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Algebraic description of curve structure

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2 Author(s)
Nishida, H. ; Ricoh Res. & Dev. Center, Yokohama, Japan ; Mori, S.

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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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:14 ,  Issue: 5 )