% This function can be used to evaluate objectively the performance of binarization methods for document image.
% December 27th, 2012, By Reza FARRAHI MOGHADDAM and Hossein ZIAEI NAFCHI, Synchromedia Lab, ETS, Montreal, Canada
% May 17th, 2010, By Reza FARRAHI MOGHADDAM, Synchromedia Lab, ETS, Montreal, Canada
% The implemented measures are as follows :
% Fmeasure: (used as one of the measures in "Document Image Binarization Contest" (DIBCO'09) in ICDAR'09)
% Sensitivity: (the same as Recall)
% BCR: The balanced classification rate
% AUC: (The same as BCR)
% BER: The balanced error rate
% SFmeasure: F-measure based on sensitivity and specificity
% GAccuracy: Geometric mean of sens and spec (to be used as the measure in "Quantitative evaluation of binarization algorithms of images of historical documents with bleeding noise" contest in ICFHR'10)
% pFMeasure: pseudo F-Measure
% NRM: Negative rate metric
% PSNR: Peak signal-to-noise ratio
% DRD: Distance reciprocal distortion metric 
% MPM: Misclassification penalty metric 
%  M. Sokolova and G. Lapalme, A systematic analysis of performance
% measures for classification tasks, Information Processing & Management,
% 45, pp. 427-437, 2009. DOI: 10.1016/j.ipm.2009.03.002
%  H. Lu, A. C. Kot, Y. Q. Shi, Distance-Reciprocal Distortion Measure
% for Binary Document Images, IEEE Signal Processing Letters, vol. 11,
% no. 2, pp. 228-231, 2004.
%  D. P. Young, J. M. Ferryman, PETS Metrics: On-Line Performance
% Evaluation Service, ICCCN '05 Proceedings of the 14th International
% Conference on Computer Communications and Networks, pp. 317-324, 2005.%
% temp_obj_eval = objective_evaluation_core(u, u0_GT, u0_skl_GT);
% u is: the input binarized image to be evaluated.
% u0_GT: is the ground-truth binarized image.
% u0_skl_GT: is an optional input for the ground-truth skeleton of u0_GT. If not specified, the skeleton is automatically calculated using the thininng method.
% temp_obj_eval: is the output. The measures can be reached as the fields of temp_obj_eval. For example:
% fprintf('Precision = %9.5f\n', temp_obj_eval.Precision);
Reza Farrahi Moghaddam (2020). Objective evaluation of binarization methods for document images (https://www.mathworks.com/matlabcentral/fileexchange/27652-objective-evaluation-of-binarization-methods-for-document-images), MATLAB Central File Exchange. Retrieved .
thanks a lot for your code
many thanks, I ask about old Pesudo f measure (DIBCO 2012, and DIBCO 2012)
Thank you Sir, Works very well.
sir can u please provide code for how to find bleed through prasent in an document and how to remove it "phase based binarization of ancient document images"
Thanks for the file. It has been very useful to me.
Adding five new measures:
Adding five new measures: