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Skew-symmetry detection via invariant signatures

机译:通过不变签名进行偏斜对称检测

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摘要

We propose a new approach to skew-symmetry detection, based on the theory of invariant signatures for planar objects. Invariant signatures associated to object boundaries are generalizations of the curvature versus arclength description of curves, invariant under geometric transformations more complex than the Euclidean ones. We show that symmetries of objects, and hence of closed boundaries, translate into simple structures in the invariant signature functions and are therefore, in principle, readily detectable. (C) 1997 Pattern Recognition Society. Published by Elsevier Science Ltd. [References: 28]
机译:基于平面物体不变特征的理论,我们提出了一种新的斜对称检测方法。与对象边界相关的不变特征是曲线的曲率与弧长描述的概括,在几何变换下不变性比欧几里得的不变。我们证明了对象的对称性,以及由此而来的封闭边界的对称性,在不变的签名函数中转化为简单的结构,因此原则上很容易被检测到。 (C)1997模式识别学会。由Elsevier Science Ltd.发布[参考:28]

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