scientific article; zbMATH DE number 7602690

zbMath1496.65014MaRDI QIDQ5040742

Muhammad Bilal Riaz, Ayesha Shakeel, Farheen Ibraheem

Publication date: 18 October 2022

Full work available at URL: http://jprm.sms.edu.pk/a-novel-approach-for-the-visualization-of-constrained-data-using-gc1-bi-cubic-functions/

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zbMATH Keywords

rational functionshape preservation\(GC^1\) continuityconvex curve and surface

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Shape-preserving surfaces with constraints on tension parameters
• Nonnegativity preserving interpolation by \(C^1\) bivariate rational spline surface
• Data visualization using rational spline interpolation
• Shape-preserving piecewise rational interpolant with quartic numerator and quadratic denominator
• Positivity-preserving interpolation of positive data by rational cubics
• \(C^{1}\) positive scattered data interpolation
• A bicubic shape-preserving blending scheme
• \(GC^1\) shape-preserving trigonometric surfaces
• Monotonicity preserving approximation of multivariate scattered data
• Shape-preserving trigonometric functions
• Shape-preserving polynomial interpolation scheme
• Shape preserving surface data visualization using rational bi-cubic functions
• Shape-preserving curve interpolation
• Shape control of a bivariate interpolating spline surface
• Modeling rational spline for visualization of shaped data
• Условия формосохранения при интерполяции кубическими сплайнами

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