Positivity Preserving Interpolation Using Rational Bicubic Spline
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This paper discusses the positivity preserving interpolation for positive surfaces data by extending theC1rational cubic spline interpolant of Karim and Kong to the bivariate cases. The partially blended rational bicubic spline has 12 parameters in the descriptions where 8 of them are free parameters. The sufficient conditions for the positivity are derived on every four boundary curves network on the rectangular patch. Numerical comparison with existing schemes also has been done in detail. Based on Root Mean Square Error (RMSE), our partially blended rational bicubic spline is on a par with the established methods.
- Northern University of Malaysia Malaysia
- Universiti Sains Malaysia Malaysia
- Universiti Teknologi Petronas Malaysia
Artificial intelligence, Computational Mechanics, Structural engineering, Mathematical analysis, Numerical computation using splines, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, Spline (mechanical), Numerical interpolation, Bicubic interpolation, QA1-939, FOS: Mathematics, Image (mathematics), Spline interpolation, Isogeometric Analysis in Computational Engineering, Numerical Analysis, Statistics, Shape Optimization, Bilinear interpolation, Applied mathematics, Computer science, Monotone cubic interpolation, Bivariate analysis, Fracture Mechanics Modeling and Simulation, Mechanics of Materials, Physical Sciences, Interpolation (computer graphics), Mean squared error, Mathematics
Artificial intelligence, Computational Mechanics, Structural engineering, Mathematical analysis, Numerical computation using splines, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, Spline (mechanical), Numerical interpolation, Bicubic interpolation, QA1-939, FOS: Mathematics, Image (mathematics), Spline interpolation, Isogeometric Analysis in Computational Engineering, Numerical Analysis, Statistics, Shape Optimization, Bilinear interpolation, Applied mathematics, Computer science, Monotone cubic interpolation, Bivariate analysis, Fracture Mechanics Modeling and Simulation, Mechanics of Materials, Physical Sciences, Interpolation (computer graphics), Mean squared error, Mathematics
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