Interpolation

In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points.

special function defined piecewise by polynomials

polynomials used for interpolation

mathematical model

thumb|400px|Example of one-dimensional data interpolation by kriging, with credible intervals. Squares indicate the location of the data. The kriging interpolation, shown in red, runs along the means of the normally distributed credible intervals shown in gray. The dashed curve shows a spline that is smooth, but departs significantly from the expected values given by those means.

in mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points

problem of oscillation at the edges of an interval when using polynomial interpolation

In numerical analysis, a B-spline (short for basis spline) is a type of spline function designed to have minimal support (overlap) for a given degree, smoothness, and set of breakpoints (knots that partition its domain), making it a fundamental building block for all spline functions of that degree. A B-spline is defined as a piecewise polynomial of order n, meaning a degree of n - 1. It is built from sections that meet at these knots, where the continuity of the function and its derivatives depends on how often each knot repeats (its multiplicity). Any spline function of a specific degree can

interpolation of a given data set by the polynomial of lowest possible degree that passes through the points of the dataset

mathematical expression

mathematical method

simple method of multivariate interpolation in one or more dimensions

real-valued function whose value depends only on the distance between the input and some fixed point, which forms a basis for some function space

method for polynomial interpolation over a set of points and corresponding derivatives

spline where each piece is a third-degree polynomial specified in Hermite form: that is, by its values and first derivatives at the end points of the corresponding domain interval

method of evaluating spline curves

interpolation on functions of more than one variable

form of video processing

overview about the trigonometric interpolation

geostatistical method used for interpolation in space

used for polynomial interpolation

method of quaternion rotation