Abstract
The paper focuses on the extraction and modelling of circular objects embedded up to any extent. The proposed method is inspired from the continuous Level Set theory and consists of two stages. First, by using the local curvature and the normal vector on the boundaries are detected the shape parameters of the sought circular objects. Second, an area-based matching procedure detects such cases where several identified circles correspond to only one, partially ocluded object.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hough, P.V.C.: Methods and means for recognizing complex patterns. US Pattent 3069654 (1962)
Atiquzzaman, M.: Coarse-to-fine search technique to detect circles in images. International Journal of Advanced Manufacturing Technology 15, 96–102 (1999)
Meyer, F.: Cytologie quantitative et morphologie mathématique. PhD thesis, Ecole des Mines de Paris (1979)
Talbot, H., Appleton, B.: Elliptical distance transform and the object splitting problem. In: ISMM, Australia (2002)
Lindeberg, T.: Scale-Space Theory In Computer Vision. Kluwer Academic Publishers, Monograph (1994)
Zhang, Y., Paik, J., Koschan, A., Abidi, M.A.: A simple and efficient algorithm for part decomposition of 3-d triangulated models based on curvature analysis. In: ICIP 2002, Rochester, N.Y., USA, vol. III, pp. 273–276 (2002)
Fitzgibbon, A., Pilu, M., Fisher, R.: Direct least square fitting of ellipses. IEEE Transactions on Pattern Analysis and Machine Intelligence 21, 476–480 (1999)
Gander, W., Golub, G.H., Strebel, R.: Least-squares fitting of circles and ellipses. In: Editorial board Bulletin Belgian Mathematical Society, ed.: Numerical analysis (in honour of Jean Meinguet), pp. 63–84 (1996)
Werman, M., Keren, D.: A bayesian method for fitting parametric and nonparametric models to noisy data. IEEE Transactions on Pattern Analysis and Machine Intelligence 23, 528–534 (2001)
Sethian, J.: Level Set Methods. Cambridge University Press, Cambridge (1996)
Siddiqi, K., Kimia, B., Shu, C.W.: Geometric shock-capturing ENO schemes for subpixel interpolation, computation and curve evolution. Graphical models and image processing: GMIP 59, 278–301 (1997)
Osher, S., Shu, C.W.: High-order Essentially Non-oscillatory schemes for Hamilton- Jacobi equations. SIAM Journal of Numerical Analysis 28, 907–922 (1991)
Sapiro, G.: Geometric Partial Differential Equations and Image Analysis. Cambridge University Press, Cambridge (2000)
Leymarie, F., Levine, M.D.: Curvature morphology. Technical Report TR-CIM-89- 1, Computer Vision and Robotics Laboratory, McGill University, Montreal, Quebec, Canada (1989)
Kimia, B., Siddiqi, K.: Geometric heat equation and nonlinear diffusion of shapes and images. Computer Vision and Image Understanding: CVIU 64, 305–322 (1996)
Siddiqi, K., Kimia, B.: Parts of visual form: Computational aspect. IEEE Transactions on Pattern Analysis and Machine Intelligence (1995)
Serra, J.: Image analysis and mathematical morphology. Academic Press, London (1982) ENSMP - CMM Fontainebleau
Dejnožková, E., Dokládal, P.: Asynchronous multi-core architecture for level set methods. In: Proceedings of ICASSP, IEEE, Los Alamitos (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dejnozkova, E., Dokladal, P. (2004). Modelling of Overlapping Circular Objects Based on Level Set Approach. In: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2004. Lecture Notes in Computer Science, vol 3211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30125-7_52
Download citation
DOI: https://doi.org/10.1007/978-3-540-30125-7_52
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23223-0
Online ISBN: 978-3-540-30125-7
eBook Packages: Springer Book Archive