B-spline basis function
THE SOLUTION OF FREE-FORM DEFORMATION PROBLEM USING PSEUDOINVERSE
... polynomial B-spline functions and following B-spline curves and surfaces is well known and precisely described in the literature, ...the B-spline basis function ...
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1. A B-Spline-SSPRK54 method for advection-diffusion processes
... polynomial spline and B-spline functions are utilized with other numerical techniques for getting the numerical so- lutions of the Burgers equation playing an important role in their ...any ...
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Generalized B spline curve surface and its properties
... Spline function is said the basic tools in computational geometry and approaching the geometry, and uniform B-spline curve is an important tool for geometric design curve modeling is widely ...
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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 ...
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A BRIEF STUDY ON CARDINAL B- SPLINE WAVELETS
... A spline wavelet is a wavelet constructed using a spline functionwhich is basically orthogonal, but do not have any compact ...interpolatory spline wavelets were introduced by ...called ...
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A review of spline function procedures in R
... s function will create a cubic spline basis on a default of 10 knots, with a third order difference ...the function pb defines cubic B-splines functions with 20 interior knots and a ...
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Interval B-Spline Curve Fitting
... The B in B-spline stands for ”basis”, and the basis is specified by the Cox-de Boor formula for computing the basis ...the basis functions. When these knots are spaced ...
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NUMERICAL SOLUTION OF NON-CONSERVATIVE LINEAR TRANSPORT PROBLEMS
... quintic B-splines or exponential B-splines [21, 22, 23, 31, 32, 33, 34, 35, ...new basis function set, trigonometric cubic B-spline func- ...cubic B-spline ...
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Ninth Degree B-spline Collocation Method for Numerical Solution of the Ninth Order Linear Differential Equation
... degree B-spline as basis function in collocation method is applied to ninth order linear differential equations with boundary condition ...
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Solving a nonlinear inverse system of Burgers equations
... cubic B-splines collocation method does not require extra effort to deal with the nonlinear ...using B-spline collocation method which is adopted to Tikhonov regularization method, the solution of ...
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Numerical Solution to Euler–Cauchy Equation with Neumann Boundary Conditions Using B-Spline Collocation Method
... degree basis function has values other than zeros only in four intervals and zeros in the remaining intervals, it is a continuing process like when one function is ending its effect in its ...
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A NUMERICAL APPROACH TO CAUDREY DODD GIBBON EQUATION VIA COLLOCATION METHOD USING QUINTIC B-SPLINE BASIS
... Where u(x, t) is an differentiable function and the variables x and t denotes the space and time. Subscript notations symbolize the partial derivative respect to space and time, respectively. The CDG equation is a ...
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Numerical Investigation of Separated Solitary Waves Solution for KDV Equation through Finite Element Technique
... using B-spline FEM technique this is also a good achievement due the remarkable accuracy and agreement with the exact solution is found in the further stage ...the b-spline FEM for the ...
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A Method for Topographical Estimation of Lake Bottoms by B-Spline Surface
... of B-spline (Basis spline) surface to the estimation of the lake bottom topography is ...bivariate B-spline, the shape of the lake bottom is ...bivariate B-spline ...
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Construction of Orthonormal Piecewise Polynomial Scaling and Wavelet Bases on Non-Equally Spaced Knots
... nonuniform B-spline ...nonuniform B-spline function [9]. The generated polynomial spline spaces allow an obviously scal- ing of the spaces as required for a multiresolution ...
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Convexity-preserving B-spline modification
... We now consider the problem of moving control points in order to change the shape of the curve while retaining its convexity properties.. This is formulated as t[r] ...
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Multilevel B Spline Repulsive Energy in Nanomodeling of Graphenes
... The purpose of δ shift is to prevent the value of ω λ from being practically zero when λ is far from λ opt . In our case, we have taken the parameter values to be c = = σ 0.005 and δ shift = 1 . Since the objective ...
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B spline surfaces on circle and fan shaped domain
... the B-spline, On this basis 1974 General Motors manufacturing company Gordon [2] and Riesenfeld [3] use the B-spline theory to describe the shape and give the B-spline ...
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Comparison of Significant Approaches of Penalized Spline Regression (P-splines)
... is very attractive for long data series in case, we have to access the sparse matrix software. So where the sparseness is vital, TPF will not work in such settings. Eilers and Marx (2010) expressed that a smaller-scale ...
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Solution and interpolation of one-dimensional heat equation by using cran-nicolson, Cubic Spline and Cubic B-Spline
... Heat equation is part of partial differential equations where it supposes to be linear or non-linear form. It is an important PDE which describe the distribution of heat or variation in temperature in a given region over ...
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