Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
A Factored Approach to Subdivision Surfaces
IEEE Computer Graphics and Applications
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
Gaming Graphics: The Road to Revolution
Queue - Search Engines
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
ACM Transactions on Graphics (TOG)
On the curvature of guided surfaces
Computer Aided Geometric Design
Pairs of bi-cubic surface constructions supporting polar connectivity
Computer Aided Geometric Design
Interpolatory quad/triangle subdivision schemes for surface design
Computer Aided Geometric Design
Fast parallel construction of smooth surfaces from meshes with tri/quad/pent facets
SGP '08 Proceedings of the Symposium on Geometry Processing
Extracting surface representations from rim curves
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part II
The importance of polynomial reproduction in piecewise-uniform subdivision
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Mathematics and Computers in Simulation
A new interpolation subdivision scheme for triangle/quad mesh
Graphical Models
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In this article, we present a subdivision scheme for mixed triangle/quad meshes that is C2 everywhere except for isolated, extraordinary points. The rules that we describe are the same as Stam and Loop's scheme [2003] except that we perform an unzipping pass prior to subdivision. This simple modification improves the smoothness along the ordinary triangle/quad boundary from C1 to C2, and creates a scheme capable of subdividing arbitrary meshes. Finally, we end with a proof based on Levin and Levin's [2003] joint spectral radius calculation to show our scheme is indeed C2 along the triangle/quad boundary.