Results 1 to 10 of about 25,774 (214)

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
doaj   +8 more sources

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
doaj   +3 more sources

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
doaj   +4 more sources

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
doaj   +4 more sources

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
doaj   +3 more sources

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
doaj   +6 more sources

An Improved Empirical Mode Decomposition Based on Adaptive Weighted Rational Quartic Spline for Rolling Bearing Fault Diagnosis

IEEE Access, 2020
As a powerful time-frequency signal analysis technique, empirical mode decomposition (EMD) has been commonly applied in fault diagnosis. However, the cubic spline-curve often causes outstanding over and undershoot problem, which significantly limits the ...
Xuerong Ye, Yifan Hu, Junxian Shen, Rui Feng, Guofu Zhai   +4 more
doaj   +2 more sources

Positivity Preserving Interpolation Using Rational Bicubic Spline [PDF]

Journal of Applied Mathematics, 2015
This paper discusses the positivity preserving interpolation for positive surfaces data by extending the C1 rational cubic spline interpolant of Karim and Kong to the bivariate cases. The partially blended rational bicubic spline has 12 parameters in the
Samsul Ariffin Abdul Karim, Kong Voon Pang, Azizan Saaban   +2 more
doaj   +4 more sources

Normal type-2 fuzzy rational B-spline curve

, 2013
In this paper, we proposed a new form of type-2 fuzzy data points(T2FDPs) that is normal type-2 data points(NT2FDPs). These brand-new forms of data were defined by using the definition of normal type-2 triangular fuzzy number(NT2TFN).
Rozaimi Zakaria, Abdul Wahab, R. U. Gobithaasan   +2 more
openalex   +3 more sources

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, Muhammad Sarfraz, Tahira Sumbal Shaikh   +2 more
doaj   +2 more sources