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11 - Data Analysis: Curve Fitting and Interpolation

from Part III - Least Squares and Optimization

Published online by Cambridge University Press:  18 February 2021

Kevin W. Cassel
Kevin W. Cassel
Affiliation:
Illinois Institute of Technology
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Summary

Analysis of various data sets can be accomplished using techniques based on least-squares methods.For example, linear regression of data determines the best-fit line to the data via a least-squares approach.The same is true for polynomial and regression methods using other basis functions.Curve fitting is used to determine the best-fit line or curve to a particular set of data, while interpolation is used to determine a curve that passes through all of the data points.Polynomial and spline interpolation are discussed.State estimation is covered using techniques based on least-squares methods.

Keywords

curve fittinglinear regressionpolynomial regressionleast-squares methodsFourier seriespolynomial interpolationspline interpolationstate estimationsingular-value decomposition
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Matrix, Numerical, and Optimization Methods in Science and Engineering , pp. 560 - 593
Publisher: Cambridge University Press
Print publication year: 2021

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