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SEMI-LOCAL PROJECTIVE INVARIANTS FOR THE RECOGNITION OF SMOOTH PLANE CURVES

机译:半光滑投影曲线的半局部投影不变性

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Recently, several methods have been proposed for describing plane, non-algebraic curves in a projectively invariant fashion. These curve representations are invariant under changes in viewpoint and therefore ideally suited for recognition. We report the results of a study where the strengths and weaknesses of a number of semi-local methods are compared on the basis of the same images and edge data. All the methods define a distinguished or canonical projective frame for the curve segment which is used for projective normalisation. In this canonical frame the curve has a viewpoint invariant signature. Measurements on the signature are invariants. All the methods presented are designed to work on real images where extracted data will not be ideal, and parts of curves will be missing because of poor contrast or occlusion. We compare the stability and discrimination of the signatures and invariants over a number of example curves and viewpoints. The paper concludes with a discussion of how the various methods can be integrated within a recognition system. [References: 13]
机译:近来,已经提出了几种以射影不变的方式描述平面,非代数曲线的方法。这些曲线表示在视点变化时是不变的,因此非常适合识别。我们报告了一项研究的结果,其中基于相同的图像和边缘数据比较了许多半局部方法的优缺点。所有方法都为曲线段定义了一个独特的或规范的投影框架,用于投影归一化。在此规范框架中,曲线具有视点不变特征。对签名的测量是不变的。提出的所有方法均适用于无法提取理想数据的真实图像,并且由于对比度差或遮挡,曲线的某些部分将丢失。我们在许多示例曲线和视点上比较了签名和不变式的稳定性和辨别力。本文最后讨论了如何将各种方法集成到识别系统中。 [参考:13]

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