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Non-linear Least-Squares II: Circle, Sphere, and Cylinder

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Abstract

We provide a method to determine the initial estimates for the center and radius of a circle in this chapter. These initial estimates may then be refined using any one of the iterative algorithms described in the preceding chapter. In this chapter, we also extend on the discussion from the previous chapter to present solution approaches for the problem of determining least-squares best-fit estimates for the sphere and the cylinder.

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References

  • Forbes, A.B. 1989, Least-Squares Best-Fit Geometric Elements, NPL Report DITC 140/89, National Physical Laboratory. Teddington, UK.

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  • Shakarji, C. 1998, ‘Least-squares fitting algorithms of the NIST Algorithm Testing System’, Journal of Research of the NIST, vol. 103, no. 6, pp. 633–641.

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© 2009 Springer London

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(2009). Non-linear Least-Squares II: Circle, Sphere, and Cylinder. In: Computational Surface and Roundness Metrology. Springer, London. https://doi.org/10.1007/978-1-84800-297-5_17

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  • DOI: https://doi.org/10.1007/978-1-84800-297-5_17

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-296-8

  • Online ISBN: 978-1-84800-297-5

  • eBook Packages: EngineeringEngineering (R0)

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