Computational Line Geometry

Helmut Pottmann, Johannes Wallner - Collection Mathematics Visualization

564 pages, parution le 01/07/2001

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Résumé

The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces. This book covers line geometry from various viewpoints and aims towards computation and visualization. Besides applications, it contains a tutorial on projective geometry and an introduction into the theory of smooth and algebraic manifolds of lines. It will be useful to researchers, graduate students, and anyone interested either in the theory or in computational aspects in general, or in applications in particular.

L'auteur - Helmut Pottmann

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Sommaire

Preface
Table of Contents
Fundamentals
Models of Line Space
Linear Complexes
Approximation in Line Space
Ruled Surfaces
Color Plates
Developable Surfaces
Line Congruences and Line Complexes
Linear Line Mappings - Computational Kinematics
References
List of Symbols
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer - Printemps des maths, Springer
Auteur(s)	Helmut Pottmann, Johannes Wallner
Collection	Mathematics Visualization
Parution	01/07/2001
Nb. de pages	564
Format	16 x 24
Couverture	Relié
Poids	979g
Intérieur	Noir et Blanc
EAN13	9783540420583