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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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RATIONAL SPLINE INTERPOLATION TO MONOTONIC DATA [PDF]
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 1999 Peeter Oja
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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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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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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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Graphical Models, 2011 We develop a class of rational, G^2-connected splines of degree 3 that allow modeling multiple basic shapes, such as segments of conics and circle arcs in particular, in one structure. @? This can be used, for example, to have portions of a control polygon exactly reproduce segments of the shapes while other portions blend between these primary shapes.
Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania ( host institution ) +2 more
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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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On the limits of non-uniform rational B-spline surfaces with varying weights
Advances in Mechanical Engineering, 2017 The non-uniform rational B-spline is a mathematical model commonly used in computer-aided design and manufacturing. For a non-uniform rational B-spline surface, when a single weight approaches infinity, the surface tends to the corresponding control ...
Yue Zhang, Chun-Gang Zhu, Qing-Jie Guo
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Space cutter compensation method for five-axis nonuniform rational basis spline machining
Advances in Mechanical Engineering, 2015 In view of the good machining performance of traditional three-axis nonuniform rational basis spline interpolation and the space cutter compensation issue in multi-axis machining, this article presents a triple nonuniform rational basis spline five-axis ...
Yanyu Ding +4 more
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Local Control of the Curves Using Rational Cubic Spline
Journal of Applied Mathematics, 2014 This paper discussed the local control of interpolating function by using rational cubic spline (cubic/quadratic) with three parameters originally proposed by the authors. The rational spline has C1 continuity.
Samsul Ariffin Abdul Karim +1 more
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