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C1 convexity-preserving piecewise variable degree rational interpolation spline
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2020 An explicit expression of a C1 piecewise variable degree rational interpolation spline is developed, which produces a convex (concave) interpolant to given convex (concave) data directly.
Lianyun PENG, Yuanpeng ZHU
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Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity
MATEC Web of Conferences, 2017 Monotonicity preserving interpolation is very important in many sciences and engineering based problems. This paper discuss the monotonicity preserving interpolation for monotone data set by using C2 rational cubic spline interpolant (cubic/quadratic ...
Bin Abdul Karim Samsul Ariffin
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Shape Preserving Interpolation Using C2 Rational Cubic Spline
Journal of Applied Mathematics, 2016 This paper discusses the construction of new C2 rational cubic spline interpolant with cubic numerator and quadratic denominator. The idea has been extended to shape preserving interpolation for positive data using the constructed rational cubic spline ...
Samsul Ariffin Abdul Karim +1 more
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An Improvement on the Upper Bounds of the Partial Derivatives of NURBS Surfaces
Mathematics, 2020 The Non-Uniform Rational B-spline (NURBS) surface not only has the characteristics of the rational Bézier surface, but also has changeable knot vectors and weights, which can express the quadric surface accurately.
Ye Tian +4 more
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Frontiers in Physics, 2021 From the observed datasets, we should be able to produce curve surfaces that have the same characteristics as the original datasets. For instance, if the given data are positive, then the resulting curve or surface must be positive on entire given ...
Samsul Ariffin Abdul Karim +2 more
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Parametric Curve Comparison for Modeling Floating Offshore Wind Turbine Substructures
Energies, 2023 The drive for the cost reduction of floating offshore wind turbine (FOWT) systems to the levels of fixed bottom foundation turbine systems can be achieved with creative design and analysis techniques of the platform with free-form curves to save ...
Adebayo Ojo +2 more
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Time-domain parametric sensitivity analysis of multiconductor transmission lines [PDF]
, 2011 We present a new parametric macromodeling technique for lossy and dispersive multiconductor transmission lines (MTLs). This technique can handle design parameters, such as substrate or geometrical layout features, and provide time-domain sensitivity ...
Antonini, G +4 more
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Image interpolation by rational ball cubic B-spline representation and genetic algorithm
Alexandria Engineering Journal, 2018 In this article a rational ball cubic B-spline representation based image interpolation scheme is proposed with tension parameter to interpolate two dimensional natural images.
Samreen Abbas +2 more
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Constructive Approximation, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Towards a More General Type of Univariate Constrained Interpolation With Fractal Splines
, 2015 Recently, in [Electronic Transaction on Numerical Analysis, 41 (2014), pp. 420-442] authors introduced a new class of rational cubic fractal interpolation functions with linear denominators via fractal perturbation of traditional nonrecursive rational ...
Chand, A. K. B. +2 more
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