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Summary Of: Interpolation
Interpolation is a specific case of curve fitting... A different problem which is closely related to interpolation is the approximation of a complicated function by a simple function... but depending on the problem domain and the interpolation method used the gain in simplicity might offset the error... The classical results about interpolation of operators are the... An interpolation of a finite set of points on an epitrochoid... An interpolation of a finite set of points on an epitrochoid... An interpolation of a finite set of points on an... The simplest form of interpolation is to take the mean average of... This will give the same result as linear interpolation evaluated at the midpoint... Interpolation provides a means of estimating the function at intermediate points... The simplest interpolation method is to locate the nearest data value... linear interpolation takes two data points... Linear interpolation is quick and easy... The following error estimate shows that linear interpolation is not very precise... including polynomial interpolation and spline interpolation... Polynomial interpolation is a generalization of linear interpolation... The interpolation error is proportional to the distance between the data points to the power... we see that polynomial interpolation solves all the problems of linear interpolation... polynomial interpolation also has some disadvantages... polynomial interpolation may not be so exact after all... Remember that linear interpolation uses a linear function for each of intervals... spline interpolation incurs a smaller error than linear interpolation and the interpolant is smoother... Other forms of interpolation can be constructed by picking a different class of interpolants... is the interpolation of functions of more than one variable... Interpolation and extrapolation with a regular grid DEM... Encyclodia Page On: Interpolation
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