Non-uniform interpolatory curve subdivision with edge parameters built upon compactly supported fundamental splines
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Publication:657895
DOI10.1007/s10543-011-0328-2zbMath1232.65028OpenAlexW2118224889MaRDI QIDQ657895
Giulio Casciola, Carolina Vittoria Beccari, Lucia Romani
Publication date: 10 January 2012
Published in: BIT (Search for Journal in Brave)
Full work available at URL: http://amsacta.unibo.it/2947/1/BCR_BIT.pdf
numerical examplesinterpolatory subdivisioncentripetal parameterizationedge parameterinterpolatory fundamental splinesnon-uniform knotsrefinement algorithms
Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)
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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
- Four-point curve subdivision based on iterated chordal and centripetal parameterizations
- An approximating \(C^{2}\) non-stationary subdivision scheme
- A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
- An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
- Shape controlled interpolatory ternary subdivision
- On the deviation of a parametric cubic spline interpolant from its data polygon
- Using parameters to increase smoothness of curves and surfaces generated by subdivision
- Compactly supported fundamental functions for spline interpolation
- Choosing nodes in parametric curve interpolation
- Regularity of irregular subdivision
- Surface design using locally interpolating subdivision schemes
- Shape preserving interpolatory subdivision schemes for nonuniform data
- Interpolation through an iterative scheme
- Monotone and convex \(C^1\) Hermite interpolants generated by a subdivision scheme
- Piecewise \(C^ 1\)-shape-preserving Hermite interpolation
- Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
- The best parameterization for parametric interpolation
- From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms
- C1 Interpolatory Subdivision with Shape Constraints for Curves
- Applications of optimally local interpolation to interpolatory approximants and compactly supported wavelets
- Mathematics of Surfaces XI
- On shape preserving \(C^2\) Hermite interpolation
- An interpolating 4-point \(C^2\) ternary stationary subdivision scheme
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