ACM SIGGRAPH Asia 2008 papers
NURBS with extraordinary points: high-degree, non-uniform, rational subdivision schemes
ACM SIGGRAPH 2009 papers
ACM SIGGRAPH 2009 papers
High-order approximation of implicit surfaces by G1 triangular spline surfaces
Computer-Aided Design
Numerical Checking of C1 for Arbitrary Degree Quadrilateral Subdivision Schemes
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Piecewise Rational Manifold Surfaces with Sharp Features
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Finite Curvature Continuous Polar Patchworks
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Efficient substitutes for subdivision surfaces
ACM SIGGRAPH 2009 Courses
Lens-shaped surfaces and C 2 subdivision
Computing - Geometric Modelling, Dagstuhl 2008
Journal of Approximation Theory
An introduction to guided and polar surfacing
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Efficient pixel-accurate rendering of curved surfaces
I3D '12 Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games
Proceedings of the 7th international conference on Curves and Surfaces
Curvature of approximating curve subdivision schemes
Proceedings of the 7th international conference on Curves and Surfaces
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Graphical Models
Graphical Models
A unified interpolatory subdivision scheme for quadrilateral meshes
ACM Transactions on Graphics (TOG)
Subdivision surfaces integrated in a CAD system
Computer-Aided Design
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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 It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms.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.