Some results on uniformly high-order accurate essentially nonoscillatory schemes
Applied Numerical Mathematics - Special issue in honor of Milt Rose's sixtieth birthday
Nonlinear pyramid transforms based on median-interpolation
SIAM Journal on Mathematical Analysis
Stationary Subdivision
Convergence and C1 analysis of subdivision schemes on manifolds by proximity
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Curvature of approximating curve subdivision schemes
Proceedings of the 7th international conference on Curves and Surfaces
A class of nonlinear four-point subdivision schemes
Advances in Computational Mathematics
Geometric multiscale decompositions of dynamic low-rank matrices
Computer Aided Geometric Design
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This paper proves approximation order properties of various nonlinear subdivision schemes. Building on some recent results on the stability of nonlinear multiscale transformations, we are able to give very short and concise proofs. In particular we point out an interesting connection between stability properties and approximation order for nonlinear subdivision schemes.