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Beschreibung
Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.
Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.
Zusammenfassung
Two top authors of MIT present a textbook on CAD and geometrical modelling
One of the few textbooks in the field
Inhaltsverzeichnis
Representation of Curves and Surfaces.- Differential Geometry of Curves.- Differential Geometry of Surfaces.- Nonlinear Polynomial Solvers and Robustness Issues.- Intersection Problems.- Differential Geometry of Intersection Curves.- Distance Functions.- Curve and Surface Interrogation.- Umbilics and Lines of Curvature.- Geodesics.- Offset Curves and Surfaces.
Details
Medium: | Taschenbuch |
---|---|
Inhalt: |
xvi
408 S. 165 s/w Illustr. 8 farbige Illustr. 408 p. 173 illus. 8 illus. in color. |
ISBN-13: | 9783642040733 |
ISBN-10: | 364204073X |
Sprache: | Englisch |
Herstellernummer: | 12752157 |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Maekawa, Takashi
Patrikalakis, Nicholas M. |
Auflage: | 1st ed. 2002, 2nd corr. printing. 2010 |
Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg |
Maße: | 235 x 155 x 27 mm |
Von/Mit: | Takashi Maekawa (u. a.) |
Erscheinungsdatum: | 28.02.2010 |
Gewicht: | 0,717 kg |
Zusammenfassung
Two top authors of MIT present a textbook on CAD and geometrical modelling
One of the few textbooks in the field
Inhaltsverzeichnis
Representation of Curves and Surfaces.- Differential Geometry of Curves.- Differential Geometry of Surfaces.- Nonlinear Polynomial Solvers and Robustness Issues.- Intersection Problems.- Differential Geometry of Intersection Curves.- Distance Functions.- Curve and Surface Interrogation.- Umbilics and Lines of Curvature.- Geodesics.- Offset Curves and Surfaces.
Details
Medium: | Taschenbuch |
---|---|
Inhalt: |
xvi
408 S. 165 s/w Illustr. 8 farbige Illustr. 408 p. 173 illus. 8 illus. in color. |
ISBN-13: | 9783642040733 |
ISBN-10: | 364204073X |
Sprache: | Englisch |
Herstellernummer: | 12752157 |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Maekawa, Takashi
Patrikalakis, Nicholas M. |
Auflage: | 1st ed. 2002, 2nd corr. printing. 2010 |
Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg |
Maße: | 235 x 155 x 27 mm |
Von/Mit: | Takashi Maekawa (u. a.) |
Erscheinungsdatum: | 28.02.2010 |
Gewicht: | 0,717 kg |
Warnhinweis