Interpolation

This document discusses different methods for interpolation and approximation, including polynomial interpolation, spline interpolation, and parametric interpolation. Polynomial interpolation finds an interpolating polynomial that passes through discrete data points. It can be done using Lagrange polynomials or by solving a Vandermonde system of equations. Spline interpolation fits piecewise polynomials over intervals defined by interpolation nodes, ensuring smoothness at interval boundaries. Parametric interpolation treats variables equally by interpolating as functions of a parameter.