spline function

  • 11Nonuniform rational B-spline — Non uniform rational B spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. History Development of NURBS (Non Uniform Rational Basis Spline) began in the 1950s by engineers …

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  • 12Polyharmonic spline — In mathematics, polyharmonic splines are used for function approximation and data interpolation.They are very useful for interpolation of scattered datain many dimensions.Polyharmonic splines are a special case of radial basis functions andare… …

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  • 13Non-uniform rational B-spline — Three dimensional NURBS surfaces can have complex, organic shapes. Control points influence the directions the surface takes. The outermost square below delineates the X/Y extents of the surface …

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  • 14Cubic Hermite spline — In the mathematical subfield of numerical analysis a cubic Hermite spline (also called cspline), named in honor of Charles Hermite, is a third degree spline with each polynomial of the spline in Hermite form. The Hermite form consists of two… …

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  • 15Smoothing spline — The smoothing spline is a method of smoothing, or fitting a smooth curve to a set of noisy observations.DefinitionLet (x i,Y i); i=1,dots,n be a sequence of observations, modeled by the relation E(Y i) = mu(x i). The smoothing spline estimate… …

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  • 16Radial basis function — A radial basis function (RBF) is a real valued function whose value depends only on the distance from the origin, so that phi(mathbf{x}) = phi(||mathbf{x}||); or alternatively on the distance from some other point c , called a center , so that… …

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  • 17Perfect spline — In the mathematical subfields function theory and numerical analysis, a univariate polynomial spline of order m is called a perfect spline if its m th derivative is equal to +1 or 1 between knots and changes its sign at every knot.The term was… …

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  • 18Cubic function — This article is about cubic equations in one variable. For cubic equations in two variables, see elliptic curve. Graph of a cubic function with 3 real roots (where the curve crosses the horizontal axis where y = 0). It has 2 critical points. Here …

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  • 19numerical analysis — the branch of mathematics dealing with methods for obtaining approximate numerical solutions of mathematical problems. [1925 30] * * * Branch of applied mathematics that studies methods for solving complicated equations using arithmetic… …

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  • 20Momel — ( Mo delling mel ody) is an algorithm developed by Daniel Hirst [http://en.wikipedia.org/wiki/User:DanielHirst/bio] [ [http://www.lpl.univ aix.fr/ hirst Daniel HIRST ] ] and Robert Espesser at the CNRS Laboratoire Parole et Langage… …

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