Title
An analysis of the transition proportion for binarization in handwritten historical documents.
Abstract
In this paper, we will present a mathematical analysis of the transition proportion for the normal threshold (NorT) based on the transition method. The transition proportion is a parameter of NorT which plays an important role in the theoretical development of NorT. We will study the mathematical forms of the quadratic equation from which NorT is computed. Through this analysis, we will describe how the transition proportion affects NorT. Then, we will prove that NorT is robust to inaccurate estimations of the transition proportion. Furthermore, our analysis extends to thresholding methods that rely on Bayes rule, and it also gives the mathematical bases for potential applications of the transition proportion as a feature to estimate stroke width and detect regions of interest. In the majority of our experiments, we used a database composed of small images that were extracted from DIBCO 2009 and H-DIBCO 2010 benchmarks. However, we also report evaluations using the original (H-)DIBCO׳s benchmarks.
Year
DOI
Venue
2014
10.1016/j.patcog.2014.02.003
Pattern Recognition
Keywords
Field
DocType
Historical documents,Threshold,Thresholding,Binarization,Transition method,Transition pixel,Normal,Lognormal,Minimum error rate,Otsu,Bayes׳ theory
Data mining,Pattern recognition,Quadratic equation,Artificial intelligence,Thresholding,Log-normal distribution,Mathematics,Bayes' theorem
Journal
Volume
Issue
ISSN
47
8
0031-3203
Citations 
PageRank 
References 
5
0.41
51
Authors
6
Name
Order
Citations
PageRank
Marte A. Ramírez-Ortegón1956.16
Lilia L Ramírez-Ramírez2322.17
Volker Märgner329529.02
Ines Ben Messaoud4596.58
Erik Cuevas5513.92
Raúl Rojas618922.57