Distinguishing Mathematics Notation from English Text using Computational Geometry

  • Authors:
  • Derek M. Drake;Henry S. Baird

  • Affiliations:
  • Lehigh University, Bethlehem, PA, USA;Lehigh University, Bethlehem, PA, USA

  • Venue:
  • ICDAR '05 Proceedings of the Eighth International Conference on Document Analysis and Recognition
  • Year:
  • 2005

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Abstract

A trainable method for distinguishing between mathematics notation and natural language (here, English) in images of textlines, using computational geometry methods only with no assistance from symbol recognition, is described. The input to our method is a "neighbor graph" extracted from a bilevel image of an isolated textline by the method of Kise [8]: this is a pruned form of Delaunay triangulation of the set of locations of black connected components. Our method first attempts to classify each vertex and, separately, each edge of the neighbor graph as belonging to math or English; then these results are combined to yield a classification of the entire textline. All three classifiers are automatically trainable. Features for the vertex and edge classifiers were selected semi-manually from a large number in a process driven by training data: this stage is potentially fully automatable. In experiments on images scanned from books and images generated synthetically, this methodology converged in three iterations to a textline classifier with an error rate of less than one percent.