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
Multivariate refinement equations and convergence of subdivision schemes
SIAM Journal on Mathematical Analysis
Stationary Subdivision
Computing the Sobolev Regularity of Refinable Functions by the Arnoldi Method
SIAM Journal on Matrix Analysis and Applications
A Method for Analysis of C1-Continuity of Subdivision Surfaces
SIAM Journal on Numerical Analysis
Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
SIAM Journal on Matrix Analysis and Applications
Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets
SIAM Journal on Matrix Analysis and Applications
Triangular √3-subdivision schemes: the regular case
Journal of Computational and Applied Mathematics
Composite primal/dual √3-subdivision schemes
Computer Aided Geometric Design
Design of Hermite Subdivision Schemes Aided by Spectral Radius Optimization
SIAM Journal on Scientific Computing
A generative classification of mesh refinement rules with lattice transformations
Computer Aided Geometric Design
Subdivision scheme tuning around extraordinary vertices
Computer Aided Geometric Design
Shape characterization of subdivision surfaces: basic principles
Computer Aided Geometric Design
Evolutions of polygons in the study of subdivision surfaces
Computing - Geometric modelling dagstuhl 2002
Hierarchical subsampling giving fractal regions
IEEE Transactions on Image Processing
Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices
Computer Aided Geometric Design
Composite 2 subdivision surfaces
Computer Aided Geometric Design
| Hi-index | 0.00 |
Building subdivision schemes out of simple, very local and geometrically invariant averaging rules is convenient both from a theoretical and practical point of view. We review the benefits of this approach with special emphasis on the smoothness analysis of the limit surfaces, derive certain guidelines for how to design reasonable composite schemes, and apply those to √7-subdivision.