A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A generative classification of mesh refinement rules with lattice transformations
Computer Aided Geometric Design
On the support of recursive subdivision
ACM Transactions on Graphics (TOG)
Real-Time Refinement and Simplification of Adaptive Triangular Meshes
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
A topological lattice refinement descriptor for subdivision schemes
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
An heuristic analysis of the classification of bivariate subdivision schemes
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
ACM: atlas of connectivity maps for semiregular models
Proceedings of Graphics Interface 2013
Special Section on Graphics Interface: Atlas of connectivity maps
Computers and Graphics
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Refinement operators for triangular meshes as used in subdivision schemes or remeshing are discussed. A numbering scheme is presented, covering all refinement operators that (topologically) map vertices onto vertices. Using this characterization, some special properties of n-adic and √3-subdivision are easy to see.