Using parameters to increase smoothness of curves and surfaces generated by subdivision
Computer Aided Geometric Design
Totally positive functions through nonstationary subdivision schemes
Journal of Computational and Applied Mathematics
Approximation by GP box-splines on a four-direction mesh
Journal of Computational and Applied Mathematics
Smoothed hat functions in subdivision
Journal of Computational and Applied Mathematics
A 4-point interpolatory subdivision scheme for curve design
Computer Aided Geometric Design
Scalar multivariate subdivision schemes and box splines
Computer Aided Geometric Design
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One of the difficult task in subdivision is to create new effective subdivision schemes. Therefore, aim of this paper is a systematic analysis of affine combination of known subdivision masks to generate new subdivision schemes with enhanced properties. This will be done in the stationary and the non stationary case for the univariate and bivariate settings.