B-spline
A New Approach for Reconstructed B spline Surface Approximating to Scattered Data Points
... Firstly, for a molar model, there are 12099 vertices and 24069 triangles, respectively. The rule sample points in 3-D space is shown in Figure 7(a) and the constructed B-spline surface is shown in Figure ...
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Tool-path generation for free-form surfaces with B-spline curves
... new B -Spline curve is generated and we pass to the next data ...f B-Spline curves with a minimum num ber o f control points, which are used in the generation o f the tool ...
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Generalized B-spline functions method for solving optimal control problems
... The approach in the currant paper is different. A numerical technique based on collocation method is proposed for the solution of OCPs. We present a computational method for solving nonlinear constrained quadratic OCPs ...
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Anti-aliasing with stratified B-spline filters of arbitrary degree
... a B-spline filter to compute the final luminous intensity at each ...A B-spline filter of order one amounts to a simple anti-aliasing scheme with box ...the B-spline generates ...
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Cubic B-spline Collocation Method for One-Dimensional Heat Equation
... cubic B-spline collocation method is used [7, 9, 10] for solving the heat equation (1) and the solutions are compared with the exact ...the B-spline method and uniform convergence for the ...
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Septic B Spline Solution of Fifth Order Boundary Value Problems
... septic B-spline function is presented for the solution of linear and nonlinear fifth-order boundary value ...use B-spline collocation method, which leads to a seven nonzero bands linear ...
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Lookback option pricing using the Fourier transform B-spline method
... uses B-spline approximation theory to provide an accurate closed-form approximation to a Fourier transform representation of the discrete lookback option ...use B-spline interpolation theory ...
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An exponential B spline collocation method for the fractional sub diffusion equation
... quadratic spline collocation method for the fractional sub-diffusion equation [], where the convergence under L ∞ -norm was ana- ...cubic B-spline collocation method [], whose stability was ...
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Design Of Cam Profile Using Higher Order B-Spline
... From theoretical, numerical and simulation analysis it is found that the nature of curves play an important role in designing Cam-follower mechanism. The flexible curve is useful to design Cam profile with high velocity, ...
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A New Kind of EH B-spline Curve With a Shape Parameter
... EH B-spline basis functions for λ = μ = −1, 0, 1 have the properties of non- negativity and partition of unity, the entire EH B-spline curve segment must lie inside the control polygon spanned ...
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A Novel Fourier Transform B-spline Method for Option Pricing
... transform B-spline method ...of B-splines, which are very flexible piecewise polynomial functions, to approximate integrand functions in the Fourier transform pricing ...
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Interval B-Spline Curve Fitting
... interval B-spline curve fitting is introduced in this ...fixed B-spline curves) associated with the set of given interval data points and the interval B-spline curve are ...a ...
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EXTENDED B-SPLINE COLLOCATION METHOD FOR KDV-BURGERS EQUATION
... A comparison of discrete maximum norms with the results obtained by the radial basis collocation methods with multiquadric (MQ), inverse quadric (IQ) and Gaussian (GA) forms in the study[25] at the time t = 1 and t = 10 ...
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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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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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B Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems
... order B-spline functions to construct the numerical method for solving singularly perturbed boundary value ...use B-spline collocation method, which leads to a tri-diagonal linear ...
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Collision Detection and Merging of Deformable B-Spline Surfaces in Virtual Reality Environment
... are B-spline ...a B-spline surface, an implicit surface or a point, to allow the user a variety of rigid or deformable ...the B-spline surface are independent of the position of ...
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BMICA-independent component analysis based on B-spline mutual information estimator
... of B-Spline functions to assign data points to bins. B-Spline is a flexible mathematical formulation for curve fitting due to number of desirable properties ...the B-Spline ...
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A matrix Method for Computing the Derivatives of Interval Uniform B-Spline Curves
... There are several kinds of polynomial curves in CAGD, e.g., Bezier [1], [2], [3], [4] Said-Ball [5], Wang-Ball [6], [7], [8], B-spline curves [9] and DP curves [10], [11]. These curves have some common and ...
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B-spline Method for Solving Fredholm Integral Equations of the First Kind
... Ill-posed problems arise as inverse problems in many areas of science and engineering. The first type Fredholm integral equation is a special kind of the inverse problem. A large number of inverse problems of ...
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