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2017 | OriginalPaper | Chapter

22. A Formal Representation of Video Content with the Picture Hyperoperation

Authors : Antonios Kalampakas, Nikolaos Triantafyllou, Katerina Ksystra, Petros Stefaneas

Published in: Algebraic Modeling of Topological and Computational Structures and Applications

Publisher: Springer International Publishing

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Abstract

A hyperoperation on the pixels of a two-dimensional picture is introduced and studied. In this setup pictures are defined as a specific type of rectangular graphs and the picture hyperoperation is given by virtue of the notion of the path inside such a picture. Using this hyperoperation objects can naturally be defined inside pictures in an algebraic way and this concept can be utilized in order to formally represent and compare video content using algebraic semiotics.

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Title: A Formal Representation of Video Content with the Picture Hyperoperation
Authors: Antonios Kalampakas
Nikolaos Triantafyllou
Katerina Ksystra
Petros Stefaneas
Publisher: Springer International Publishing
Book: Algebraic Modeling of Topological and Computational Structures and Applications
Print ISBN: 978-3-319-68102-3

Electronic ISBN: 978-3-319-68103-0

Copyright Year: 2017
DOI: https://doi.org/10.1007/978-3-319-68103-0_22

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