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Issue No. 05 - May (1992 vol. 14)
ISSN: 0162-8828
pp: 516-533
<p>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.</p>
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

S. Mori and H. Nishida, "Algebraic Description of Curve Structure," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 14, no. , pp. 516-533, 1992.
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