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rational interpolation

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  • 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

  • Rational motion — In kinematics, the motion of a rigid body is defined as a continuous set of displacements. One parameter motions can be definedas a continuous displacement of moving object with respect to a fixed frame in Euclidean three space ( E 3), where the… …   Wikipedia

  • Rational function — In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. DefinitionsIn the case of one variable, x , a rational function is a function of the form: f(x) = frac{P(x)}{Q(x)}where P and Q are …   Wikipedia

  • Interpolation attack — In cryptography, an interpolation attack is a type of cryptanalytic attack against block ciphers.In the attack, an algebraic function is used to represent an S box. This may be a simple quadratic, or a polynomial or rational function over a… …   Wikipedia

  • Interpolation (computer programming) — In the context of computer animation, interpolation refers to the use of (usually) piecewise polynomial interpolation to draw images semi automatically. For all applications of this type, a set of key points is defined by the graphic artist.… …   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

  • Simple rational approximation — (SRA) is a subset of interpolating methods using rational functions. Especially, SRA interpolates a given function with a specific rational function whose poles and zeros are simple, which means that there is no multiplicity in poles and zeros.… …   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

  • 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

  • Polynomial and rational function modeling — In statistical modeling (especially process modeling), polynomial functions and rational functions are sometimes used as an empirical technique for curve fitting.Polynomial function modelsA polynomial function is one that has the form:y = a… …   Wikipedia

  • List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

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