cubic spline interpolation

cubic spline interpolation
интерполяция на базе пространственных сплайнов

Англо-русский словарь по машиностроению. . 2011.

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  • 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

  • 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

  • Interpolation — In the mathematical subfield of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. In engineering and science one often has a number of data points, as obtained… …   Wikipedia

  • Interpolation (Mathematik) — In der numerischen Mathematik bezeichnet der Begriff Interpolation eine Klasse von Problemen und Verfahren. Zu gegebenen diskreten Daten (z. B. Messwerten) soll eine stetige Funktion (die sogenannte Interpolante oder Interpolierende)… …   Deutsch Wikipedia

  • Monotone cubic interpolation — In the mathematical subfield of numerical analysis, monotone cubic interpolation is a variant of cubic interpolation that preserves monotonicity of the data set being interpolated. Monotonicity is preserved by linear interpolation but not… …   Wikipedia

  • Bicubic interpolation — In mathematics, bicubic interpolation is an extension of cubic interpolation for interpolating data points on a two dimensional regular grid. The interpolated surface is smoother than corresponding surfaces obtained by bilinear interpolation or… …   Wikipedia

  • Multivariate interpolation — In numerical analysis, multivariate interpolation or spatial interpolation is interpolation on functions of more than one variable. The function to be interpolated is known at given points and the interpolation problem consist of yielding values… …   Wikipedia

  • Lineare Interpolation — In der numerischen Mathematik bezeichnet der Begriff Interpolation eine Klasse von Problemen und Verfahren. Zu gegebenen diskreten Daten (z. B. Messwerten) soll eine kontinuierliche Funktion (die sogenannte Interpolante oder Interpolierende)… …   Deutsch Wikipedia

  • Kubisch Hermitescher Spline — In dem mathematischen Teilgebiet der Numerik wird unter einem kubisch hermiteschen Spline (auch cSpline genannt) ein Spline verstanden der zwischen n Kontrollpunkten interpoliert. Die Kontrollpunkte sind durch n − 1 Segmente verbunden, die aus… …   Deutsch Wikipedia

  • Stairstep interpolation — In image processing, stairstep interpolation is a general method for interpolating the pixels after enlarging an image. The key idea is to interpolate multiple times in small increments using any interpolation algorithm that is better than… …   Wikipedia


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