interpolating basis

См. также в других словарях:

• 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

• Newton polynomial — In the mathematical field of numerical analysis, a Newton polynomial, named after its inventor Isaac Newton, is the interpolation polynomial for a given set of data points in the Newton form. The Newton polynomial is sometimes called Newton s… …   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

• 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

• 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

• Computational fluid dynamics — Computational physics Numerical analysis  …   Wikipedia

• Lagrange polynomial — In numerical analysis, a Lagrange polynomial, named after Joseph Louis Lagrange, is the interpolation polynomial for a given set of data points in the Lagrange form. It was first discovered by Edward Waring in 1779 and later rediscovered by… …   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

• Pixel art scaling algorithms — are image scaling algorithms specifically designed to upsample (enlarge) low resolution pixel and line art that contains thin lines, solid areas of colour rather than gradient fills or shading, and has not been anti aliased.MotivationTwo standard …   Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium