曲線矩不變性的研究
CURVE MOMENT AND ITS INVARIANTS
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摘要: 本文提出一種新的矩和矩的不變性。它不僅適合于封閉輪廓線的識(shí)別和匹配,而且可以用來進(jìn)行任意曲線段以任意方式組合所構(gòu)成的物體的識(shí)別和匹配,從而拓廣了前人平面矩、付里葉描述子等方法的應(yīng)用范圍。同時(shí)運(yùn)用本文方法更正了前人方法的錯(cuò)誤。最后,為了有效地使用曲線矩,本文提出了曲線矩計(jì)算的快速算法。新算法幾乎不需要乘法,因此實(shí)現(xiàn)簡單,速度快。
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關(guān)鍵詞:
- 模式識(shí)別; 不變矩; 輪廓矩; 曲線矩; Pascal變換
Abstract: The curve moment and curve moment invariants are proposed, which aresuitable to be used not only in the pattern recognition of closed shapes, but also in that of any curved objects. By using the proposed moments, some errors of the known methods are corrected. Finally, a simple algorithm is proposed to calculate curve moments. -
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