Interpolation is the process of estimation of an unknown data by analyzing the given reference data. For the given data, (say ‘y’ at various ‘x’ in tabulated form), the ‘y’ value corresponding to ‘x’ values can be found by interpolation. Frutiger Bold Italic Font more. In case of equally spaced ‘x’ values, a number of interpolation methods are available such as the Newton’s forward and backward interpolation, Gauss’s forward and backward interpolation,, etc.

Polynomial Interpolation (Com S 477/577 Notes). The above is a linear interpolation problem if. Bilinear interpolation - Wikipedia. The four red dots show the data. Full-degree polynomial interpolation if ˚(x) is globally polynomial. Piecewise polynomial if ˚(x) is a collection of local polynomials: Piecewise linear or quadratic Hermite interpolation Spline interpolation Trigonometric if ˚(x) is a trigonometric polynomial (polynomial of sines and.

But, all these methods fail when the spacing of ‘x’ is unequal. In such case, Lagrange interpolation is one of the best options.

The source code given below in C program for Lagrange interpolation is for interpolating data in which augments are unequally spaced or in cases where it is not possible to fit the curve of given data. In the code, interpolation is done by following the steps given below: • As the program is executed, it first asks for number of known data. Katy Perry-part Of Me. • Then, values of x and corresponding y are asked.