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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Pavel Lukashkin
Application of the Monge-Kantorovich Transportation Metric in the Analysis of Video Sequences
7
2017
In this paper, we present an algorithm for finding optimal transport plans for successive images from a video sequence in which there is an assembly gluing or, as in our experiments, a sharp change in the frame at some point in time. In this case, the hypothesis was tested that at that moment the optimal transport plan calculated for a pair of images and being a histogram shift by some amount will differ substantially from the others.

It should be noted that the computed values ​​of transport plans come from the task of optimally transferring the values ​​of the tone of one picture to another while preserving the values ​​of brightness and lightness. His theoretical justification is given in another paper and is based on the Monge-Kantorovich transport optimization problem on the circle.

All computer experiments were conducted in Python.

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