Results 11 to 20 of about 3,176 (221)
Convergence of Comonotone Histopolating Splines
Mathematical Modelling and Analysis, 2015 The convergence rate of histopolation on an interval with combined splines of class C1 having linear/linear rational or quadratic polynomial pieces is studied.
Helle Hallik, Peeter Oja
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Data Visualization Using Rational Trigonometric Spline [PDF]
Journal of Applied Mathematics, 2013 This paper describes the use of trigonometric spline to visualize the given planar data. The goal of this work is to determine the smoothest possible curve that passes through its data points while simultaneously satisfying the shape preserving features ...
Uzma Bashir, Jamaludin Md. Ali
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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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Circle and sphere as rational splines
Neural Parallel Sci. Comput., 1997 Summary: A simple method is given to construct periodic splines representations for circles. These are \(n\)-times differentiable and of minimal degree. Further, the extension to spheres is discussed.
Bangert, Claudia, Prautzsch, Hartmut
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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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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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Shape preserving rational cubic spline for positive and convex data
Egyptian Informatics Journal, 2011 In this paper, the problem of shape preserving C2 rational cubic spline has been proposed. The shapes of the positive and convex data are under discussion of the proposed spline solutions. A C2 rational cubic function with two families of free parameters
Malik Zawwar Hussain +2 more
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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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