Abstract
Structural analysis and description depend on the topological structure of the shape, and therefore, they are sensitive to discontinuous transformations which change the topology of the shape. In this paper, we give a complete analysis of the a priori effects of some commonly occurring discontinuous transformations. Some systematic transformation laws have been obtained based on the shape description in terms of quasi-convexity/concavity and quantized directional features. We mention some applications of the analysis.
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H. Nishida, “Structural feature extraction using multiple bases,” Computer Vision and Image Understanding, vol. 62, no. 1, pp. 78–89, 1995.
H. Nishida, “Curve description based on directional features and quasi-convexity/ concavity,” Pattern Recognition, vol. 28, no. 7, 1995.
H. Nishida, “Automatic construction of structural models incorporating discontinuous transformations,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 18, no. 4, 1996.
H. Nishida, “A structural model of curve deformation by discontinuous transformations,” Graphical Models and Image Processing, vol. 58, no. 2, 1996.
H. Nishida and S. Mori, “Algebraic description of curve structure,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 14, no. 5, pp. 516–533, 1992.
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© 1996 Springer-Verlag Berlin Heidelberg
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Nishida, H. (1996). A structural analysis of curve deformation by discontinuous transformations. In: Perner, P., Wang, P., Rosenfeld, A. (eds) Advances in Structural and Syntactical Pattern Recognition. SSPR 1996. Lecture Notes in Computer Science, vol 1121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61577-6_28
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DOI: https://doi.org/10.1007/3-540-61577-6_28
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