Abstract
This paper addresses the issue of optimal scale selection for circular edge extraction in the context of higher dimensional multiscale edge extraction. Based on a classification of higher dimensional edges according to local curvature, we exemplarily establish a 2-D circular edge model. Through a careful mathematical derivation, we transform the circular edge model from Cartesian coordinates for which the analytical solution is unknown into polar coordinates. Utilizing this edge model we develop a novel theoretical framework for optimal scale selection for circular edge extraction through which the effects of curvature as related to scale can be analyzed. Moreover, we carry out a validation study in order to investigate on the level of principal performance how well the experimental results obtained from application of the developed framework to 2-D synthetic images match the theoretical results.
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References
Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions, 9th edn. Dover Publisher, Mineola (1972)
Bracewell, R.N.: The Fourier Transform and Its Applications, 3rd edn. McGraw-Hill, New York (2000)
Canny, J.F.: A Computational Approach to Edge Detection. IEEE Trans. on Pattern Analysis and Machine Intelligence (PAMI) 8(6), 679–698 (1986)
Drewniok, C.: Objektlokalisation durch Adaption parametrischer Grauwertmodelle und ihre Anwendung in der Luftbildauswertung, Dissertation, Uni. Hamburg (1999)
Elder, J.H., Zucker, S.W.: Local Scale Control for Edge Detection and Blur Estimation. PAMI 20(7), 699–716 (1998)
Korn, A.F.: Toward a Symbolic Representation of Intensity Changes in Images. PAMI 10(5), 610–625 (1988)
Lim, J.Y.: Discrete Scale-Space Formulation and Multiscale Edge Extraction toward Higher Dimensions. Dissertation, Uni. Hamburg (2003) (to be published)
Lim, J.Y., Stiehl, H.S.: A Generalized Discrete Scale-Space Formulation for 2-D and 3-D Signals. In: The 4th Int. Conf. on Scale-Space Theories in Computer Vision, Skye/Scotland, June 10-12 (2003)
Lindeberg, T.: Edge Detection and Ridge Detection with Automatic Scale Selection. Int. Journal of Computer Vision 3(2), 117–154 (1998)
Rohr, K.: Recognizing Corners by Fitting Parametric Models. Int. Journal of Computer Vision 9(3), 213–230 (1992)
Sporring, J., Nielsen, M., Florack, L.M.J., Johansen, P.: Gaussian Scale-Space Theory. Kluwer Academic Publishers, Dordrecht (1997)
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© 2003 Springer-Verlag Berlin Heidelberg
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Lim, JY., Stiehl, H.S. (2003). Optimal Scale Selection for Circular Edge Extraction. In: Michaelis, B., Krell, G. (eds) Pattern Recognition. DAGM 2003. Lecture Notes in Computer Science, vol 2781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45243-0_6
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DOI: https://doi.org/10.1007/978-3-540-45243-0_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40861-1
Online ISBN: 978-3-540-45243-0
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