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On nonparametric estimating ROC curve based on non-uniform rational B-spline. [PDF]
PLoS ONEThe receiver operating characteristic (ROC) curve is a commonly used statistical method to assess the efficacy of a diagnostic test or biomarker measured on a continuous scale. This work presents a versatile approach using a non-uniform rational B-spline
Mahmut Sami Erdoğan
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Construction new rational cubic spline with application in shape preservations
Cogent Engineering, 2018 This study considers the construction a new C 1 rational cubic spline (cubic numerator and quadratic denominator) with three parameters. Some mathematical properties of this rational function will be investigated in details.
Samsul Ariffin Abdul Karim
exaly +2 more sources
Applied Sciences, 2022 A key technique for modeling 2D objects is built using a Bézier-like rational quadratic trigonometric function with two form parameters. Since they are generated employing weights, the suggested rational quadratic trigonometric spline curve schemes are ...
Shamaila Samreen +4 more
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Quadratic/linear rational spline interpolation
Mathematical Modelling and Analysis, 2013 We describe the construction of an interpolating quadratic/linear rational spline S of smoothness class C 2 for a strictly convex (or strictly concave) function y on [a, b].
Erge Ideon, Peeter Oja
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Linear/linear rational spline interpolation
Mathematical Modelling and Analysis, 2010 For a strictly monotone function y on [a, b] we describe the construction of an interpolating linear/linear rational spline S of smoothness class C 1. We show that for the linear/linear rational splines we obtain ¦S(xi ) − y(xi )¦8 = O(h 4) on uniform ...
Erge Ideon, Peeter Oja
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C1 rational quadratic trigonometric spline
Egyptian Informatics Journal, 2013 A Bézier like C1 rational quadratic trigonometric polynomial spline is developed. It defines two shape parameters in each subinterval. The approximation and geometric properties are investigated. The curvature continuity is established.
Maria Hussain, Sidra Saleem
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IEEE Access, 2020 A new rational bi-quartic spline interpolation scheme is constructed in this study. This rational bi-quartic spline has six free parameters that can be used to refine the final interpolating surface.
Samsul Ariffin Abdul Karim
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Rational Cubics and Conics Representation: A Practical Approach
International Islamic University Malaysia Engineering Journal, 2012 A rational cubic spline, with one family of shape parameters, has been discussed with the view to its application in Computer Graphics. It incorporates both conic sections and parametric cubic curves as special cases.
M. Sarfraz, Z. Habib
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Convergence rate of rational spline histopolation
Mathematical Modelling and Analysis, 2007 The convergence rate of histopolation on arbitrary nonuniform mesh with linear/linear rational splines of class C1 is studied. Established convergence rate depends on Lipschitz smoothness class of the function to histopolate.
Malle Fischer, Peeter Oja
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Geometric Modeling Using New Cubic Trigonometric B-Spline Functions with Shape Parameter
Mathematics, 2020 Trigonometric B-spline curves with shape parameters are equally important and useful for modeling in Computer-Aided Geometric Design (CAGD) like classical B-spline curves.
Abdul Majeed +5 more
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