Computer Aided Geometric Design
Cubic recursive division with bounded curvature
Curves and surfaces
Data structures and algorithms for disjoint set union problems
ACM Computing Surveys (CSUR)
Computer Aided Geometric Design
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Non-uniform recursive subdivision surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
ACM SIGGRAPH 2003 Papers
Subdivision scheme tuning around extraordinary vertices
Computer Aided Geometric Design
Shape characterization of subdivision surfaces: case studies
Computer Aided Geometric Design
Extended subdivision surfaces: Building a bridge between NURBS and Catmull-Clark surfaces
ACM Transactions on Graphics (TOG)
Modified subdivision surfaces with continuous curvature
ACM SIGGRAPH 2006 Papers
Loop subdivision with curvature control
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Non-uniform subdivision for B-splines of arbitrary degree
Computer Aided Geometric Design
Subdivision Surfaces
Selective knot insertion for symmetric, non-uniform refine and smooth B-spline subdivision
Computer Aided Geometric Design
Numerical Checking of C1 for Arbitrary Degree Quadrilateral Subdivision Schemes
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Subdivision surfaces for CAD-an overview
Computer-Aided Design
On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree
Computer Aided Geometric Design
A unified framework for primal/dual quadrilateral subdivision schemes
Computer Aided Geometric Design
Numerical Checking of C1 for Arbitrary Degree Quadrilateral Subdivision Schemes
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Polynomial-based non-uniform interpolatory subdivision with features control
Journal of Computational and Applied Mathematics
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Cubic subdivision schemes with double knots
Computer Aided Geometric Design
Generalized Lane-Riesenfeld algorithms
Computer Aided Geometric Design
A unified interpolatory subdivision scheme for quadrilateral meshes
ACM Transactions on Graphics (TOG)
Subdivision surfaces integrated in a CAD system
Computer-Aided Design
Technical note: A technical note on the geometric representation of a ship hull form
Computer-Aided Design
A generalized surface subdivision scheme of arbitrary order with a tension parameter
Computer-Aided Design
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We present a subdivision framework that adds extraordinary vertices to NURBS of arbitrarily high degree. The surfaces can represent any odd degree NURBS patch exactly. Our rules handle non-uniform knot vectors, and are not restricted to midpoint knot insertion. In the absence of multiple knots at extraordinary points, the limit surfaces have bounded curvature.