Nicholas M. Patrikalakis, Takashi Maekawa

Shape Interrogation for Computer Aided Design and Manufacturing

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 12752157, 978-3-642-04073-3
• 1st ed. 2002, 2nd corr. printing. 2010
• Seitenzahl: 424
• Erscheinungstermin: 28. Februar 2010
• Englisch
• Abmessung: 235mm x 155mm x 27mm
• Gewicht: 722g
• ISBN-13: 9783642040733
• ISBN-10: 364204073X
• Artikelnr.: 27201312

Inhaltsangabe

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.

Rezensionen

From the reviews: MATHEMATICAL REVIEWS "...this is a very detailed and complete book on topics that are important in both the theory and practice of geometric modeling. It is a welcome addition to the literature. Reading it and experimenting with the techniques it describes should be a rewarding experience."