spline curves
Degree Elevation of Interval B-Spline Curves
... B-spline curves) associated with the original interval B-spline curve are ...B- spline basis functions are represented as linear combinations of the B-splines of a higher ...B-spline ...
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A matrix Method for Computing the Derivatives of Interval Uniform B-Spline Curves
... shape curves and ...B-spline curves and surfaces have the advantages of both simple computation of points on curves or surfaces and their derivatives and of easy analysis of the geometric ...
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Tool-path generation for free-form surfaces with B-spline curves
... method), (centripetal method, uniform method), (centripetal m ethod, average m ethod), (chord- length m ethod, uniform method), (chord-length method, average method) and simultaneously the errors C x and Cr If the ...
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Degree Reduction of Interval B-Spline Curves
... B- spline stands as one of the most efficient curve representations, and possesses very attractive properties such as spatial uniqueness, boundedness and continuity, local shape controllability, and invariance to ...
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Semi-automatic measurements and description of the geometry of vascular tree based on Bézier spline curves: application to cerebral arteries
... Based on the location of the points found, the parameters of the partition zone were calculated. Split zone points were also used in further analysis of curvature and torsion (described in the following paragraph). The ...
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A simple 2D interpolation model for analysis of nonlinear data
... About four cubic spline curves are generated accord- ing to the formulations of Eqs.3, 4 and 5. Figure 2 shows the relationship between the real values and in- terpolated ones. As it can be seen, there is a ...
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A λµ-B-Spline Curve with Shape Parameters
... ABSTRACT: Spline curve and surface play an important role in CAD and computer ...λμ-B-spline curves are constructed as a generalization of the traditional cubic uniform B-spline ...
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Fuzzy clustering of time series gene expression data with cubic spline
... smoothing spline fitted for the time course ex- pression profile, by which noise can be filtered and then groups genes into clusters by applying fuzzy c- means clustering on the resulting splines ...
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Spline Interpolation Techniques
... In practical fields such as medicine, physics, engineering and computer graphics the amount of data obtained through ex- perimental or statistical surveys is usually very large. The use of an interpolation scheme for the ...
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B spline surfaces on circle and fan shaped domain
... B-spline curves; The third part of the article describes the rotating B-spline basis, rotating B-spline surfaces definition and its nature; The fourth part of the article describes the ...
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Construction of Orthonormal Piecewise Polynomial Scaling and Wavelet Bases on Non-Equally Spaced Knots
... represent curves and surfaces [9, ...polynomial spline spaces allow an obviously scal- ing of the spaces as required for a multiresolution construc- ...such spline spaces, simple basis can be ...
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A Method for Topographical Estimation of Lake Bottoms by B-Spline Surface
... Abstract: The application of B-spline (Basis spline) surface to the estimation of the lake bottom topography is described.By using the analysis of a bivariate B-spline, the shape of the lake bottom ...
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Variational methods for geometric statistical inference
... The results of this thesis therefore concern the asymptotics for a selection of statistical inference problems. We construct our estimates as the minimizer of an appropriate functional and look at what happens in the ...
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Lévy processes induced by Dirichlet (B-) splines: modelling multivariate asset price dynamics
... We consider a new class of processes, called LG processes, defined as linear combinations of independent gamma processes. Their distribu- tional and path-wise properties are explored by following their relation to ...
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Solving a nonlinear inverse system of Burgers equations
... • Numerical results show that our approximations of 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, ...
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GA Based Rational cubic B-Spline Representation for Still Image Interpolation
... In this section the construction method of local support based rational spline presented by Gregory and Sarfraz (1990) is reviewed and extended, in some way, to its one and two dimensional interpolatory functions. ...
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DARPA Urban Challenge, a C++ based platform for testing Path Planning Algorithms: An application of Game Theory and Neural Networks
... The Spline class has not been implemented, however Windows does provide readymade classes for spline extrapolation when given beginning and end points and a number of points over which to draw ...the ...
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Spline Solution for the Nonlinear Schrödinger Equation
... exponential spline method [16], spline methods [17] [18], split-step orthogonal spline collocation method [19], a high-order and accurate method [20], linearly implicit conservative scheme ...
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R-splines for response surface Modeling
... plate spline estimator of f (Wahba, 1990) is the minimizer of the sum of the mean-squared error and the roughness penalty which is weighted by a smoothing ...plate spline can be found in the ...plate ...
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Application of Nonparametric Quantile Regression to Estimating Value at Risk.
... smoothing spline is a simpler procedure than the knots selections procedure for regression spline because it only involves an optimization of one parameter in (0, ...smoothing spline models, the ...
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