) and related areas such as computer graphics, modeling and animation, scientific simulation and robotics. A growing interest towards geometric programming is forecast in the next few years with respect to market specific CAD applications (e.g. for architecture and mechanical CAD) and web-based collaborative design environments.

PLaSM is a general purpose functional language to compute with geometry which the authors use throughout their text. The PLaSM language output produces VRML (Virtual Reality Modelling Language) files which are used to create virtual worlds. PLaSM blends the powerful algebraic approach to programming developed at IBM research, with a dimension-independent approach to geometric data structures and algorithms, This book shows that such geometric code can be surprisingly compact and easy to write.

It begins by introducing the basic programming with PLaSM and algebraic and geometric foundations of shape modeling, the foundations of computer graphics, solid modeling and geometric modeling of manifolds follows and finally discusses the application of geometric programming. For each topic, the mathematics is given, together with the PLaSM implementation (usually with a few lines of readable code) and some worked examples.

Combines excellent coverage of the theory with well-developed examples
Numerous applications eg. scientific stimulation, robotics, CAD, Virtual Reality
Worked exercises for each topic
Uses PLaSM language (supplied) throughout to illustrate techniques
Supported with web presence

Written for Industrial Practioners developing CAD software, mechanical engineers in Graphics, CAD and CAM, undergraduate and postgraduate courses in Computer Science and Mechanical Engineering,as well as programmers involved with developing visualization software.

Contents

Programming and Geometry

Introduction to FL and PlaSM
Geometric Programming
Elements of Linear Algebra
Elements of Polyhedral Geometry
Elements of Differential Geometry

Graphics

AffineTransformations
Graphic Primitives
Hierarchical Structures
Graphic Pipelines
Viewing and Rendering

Modeling

Parametric Curves
Parametric Surfaces and Solids
Basic and Modeling
Dimension-Independent PlaSM Operators
Motion Modeling

Appendices

Appendix A- Definition of MyFont
Appendix B- PlaSM Libraries
Appendix C- References

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	Alberto Paoluzzi, Collectif d'auteurs
Parution	25/03/2003
Nb. de pages	796
Format	17 x 25
Couverture	Relié
Poids	1475g
Intérieur	Noir et Blanc
EAN13	9780471899426
ISBN13	978-0-471-89942-6