Cubic recursive division with bounded curvature
Curves and surfaces
A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
Analysis of Algorithms Generalizing B-Spline Subdivision
SIAM Journal on Numerical Analysis
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Shape characterization of subdivision surfaces: case studies
Computer Aided Geometric Design
Combining 4- and 3-direction subdivision
ACM Transactions on Graphics (TOG)
On C2 triangle/quad subdivision
ACM Transactions on Graphics (TOG)
Computing - Special issue on Geometric Modeling (Dagstuhl 2005)
Loop subdivision with curvature control
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Extending Catmull-Clark Subdivision and PCCM with Polar Structures
PG '07 Proceedings of the 15th Pacific Conference on Computer Graphics and Applications
A subdivision scheme for surfaces of revolution
Computer Aided Geometric Design
ACM SIGGRAPH Asia 2008 papers
Pairs of bi-cubic surface constructions supporting polar connectivity
Computer Aided Geometric Design
ACM SIGGRAPH 2009 papers
Finite Curvature Continuous Polar Patchworks
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Gn blending multiple surfaces in polar coordinates
Computer-Aided Design
G2 B-spline interpolation to a closed mesh
Computer-Aided Design
An introduction to guided and polar surfacing
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
A new interpolation subdivision scheme for triangle/quad mesh
Graphical Models
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We describe and analyze a subdivision scheme that generalizes bicubic spline subdivision to control nets with polar structure. Such control nets appear naturally for surfaces with the combinatorial structure of objects of revolution and at points of high valence in subdivision meshes. The resulting surfaces are C2 except at a finite number of isolated points where the surface is C1 and the curvature is bounded.