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3

Interpolation and Curve Fitting

 Given the n + 1 data points (xi,yi), i = 0,1,…,n, estimate y(x).

# 3.1 Introduction

Discrete data sets, or tables of the form

are commonly involved in technical calculations. The source of the data may be experimental observations or numerical computations. There is a distinction between interpolation and curve fitting. In interpolation we construct a curve through the data points. In doing so, we make the implicit assumption that the data points are accurate and distinct. In contrast, curve fitting is applied to data that contain scatter (noise), usually caused by measurement errors. Here we want ...

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