A Circle Fitting-based Method for Computing Parameters of Circular Arc in
Scanning Engineering Drawing
Abstract:
Arc segmentation is quite a challenging field in Graphics Recognition and the computation of the coordinates of centers and the radii of circular arcs is a crucial problem which has drawn much attention. Therefore this paper mainly discusses the application of circle fitting skill in scanning engineering drawings to determine correct coordinates of centers and radii. At first we should choose appropriate seed points and improve circle fitting algorithm of Instrumental Variable Estimator (IVE). Then we combine seed points and the improved IVE (IIVE) algorithm to calculate coordinates of centers and radii of circular arcs. In experimental section, the performance of IIVE and other two methods are compared by using classical experimental data and the coordinates of centers and radii are computed by employing the Arc Segmentation contest data. The results show that the proposed algorithm is very effective and efficient and the causes of the unsatisfactory results are analyzed.
How to cite this article
Zili Zhang, Xuan Wang and Muhammad Waqas Anwar, 2013. A Circle Fitting-based Method for Computing Parameters of Circular Arc in
Scanning Engineering Drawing. Information Technology Journal, 12: 5853-5858.
REFERENCES
Bresenham, J.E., 1965. Algorithm for computer control of a digital plotter. IBM Syst. J., 4: 25-30.
CrossRef Direct Link
Chan, Y.T., B.H. Lee and S.M. Thomas, 2000. Unbiased estimates of circle parameters. J. Optim. Theory Appl., 106: 49-60.
CrossRef
Dori, D., 1995. Vector-based arc segmentation in the machine drawing understanding system environment. IEEE Trans. Pattern Anal. Mach. Intell., 17: 1057-1068.
CrossRef Direct Link
De Guevara, I.L., J. Munoz, O.D. de Cozar and E.B. Blazquez, 2011. Robust fitting of circle arcs. J. Math. Imaging Vision, 40: 147-161.
CrossRef
Hilaire, X. and K. Tombre, 2006. Robust and accurate vectorization of line drawings. IEEE Trans. Pattern Anal. Mach. Intell., 28: 890-904.
CrossRef
Kanatani, K., 2008. Statistical optimization for geometric fitting: Theoretical accuracy bound and high order error analysis. Int. J. Comp. Vision, 80: 167-188.
CrossRef
Liu, W.Y., 2004. Report of the arc segmentation contest. Lect. Notes Comput. Sci., 3088: 364-367.
CrossRef
Liu, W.Y. and D. Dori, 1998. Incremental arc segmentation algorithm and its evaluation. IEEE Trans. Pattern Anal. Mach. Intell., 20: 424-431.
CrossRef
Robinson, S.M., 1961. Fitting spheres by the method of least squares. Commun. Assoc. Compute. Mach., 4: 491-491.
CrossRef
Song, J.Q., M.R. Lyu and S.J. Cai, 2004. Effective multiresolution arc segmentation: Algorithms and performance evaluation. IEEE Trans. Pattern Anal. Mach. Intell., 26: 1491-1506.
CrossRef
Umbach, D. and K.N. Jones, 2003. A few methods for fitting circles to data. IEEE Trans. Instrum. Meas., 523: 1881-1885.
CrossRef
© Science Alert. All Rights Reserved