A shape-preserving variant of Lane-Riesenfeld algorithm
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Publication:2146598
DOI10.3934/math.2021131OpenAlexW3111408658MaRDI QIDQ2146598
Abdul Ghaffar, Pakeeza Ashraf, Husna A. Khan, Ghulam Mustafa, Kottakkaran Sooppy Nisar, Dumitru Baleanu
Publication date: 17 June 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021131
Numerical computation using splines (65D07) Numerical interpolation (65D05) Algorithms for approximation of functions (65D15) Computer-aided design (modeling of curves and surfaces) (65D17)
Cites Work
- Binary univariate dual and primal subdivision schemes
- A family of subdivision schemes with cubic precision
- Nonlinear subdivision through nonlinear averaging
- A 4-point interpolatory subdivision scheme for curve design
- A Chaikin-based variant of Lane-Riesenfeld algorithm and its non-tensor product extension
- Families of univariate and bivariate subdivision schemes originated from quartic B-spline
- A new variant of Lane-Riesenfeld algorithm with two tension parameters
- Generalized Lane-Riesenfeld algorithms
- A six-point variant on the Lane-Riesenfeld algorithm
- A new four-point shape-preserving \(C^3\) subdivision scheme
- Subdivision schemes in geometric modelling
- A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
- Simple Regularity Criteria for Subdivision Schemes
- Mathematics of Surfaces XI
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