Shape-preserving curve interpolation
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Publication:2887021
DOI10.1080/00207160.2011.627434zbMath1237.68237OpenAlexW1987349630MaRDI QIDQ2887021
Malik Zawwar Hussain, Maria Hussain, Muhammad Sarfraz
Publication date: 15 May 2012
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2011.627434
Numerical computation using splines (65D07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)
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Cites Work
- Unnamed Item
- Transition between concentric or tangent circles with a single segment of \(G^2\) PH quintic curve
- Data visualization using rational spline interpolation
- Positivity-preserving interpolation of positive data by rational cubics
- Positive data modeling using spline function
- Positivity of cubic polynomials on intervals and positive spline interpolation
- Monotone linear rational spline interpolation
- Monotonicity preserving approximation of multivariate scattered data
- A rational cubic spline with tension
- Monotone piecewise rational cubic interpolation
- Shape-preserving \(C^2\) functional interpolation via parametric cubics
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