Computer Aided Geometric Design - Special issue: Topics in CAGD
Computer Aided Geometric Design
A surface intersection algorithm based on loop detection
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
Implicitization using moving curves and surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Analysis of Algorithms Generalizing B-Spline Subdivision
SIAM Journal on Numerical Analysis
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Fine level feature editing for subdivision surfaces
Proceedings of the fifth ACM symposium on Solid modeling and applications
Piecewise smooth subdivision surfaces with normal control
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Elementary Numerical Analysis: An Algorithmic Approach
Elementary Numerical Analysis: An Algorithmic Approach
Continuous contact simulation for smooth surfaces
ACM Transactions on Graphics (TOG)
Normal bounds for subdivision-surface interference detection
Proceedings of the conference on Visualization '01
Trimming for subdivision surfaces
Computer Aided Geometric Design
Surface modeling and parameterization with manifolds
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Multiresolution geometric details on subdivision surfaces
Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia
The distance of a subdivision surface to its control polyhedron
Journal of Approximation Theory
Differential behaviour of iteratively generated curves
Proceedings of the 7th international conference on Curves and Surfaces
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Improving the Parameterization of Approximate Subdivision Surfaces
Computer Graphics Forum
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Subdivision-based representations are recognized as important tools for the generation of high-quality surfaces for Computer Graphics. In this paper we describe two parameterizations of Catmull-Clark subdivision surfaces that allow a variety of algorithms designed for other types of parametric surfaces (i.e., B-splines) to be directly applied to subdivision surfaces. In contrast with the natural parameterization of subdivision surfaces characterized by diverging first order derivatives around extraordinary vertices of valence higher than four, the derivatives associated with our proposed methods are defined everywhere on the surface. This is especially important for Computer-Aided Design (CAD) applications that seek to address the limitations of NURBS-based representations through the more flexible subdivision framework.