Least Squares Fitting of Circle and Ellipse

  • Sung Joon Ahn
  • Wolfgang Rauh
  • Berend Oberdorfer
Part of the Informatik aktuell book series (INFORMAT)


The least squares fitting of geometric features to given points minimizes the squares sum of error-of-fit in predefined measures. By the geometric fitting, the error distances are defined with the orthogonal, or shortest, distances from the given points to the geometric feature to be fitted. For the geometric fitting of circle and ellipse, robust algorithms are proposed which are based on the coordinate description of the corresponding point on the circle/ellipse for the given point, where the connecting line of the two points is the shortest path from the given point to the circle/ellipse.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Sung Joon Ahn
    • 1
  • Wolfgang Rauh
    • 1
  • Berend Oberdorfer
    • 1
  1. 1.Fraunhofer Institute for Manufacturing Engineering and Automation IPAStuttgartGermany

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