Buch, Englisch, Band 3, 204 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 506 g
Reihe: Geometry and Computing
Buch, Englisch, Band 3, 204 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 506 g
Reihe: Geometry and Computing
ISBN: 978-3-540-76405-2
Verlag: Springer Berlin Heidelberg
Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathematical tools for a thorough analysis, and today, many of the fascinating properties of subdivision are well understood.
This book summarizes the current knowledge on the subject. It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms.
The focus of the book is on the development of a comprehensive mathematical theory, and less on algorithmic aspects. It is intended to serve researchers and engineers - both new to the beauty of the subject - as well as experts, academic teachers and graduate students or, in short, anybody who is interested in the foundations of this flourishing branch of applied geometry.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Operations Research Graphentheorie
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Produktionstechnik Fertigungstechnik
- Mathematik | Informatik EDV | Informatik Professionelle Anwendung Digitale Animation
- Mathematik | Informatik Mathematik Geometrie
- Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
- Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Grafikprogrammierung
- Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
- Technische Wissenschaften Technik Allgemein Technik: Allgemeines
- Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
- Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
Weitere Infos & Material
and Overview.- Geometry Near Singularities.- Generalized Splines.- Subdivision Surfaces.- C1k-Subdivision Algorithms.- Case Studies of C1k-Subdivision Algorithms.- Shape Analysis and C2k-Algorithms.- Approximation and Linear Independence.- Conclusion.
