Subdivision Surfaces

• Main Authors: Peters, Jörg (Author), Reif, Ulrich (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Geometry and Computing, 3
• Subjects: Mathematics.; Visualization.; Geometry.; Discrete mathematics.; Engineering.; Computational intelligence.; Industrial engineering.; Production engineering.; Discrete Mathematics.; Industrial and Production Engineering.; Engineering, general.; Computational Intelligence.

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 mathemati...

Table of Contents:

• 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.