2010 | OriginalPaper | Chapter
Splines
Author : Kenneth Lange
Published in: Numerical Analysis for Statisticians
Publisher: Springer New York
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Splines are used for interpolating functions. Before the advent of computer graphics, a draftsman would draw a smooth curve through a set of points plotted on graph paper by forcing a flexible strip to pass over the points. The strip, made of wood, metal, or plastic, typically was held in place by weights as the draftsman drew along its edge. Subject to passing through the interpolating points, the strip or spline would minimize its stress by straightening out as much as possible. Beyond the terminal points on the left and right, the spline would be straight.