Building blocks for designing arbitrarily smooth subdivision schemes with conic precision
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Publication:482668
DOI10.1016/j.cam.2014.10.024zbMath1307.65016OpenAlexW1994442929MaRDI QIDQ482668
Publication date: 6 January 2015
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.2014.10.024
interpolationsmoothnessnon-stationary subdivisionconic reproductionDubuc-Deslauriers familyexponential polynomial generationLane-Riesenfeld algorithm
Related Items (10)
Exponential pseudo-splines: looking beyond exponential B-splines ⋮ Approximation order and approximate sum rules in subdivision ⋮ Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials ⋮ Family of \(a\)-ary univariate subdivision schemes generated by Laurent polynomial ⋮ A family of smooth and interpolatory basis functions for parametric curve and surface representation ⋮ An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision ⋮ Smooth shapes with spherical topology: beyond traditional modeling, efficient deformation, and interaction ⋮ Nonstationary interpolatory subdivision schemes reproducing high-order exponential polynomials ⋮ Non-stationary subdivision schemes: state of the art and perspectives ⋮ Annihilation operators for exponential spaces in subdivision
Cites Work
- Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction
- A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
- A family of subdivision schemes with cubic precision
- Affine combination of B-spline subdivision masks and its non-stationary counterparts
- Symmetric iterative interpolation processes
- Exponentials reproducing subdivision schemes
- A family of non-stationary subdivision schemes reproducing exponential polynomials
- Exponential polynomial reproducing property of non-stationary symmetric subdivision schemes and normalized exponential B-splines
- Generalized Lane-Riesenfeld algorithms
- Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix
- Polynomial reproduction for univariate subdivision schemes of any arity
- From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms
- Divided differences of implicit functions
- A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
- A unified interpolatory subdivision scheme for quadrilateral meshes
- Snakes With an Ellipse-Reproducing Property
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