Improving smoothness and accuracy of modified butterfly subdivision scheme
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Publication:668340
DOI10.1016/j.amc.2015.07.065zbMath1410.65049OpenAlexW1155840601MaRDI QIDQ668340
Paola Novara, Jungho Yoon, Lucia Romani
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.065
interpolationsmoothnessapproximation orderexponential polynomial reproductionnon-stationary subdivision
Numerical smoothing, curve fitting (65D10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (7)
Exponential pseudo-splines: looking beyond exponential B-splines ⋮ On the linear independence of truncated hierarchical generating systems ⋮ An introduction to a hybrid trigonometric box spline surface producing subdivision scheme ⋮ A non-stationary combined subdivision scheme generating exponential polynomials ⋮ Interpolatory subdivision schemes with the optimal approximation order ⋮ An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision ⋮ Non-stationary subdivision schemes: state of the art and perspectives
Cites Work
- Regularity of non-stationary subdivision: a matrix approach
- A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
- Non-stationary subdivision schemes for surface interpolation based on exponential polynomials
- Symmetric iterative interpolation processes
- Convergence of univariate non-stationary subdivision schemes via asymptotic similarity
- Analysis of asymptotically equivalent binary subdivision schemes
- Polynomial reproduction of multivariate scalar subdivision schemes
- Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix
- Subdivision schemes, network flows and linear optimization
- Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
- Ellipse-preserving Hermite interpolation and subdivision
- From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms
- A butterfly subdivision scheme for surface interpolation with tension control
- Subdivision schemes in geometric modelling
- Spline-Based Deforming Ellipsoids for Interactive 3D Bioimage Segmentation
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