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|Home Mathematics Splines
|See also: Linear Regression
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Cubic splines are a common class of functions which are used in many interpolation applications. The basic idea is to fit cubic polynomials between two neighboring data points while ensuring that certain additional conditions are fulfilled (smooth first and second derivative). Furthermore, the concept of splines can be extended to approximations as well, if we introduce a small extension which results in smoothed splines. A smoothed spline degenerates to a simple linear regression if the smoothing factor approaches its maximum.