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interpolating spline

См. также в других словарях:

  • Spline interpolation — See also: Spline (mathematics) In the mathematical field of numerical analysis, spline interpolation is a form of interpolation where the interpolant is a special type of piecewise polynomial called a spline. Spline interpolation is preferred… …   Wikipedia

  • Spline (mathematics) — A quadratic spline composed of six polynomial segments. Between point 0 and point 1 a straight line. Between point 1 and point 2 a parabola with second derivative = 4. Between point 2 and point 3 a parabola with second derivative = 2. Between… …   Wikipedia

  • Smoothing 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… …   Wikipedia

  • Cubic 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… …   Wikipedia

  • Nonuniform 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 …   Wikipedia

  • Non-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 …   Wikipedia

  • B-spline — In the mathematical subfield of numerical analysis, a B spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition. A fundamental theorem states that every spline function of a given… …   Wikipedia

  • Smoothing — In statistics and image processing, to smooth a data set is to create an approximating function that attempts to capture important patterns in the data, while leaving out noise or other fine scale structures/rapid phenomena. Many different… …   Wikipedia

  • GIS (disambiguation) — GIS can refer to:Places and organizations* Garden International School, in Kuala Lumpur, Malaysia * Gippsland Independent Schools, an association of schools in the Gippsland region of Victoria, Australia * Gisborne Airport, Gisborne, New Zealand… …   Wikipedia

  • Runge's phenomenon — red|the Runge function. The blue curve is blue|a 5th order interpolating polynomial (using six equally spaced interpolating points). The green curve is green|a 9th order interpolating polynomial (using ten equally spaced interpolating points). At …   Wikipedia

  • Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …   Wikipedia

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