Context. The problem of automatic verification of the legitimacy of the export of works of art is considered.
Objective. A method is proposed for automatically determining the age of a painting from a digital photograph using a classification that is performed by an intelligent decision-making system.
Method. It is proposed to use the attribute of picture year of creation as the main criterion for making a decision during the customs check of exports legitimacy. Instead of a long and expensive museum examination, photographing works of art in customs conditions and processing photos using a set of descriptors is used. The set of descriptors is proposed, include local binary patterns, their color modification, Haralik’s texture features, the first four moments, Tamura’s texturt features, SIFT descriptor. The data obtained as a result of descriptors action give the values of several dozen private attributes. They form data vectors, which are then concatenated into a generalized object description vector. In the feature space thus created, automatic classification by weighted k-nearest neighbors is performed. The proposed algorithm calculates the distance between objects in a multidimensional space of attribute values and assigns new objects to already formed classes. The criterion for creating classes is the age of the painting from the existing database. As a measure of the objects proximity, it is proposed to use the Euclid and Minkowski metrics. The calculation of weights for the proposed classification algorithm is performed by the Fisher method.
Results. The effectiveness of the proposed method was investigated in the course of experiments with an image database containing photos of paintings by world, European and Ukrainian artists. Algorithm configuration parameters that provide high classification accuracy are found.
Conclusions. The performed experiments have shown the effectiveness of the selected descriptors for the formation of vector descriptions of images of paintings. The greatest accuracy is provided by descriptor merging, which reveals significant differences in the structural properties of images. This approach to the description of objects in combination with the proposed classification algorithm and the chosen main criterion ensures high accuracy of the obtained solutions. The direction of further research may include the use of convolutional neural networks to improve the accuracy of classification under the condition of a static database.
At this stage, we developed and implemented the educational website www.LitvinOG.com, designed for a wide audience of students who study the following disciplines and use modern ICT based on computer mathematics systems, as well as curators of groups, parents of students interested in the success and progress of students.The site uses Google Drive as an Internet file storage service. Using this type of technology causes activity of students, interest in mastering the courses, that is, this approach to education makes it attractive to young people (students).The site presents the materials of the courses "Mathematical Analysis", "Linear Algebra and Analytic Geometry", "Algebra and Geometry" for students of specialties "Software Engineering", "Applied Mathematics", "System Analysis", "Computer Science". All teaching materials (methodical materials, lecture notes) are presented, as well as current and final success of students. The most recent section is implemented in the Google Drive cloud service.
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