Repeated local operations and associated interpolation properties of dual \(2n\)-point subdivision schemes
DOI10.1016/j.cam.2018.09.030OpenAlexW2893245339MaRDI QIDQ1713115
Weiyin Ma, Chongyang Deng, Hui-Xia Xu, Ya-Juan Li
Publication date: 24 January 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.09.030
generating functioninterpolation propertyrepeated local operationsdual \(2n\)-point subdivision scheme
Numerical computation using splines (65D07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (3)
Cites Work
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- Non-uniform subdivision for B-splines of arbitrary degree
- A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines
- A generalized curve subdivision scheme of arbitrary order with a tension parameter
- Pseudo-splines, wavelets and framelets
- Polynomial reproduction by symmetric subdivision schemes
- Smoothness of subdivision surfaces at extraordinary points
- A Chaikin-based variant of Lane-Riesenfeld algorithm and its non-tensor product extension
- Repeated local operations for \(m\)-ary \(2N\)-point Dubuc-Deslauriers subdivision schemes
- Families of univariate and bivariate subdivision schemes originated from quartic B-spline
- Generalized Lane-Riesenfeld algorithms
- Dual univariate \(m\)-ary subdivision schemes of de Rham-type
- Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
- Composite primal/dual \(\sqrt 3\)-subdivision schemes
- Polynomial reproduction for univariate subdivision schemes of any arity
- Subdivision surfaces
- Subdivision schemes in geometric modelling
- A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
- A unified interpolatory subdivision scheme for quadrilateral meshes
- On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree
- A unified framework for primal/dual quadrilateral subdivision schemes
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