Cubic Spline

A cubic spline is a mathematical tool used to smoothly connect a series of points with a flexible curve. Imagine plotting several dots on a graph, and then drawing a continuous curve that passes through each point without sharp bends. The cubic spline creates this smooth line using sections of cubic functions (polynomials of degree three), ensuring the transitions between segments are smooth in both position and slope. This technique is widely used in data interpolation and computer graphics to generate natural-looking curves that accurately follow a set of data points.