Functional Components of Variation in Handwriting

Functional Components of Variation in Handwriting
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笔迹变化的功能成分

DOI:
10.1080/01621459.2000.10473894
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发表时间:
2000
影响因子:
3.7
通讯作者:
James O. Ramsay
James O. Ramsay
中科院分区:
数学1区
文献类型:
--
作者:
James O. Ramsay

文献摘要

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摘要 使用函数数据分析技术来分析中文笔迹样本。目标是 (a) 确定一个能够令人满意地模拟数据动态的微分方程,以及 (b) 使用该模型对取自不同个体的笔迹样本进行分类。经过初步的平滑和配准步骤后,发现一个二阶线性微分方程(其强迫函数很小)可以很好地重建原始脚本记录。该方程还能够捕获复制过程中脚本中的大量变化。交叉验证的分类过程对于分析的样本 100% 有效。
Abstract Functional data analysis techniques are used to analyze a sample of handwriting in Chinese. The goals are (a) to identify a differential equation that satisfactorily models the data's dynamics, and (b) to use the model to classify handwriting samples taken from differential individuals. After preliminary smoothing and registration steps, a second-order linear differential equation, for which the forcing function is small, is found to provide a good reconstruction of the original script records. The equation is also able to capture a substantial amount of the variation in the scripts across replication. The cross-validated classification process is 100% effective for the samples analyzed.