Abstract
In statistical shape analysis, curve matching is often used to find correspondences between the sample points of a curve image and those of another curve image by using a dissimilarity measure of curve images. In this paper, we present a novel dissimilarity measure of curve images to be used in curve matching, together with a way of distributing sample points on each curve image. We prove that the dissimilarity measure has an asymptotic guarantee for finding a part of a curve image which is similar to a part of another one, with their respective sample points.
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References
Dryden, I.L., Mardia, K.V.: Statistical Shape Analysis. Wiley series in probability and mathematical statistics. Wiley, Chichester (1998)
Gdalyahu, Y., Weinshall, D.: Flexible syntactic matching of curves and its application to automatic hierarchical classification of silhouettes. IEEE Transactions on Pattern Analysis and Machine Intelligence 21(12), 1312–1328 (1999)
Ablameyko, S., Pridmore, T.: Machine interpretation of line drawing images: technical drawings, maps, and diagrams. Springer, Berlin (2000)
Sebastian, T.B., Klein, P.N., Kimia, B.B.: On aligning curves. IEEE Transactions on Pattern Analysis and Machine Intelligence 25(1), 116–125 (2003)
Sebastian, T.B., Klein, P.N., Kimia, B.B.: Recognition of shapes by editing their shock graphs. IEEE Transactions on Pattern Analysis and Machine Intelligence 24(5), 550–571 (2004)
Srivastava, A., Joshi, S.H., Mio, W., Liu, X.: Statistical shape analysis: Clustering, learning, and testing. IEEE Transactions on Pattern Analysis and Machine Intelligence 27(4), 590–602 (2005)
Belongie, S., Mori, G., Malik, J.: Matching with shape contexts. In: Krim, H., Yezzi Jr., A. (eds.) Statistics and Analysis of Shapes. Modeling and Simulation in Science, Engineering and Technology, pp. 81–105. Birkhäuser, Boston (2006)
Manay, S., Cremers, D., Hong, B.W., Yezzi Jr., A.J., Soatto, S.: Integral invariants for shape matching. IEEE Transactions on Pattern Analysis and Machine Intelligence 28(10), 1602–1618 (2006)
Powell, M.J.D.: An optimal way of moving a sequence of points onto a curve in two dimensions. Computational Optimization and Applications 13(1–3), 163–185 (1999)
Mokhtarian, F., Mackworth, A.K.: A theory of multiscale, curvature-based shape representation for planar curves. IEEE Transactions on Pattern Analysis and Machine Intelligence 14(8), 789–805 (1992)
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Iwata, K., Hayashi, A. (2009). Sampling Curve Images to Find Similarities among Parts of Images. In: Köppen, M., Kasabov, N., Coghill, G. (eds) Advances in Neuro-Information Processing. ICONIP 2008. Lecture Notes in Computer Science, vol 5506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02490-0_81
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DOI: https://doi.org/10.1007/978-3-642-02490-0_81
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02489-4
Online ISBN: 978-3-642-02490-0
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