Crawford Amy M, Berry Nicholas S, Carriquiry Alicia L
Department of Statistics Iowa State University Ames Iowa USA.
Berry Consultants Austin Texas USA.
Stat Anal Data Min. 2021 Feb;14(1):41-60. doi: 10.1002/sam.11488. Epub 2020 Nov 24.
Handwritten documents can be characterized by their content or by the shape of the written characters. We focus on the problem of comparing a person's handwriting to a document of unknown provenance using the shape of the writing, as is done in forensic applications. To do so, we first propose a method for processing scanned handwritten documents to decompose the writing into small graphical structures, often corresponding to letters. We then introduce a measure of distance between two such structures that is inspired by the graph edit distance, and a measure of center for a collection of the graphs. These measurements are the basis for an outlier tolerant -means algorithm to cluster the graphs based on structural attributes, thus creating a template for sorting new documents. Finally, we present a Bayesian hierarchical model to capture the propensity of a writer for producing graphs that are assigned to certain clusters. We illustrate the methods using documents from the Computer Vision Lab dataset. We show results of the identification task under the cluster assignments and compare to the same modeling, but with a less flexible grouping method that is not tolerant of incidental strokes or outliers.
手写文档可以通过其内容或书写字符的形状来表征。我们关注的是在法医应用中所做的那样,利用书写形状将一个人的笔迹与来源不明的文档进行比较的问题。为此,我们首先提出一种处理扫描手写文档的方法,将书写分解为小的图形结构,这些结构通常对应于字母。然后,我们引入一种受图编辑距离启发的两个此类结构之间的距离度量,以及一组图形的中心度量。这些度量是一种抗离群值均值算法的基础,该算法基于结构属性对图形进行聚类,从而创建一个用于对新文档进行分类的模板。最后,我们提出一个贝叶斯层次模型,以捕捉作者生成分配到特定聚类的图形的倾向。我们使用计算机视觉实验室数据集中的文档来说明这些方法。我们展示了在聚类分配下识别任务的结果,并与相同建模但分组方法不太灵活且不能容忍偶然笔画或离群值的情况进行比较。