| Abstract from DBPedia | 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. In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable. It is often required to interpolate; that is, estimate the value of that function for an intermediate value of the independent variable. A closely related problem is the approximation of a complicated function by a simple function. Suppose the formula for some given function is known, but too complicated to evaluate efficiently. A few data points from the original function can be interpolated to produce a simpler function which is still fairly close to the original. The resulting gain in simplicity may outweigh the loss from interpolation error and give better performance in calculation process.内挿（ないそう、英: interpolation）や補間（ほかん）とは、ある既知の数値データ列を基にして、そのデータ列の各区間の範囲内を埋める数値を求めること、またはそのような関数を与えること。またその手法を内挿法（英: interpolation method）や補間法という。対義語は外挿や補外。 (Source: http://dbpedia.org/resource/Interpolation) |
