A generalized curve subdivision scheme of arbitrary order with a tension parameter
From MaRDI portal
Publication:631528
DOI10.1016/j.cagd.2010.09.001zbMath1216.65026OpenAlexW1994208555MaRDI QIDQ631528
Mei-e Fang, Weiyin Ma, Guo-zhao Wang
Publication date: 14 March 2011
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2010.09.001
analytic curvesgeneralized B-spline curvegeneralized subdivisionhyperbolic spline curvestension parametertrigonometric spline curves
Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
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Cites Work
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- A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
- Nonlinear subdivision through nonlinear averaging
- Uniform trigonometric polynomial B-spline curves
- Unified and extended form of three types of splines
- C-curves: An extension of cubic curves
- Exponentials reproducing subdivision schemes
- Analysis of asymptotically equivalent binary subdivision schemes
- Unifying C-curves and H-curves by extending the calculation to complex numbers
- A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
- Extending cubic uniform B-splines by unified trigonometric and hyperbolic basis
- A subdivision scheme for surfaces of revolution
- A subdivision algorithm for trigonometric spline curves