B-spline basis functions
Numerical Solution to Euler–Cauchy Equation with Neumann Boundary Conditions Using B-Spline Collocation Method
... degree B-spline basis functions are used as basis functions in collocation method to approximate the solution of second order Euler–Cauchy equations with Neumann boundary ...of ...
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B-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems
... paper, B-spline finite element method using quadratic B-spline basis functions has been successfully used to develop the solution of lin- ear system of second-order boundary ...
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THE SOLUTION OF FREE-FORM DEFORMATION PROBLEM USING PSEUDOINVERSE
... scheme or control point insertion remain preserved. The general idea of T-spline was published by Sederberg [29]. Generally, the arbitrary surface point is com- puted with the combination of the control points and ...
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Ninth Degree B-spline Collocation Method for Numerical Solution of the Ninth Order Linear Differential Equation
... degree B-spline collocation method the approximate solution is written as the linear combination of ninth degree B-spline basis functions for the approximation space under ...
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B spline surfaces on circle and fan shaped domain
... a B-spline curve we can get rotating B-spline basis functions and the definition of B-spline surfaces on cylindrical coordinate system, gives the nature of ...
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1. A B-Spline-SSPRK54 method for advection-diffusion processes
... This article has explored the utility of a collocation scheme based on modified cubic B-spline basis functions in space with the SSPRK54 scheme in time for solving the Burgers equation. It has ...
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Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation
... (LCCBS) basis function. If γ = 0, the basis function is equal to cubic trigonometric B-spline basis function and if γ = 1, the basis function is equal to exponential cubic ...
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A NUMERICAL APPROACH TO CAUDREY DODD GIBBON EQUATION VIA COLLOCATION METHOD USING QUINTIC B-SPLINE BASIS
... In this study, numerical solutions of the Caudrey Dodd Gibbon equation are investi- gated. For this purpose, a combination of collocation method on the finite element ap- proach and finite difference discreziation is ...
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NACA four-digit airfoil section generation using cubic parametric curve segments and the golden section
... List Symbols of ah bt, c^ d{ interpolant cubic spline Bernfx Bernstein basis B, Bezier c chordlength E Young's f,g arbitrary functions curve coefficients polynomial defining modulus of p[r] ...
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Solving a nonlinear inverse system of Burgers equations
... unknown functions using some the B-spline func- tions in collocation method are more accurate than the numerical results of the radial basis function method, also the execution time in the ...
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NUMERICAL SOLUTION OF NON-CONSERVATIVE LINEAR TRANSPORT PROBLEMS
... cubic B-spline functions for the solutions of some initial boundary value problems for the AD equation ...quintic B-spline functions as basis are combined with some ...
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Numerical Solution of Obstacle Problems by B Spline Functions
... Variational inequality theory has become an effective and powerful tool for studying obstacle and unilateral problems arising in mathematical and engineering sci- ences. This theory has developed into an interesting ...
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Multiresolution Analysis Adapted to Irregularly Spaced Data
... the spline basis on the interpolation ...the B-spline functions are defined between two consecutive knots of the considered ...boundary functions in an interval. These particular ...
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A Method for Topographical Estimation of Lake Bottoms by B-Spline Surface
... Usually,B-splines with order four (degree three) are used in the calculation. Along the x direction we set the knots , ' , … , ) , and the knots at both ends are four-folded.So, the total number of basis ...
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Generalized B spline curve surface and its properties
... uniform B-spline curve is an important tool for geometric design curve modeling is widely used in computer aided geometric design ...a spline curve [6]. But spline curve can't accurately ...
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Construction of Orthonormal Piecewise Polynomial Scaling and Wavelet Bases on Non-Equally Spaced Knots
... nonuniform B-spline functions. These functions are widely used to represent curves and surfaces [9, ...nonuniform B-spline function [9]. The generated polynomial spline ...
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A review of spline function procedures in R
... cubic spline basis on a default of 10 knots, with a third order difference ...cubic B-splines functions with 20 interior knots and a second order difference ...
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Zooming Digital Images using Interpolation Techniques
... By definition, the term interpolation arises from the concept of re-sampling [5]. The term re-sampling refers to the process of transforming a discrete image that is defined at one set of coordinate locations to a new ...
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Quasi-Quartic Trigonometric Bézier Curves and Surfaces with Shape Parameters
... quasi-quartic trigonometric Bézier curves and surfaces are defined by the introduced base functions. Each curve segment is generated by five consecutive control points. The shape of the curve can be adjusted by ...
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An Optimization Method Based On B-spline Shape Functions & the Knot Insertion Algorithm
... In the airfoil design case, the drag coefficient has been reduced significantly, by about 62% with only 233 function calls, saving about 42% CPU time compared to the EXTREM method. Using this technique researchers will ...
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