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New mathematical and algorithmic schemes for pattern classification with application to the identification of writers of important ancient documents

机译:用于模式分类的新数学和算法方案,应用于重要古代文献作家的识别

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摘要

In this paper, a novel approach is introduced for classifying curves intoproper families, according to their similarity. First, a mathematical quantitywe call plane curvature is introduced and a number of propositions are statedand proved. Proper similarity measures of two curves are introduced and asubsequent statistical analysis is applied. First, the efficiency of the curvefitting process has been tested on 2 shapes datasets of reference. Next, themethodology has been applied to the very important problem of classifying 23Byzantine codices and 46 Ancient inscriptions to their writers, thus achievingcorrect dating of their content. The inscriptions have been attributed to tenindividual hands and the Byzantine codices to four writers.
机译:在本文中,引入了一种新的方法,用于根据它们的相似性进行分类曲线类别。首先,引入了数学量呼叫平面曲率,并证明了许多命题并证明了该命题。介绍了两条曲线的适当相似度测量,并应用了ASUBSequent统计分析。首先,在2个形状的参考数据集上测试了曲线拟合过程的效率。接下来,对他们的作者分类为23byzantine Codices和46个古代铭文的重要问题,从而应用于他们的作家,从而实现了他们内容的正确约主。铭文已归因于四个作家的十一人手和拜占庭权。

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