View More View Less
  • 1 Kocaeli University Engineering Faculty, Geodesy and Photogrammetry Engineering Department Kocaeli 41380 Turkey
Restricted access

This paper presents a new approach for precision estimation for algebraic ellipse fitting based on combined least squares method. Our approach is based on coordinate description of the ellipse geometry to determine the error distances of the fitting method. Since it is an effective fitting algorithm the well-known Direct Ellipse Fitting method was selected as an algebraic method for precision estimation. Once an ellipse fitted to the given data points, algebraic distance residuals for each data point and fitting accuracy can be computed. Generally, the adopted approach has revealed geometrical aspect of precision estimation for algebraic ellipse fitting. The experimental results revealed that our approach might be a good choice for precision estimation of the ellipse fitting method.

  • Ahn S J, Rauh W, Warnecke H S 2001: Pattern Recognition, 34, 2283–2303.

    Warnecke H. S. , '' (2001 ) 34 Pattern Recognition : 2283 -2303.

  • Cui Y, Weng J, Reynolds H 1996: Pattern Recognition Lett., 17, 309–316.

    Reynolds H. , '' (1996 ) 17 Pattern Recognition Lett. : 309 -316.

  • Fitzgibbon A W, Pilu M, Fisher R B 1996: In: Proceedings of the 13th International Conference on Pattern Recognition, Vienna, 253–257.

  • Fitzgibbon A W, Pilu M, Fisher R B 1999: IEEE Trans. Pattern Anal. Mach. Intel., 21, 476–480.

    Fisher R. B. , '' (1999 ) 21 IEEE Trans. Pattern Anal. Mach. Intel. : 476 -480.

  • Gander W, Golub G H, Strebel R 1994: BIT, 34, 558–578.

    Strebel R. , '' (1994 ) 34 BIT : 558 -578.

  • Kanatani K 2005: In: Proceedings of the Fifth IEEE International Conference on 3D Digital Imaging and Modeling (3DIM’05), Ottawa, Ontario, Canada, 1550-6185/05.

  • Kanatani K, Sugaya Y 2007: Computational Statistics Data Analysis, 52, 1208–1222.

    Sugaya Y. , '' (2007 ) 52 Computational Statistics Data Analysis : 1208 -1222.

  • Leick A 1995: GPS Satellite Surveying. Edition 2, Wiley-Interscience, New York, Series Volume, 103–151.

    Leick A. , '', in GPS Satellite Surveying , (1995 ) -.

  • MatWorks. Matlab Package. http://www.mathworks.com

  • Pilu M, Fitzgibbon A W, Fisher R B 1996: In: Proc. IEEE ICIP, Lausanne, Switzerland

  • Rosin P L 1996: Graphical Models Image Process, 58, 494–502.

    Rosin P. L. , '' (1996 ) 58 Graphical Models Image Process : 494 -502.

  • Safaee-Rad R, Tchoukanov I, Benhabib B, Smith K C 1991: Image Understanding, 54, 259–274.

    Smith K. C. , '' (1991 ) 54 Image Understanding : 259 -274.

  • Spath H 1997: Comput. Stat., 12, 329–341.

    Spath H. , '' (1997 ) 12 Comput. Stat. : 329 -341.

  • Yu J, Kulkarni S R, Poor H V 2012: Pattern Recognition Letters, 33, 492–499.

    Poor H. V. , '' (2012 ) 33 Pattern Recognition Letters : 492 -499.

  • Impact Factor (2019): 0.909
  • Scimago Journal Rank (2019): 0.337
  • SJR Hirsch-Index (2019): 18
  • SJR Quartile Score (2019): Q3 Building and Construction
  • SJR Quartile Score (2019): Q3 Geology
  • SJR Quartile Score (2019): Q3 Geophysics
  • Impact Factor (2018): 0.942
  • Scimago Journal Rank (2018): 0.314
  • SJR Hirsch-Index (2018): 17
  • SJR Quartile Score (2018): Q3 Geology
  • SJR Quartile Score (2018): Q3 Geophysics

AGG Editorial Office
Address: P.O. Box 5, H-9401 Sopron, Hungary
Phone: (36 99) 508 340
Fax: (36 99) 508 355
E-mail: actagg@ggki.hu