Curve Fitting, Interpolation, and Extrapolation |

In engineering applications, data collected from the field are usually discrete and the physical meanings of the data are not always well known. To estimate the outcomes and, eventually, to have a better understanding of the physical phenomenon, a more analytically controllable function that fits the field data is desirable. The process of finding the coefficients for the fitting function is called The scope of this section is limited to discussing some common interpolation methods including: • The bottom line is, no matter how smooth the interpolation is and how close it is to the raw data, the problem is not completely solved unless the |

Polynomial Interpolation |

Lagrange's classical formula of The method of |

Rational Function Interpolation |

Although the polynomial interpolation is probably the most widely used interpolating method, the |

Cubic Spline Interpolation |

The cubic spline interpolation uses third degree polynomials to connect the data points which often results in strikingly smooth curve fits. |