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Algebraic Description of Curve Structure
May 1992 (vol. 14 no. 5)
pp. 516-533

The authors propose a compact and concise method of describing curves in terms of the quasi-topological features and the structure of each singular point. The quasi-topological features are the convexity, loop, and connectivity. The quasi-topological structure is analyzed in a hierarchical way, and algebraic structure is presented explicitly for each representation level. The lower-level representations are integrated into the higher-level one in a systematic way. When a curve has singular points (branch points), the curve is decomposed into components, where each is a simple arc or a simple closed curve, by decomposing each singular point. The description scheme is applied to character recognition.

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Index Terms:
structural pattern recognition; algebraic description; singular point structure; curve decomposition; curve structure; quasi-topological features; convexity; loop; connectivity; branch points; character recognition; pattern recognition; picture processing; topology
H. Nishida, S. Mori, "Algebraic Description of Curve Structure," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 14, no. 5, pp. 516-533, May 1992, doi:10.1109/34.134057
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