Abstract
In this paper, we propose our new method to recognize matrices including repeat symbols and area symbols. The method consists of 4 parts; detection of matrices, segmentation of elements, construction of networks and analysis of the matrix structure. In the construction of networks, we regard a matrix as a network of elements connected each other by links representing their relative relations, and consider its horizontally projected network and vertically projected one. In the analysis, we obtain the areas of variable block pattern elements generating the minimum rectangular area of the matrix by solving the simultaneous system of equations given by the two projected networks. We also propose a format to represent the structure of matrices to output the result of the matrix recognition.
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References
D. Blostein and A. Grbavic, Recognition of Mathematical Notation, Handbook of Character Recognition and Document Analysis, Eds. H. Buke, and P. Wang, Word Scientific, 1997.
M. Okamoto and H. Twaakyondo, Structure analysis and recognition of mathematical expressions, Proc. 3rd Int. Conf. on Doc. Anal. and Recog., Wontreal, pp. 430–437, 1995.
Y. Eto, M. Sasai and M. Suzuki, Mathematical formula recognition using virtual link network, Proc. 6th Int. Conf. on Doc. Anal. and Recog., Seattle, pp. 430–437, 2001.
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© 2002 Springer-Verlag Berlin Heidelberg
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Toshihiro, K., Masakazu, S. (2002). A Recognition Method of Matrices by Using Variable Block Pattern Elements Generating Rectangular Area. In: Blostein, D., Kwon, YB. (eds) Graphics Recognition Algorithms and Applications. GREC 2001. Lecture Notes in Computer Science, vol 2390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45868-9_28
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DOI: https://doi.org/10.1007/3-540-45868-9_28
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