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

  • Authors:

  • D. Arabadjis;F. Giannopoulos;C. Papaodysseus;S. Zannos;P. Rousopoulos;M. Panagopoulos;C. Blackwell

  • Affiliations:

  • National Technical University of Athens, Department of Electrical and Computer Engineering, 9 Heroon Polytechneiou, GR-15773, Athens, Greece;National Technical University of Athens, Department of Electrical and Computer Engineering, 9 Heroon Polytechneiou, GR-15773, Athens, Greece;National Technical University of Athens, Department of Electrical and Computer Engineering, 9 Heroon Polytechneiou, GR-15773, Athens, Greece;National Technical University of Athens, Department of Electrical and Computer Engineering, 9 Heroon Polytechneiou, GR-15773, Athens, Greece;Technical Institute of Chalkida, Department of Automatic Control, Chalkida, Euboea, Greece;Ionian University, Department of Audio & Visual Arts, Corfu, Greece;Furman University, Department of Classics, Greenville, SC, USA

  • Venue:
  • Pattern Recognition
  • Year:
  • 2013

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Abstract

Abstract: In this paper, a novel approach is introduced for classifying curves into proper families, according to their similarity. First, a mathematical quantity we call plane curvature is introduced and a number of propositions are stated and proved. Proper similarity measures of two curves are introduced and a subsequent statistical analysis is applied. First, the efficiency of the curve fitting process has been tested on 2 shapes datasets of reference. Next, the methodology has been applied to the very important problem of classifying 23 Byzantine codices and 46 Ancient inscriptions to their writers, thus achieving correct dating of their content. The inscriptions have been attributed to ten individual hands and the Byzantine codices to four writers.