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Abstract

In this chapter we will consider some least squares problems, that arise in quality control in manufacturing using coordinate measurement techniques [4], [5]. In mass production machines are producing parts, and it is important to know, if the output satisfies the quality requirements. Therefore some sample parts are usually taken out of the production line, measured carefully and compared with the nominal features. If they do not fit the specified tolerances, the machine may have to be serviced and adjusted to produce better parts.

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References

  1. G. Geise und S. Schipke Ausgleichsgerade,-kreis,-ebene und-kugel im Raum, Mathematische Nachrichten, 62, 1974.

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  2. G.H. Golub and Ch. Van Loan, Matrix Computations. 2nd ed., John Hopkins University Press, Baltimore, 1989.

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  3. H. Späth, Orthogonal least squares fitting with linear manifolds. Numer. Math., 48, 1986, pp. 441–445.

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  5. H.J. Warnecke und W. Dutschke, Fertigungsmesstechnik, Springer, Berlin, 1984.

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© 2004 Springer-Verlag Berlin Heidelberg

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Gander, W., von Matt, U. (2004). Some Least Squares Problems. In: Solving Problems in Scientific Computing Using Maple and MATLAB®. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18873-2_6

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  • DOI: https://doi.org/10.1007/978-3-642-18873-2_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21127-3

  • Online ISBN: 978-3-642-18873-2

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