Computing the Discrete Compactness of Orthogonal Pseudo-Polytopes via Their ð ‘› D-EVM Representation

Ricardo Pérez-Aguila

Mathematical Problems in Engineering, 2010, vol. 2010, 1-28

Abstract:

This work is devoted to present a methodology for the computation of Discrete Compactness in ð ‘› -dimensional orthogonal pseudo-polytopes. The proposed procedures take in account compactness' definitions originally presented for the 2D and 3D cases and extend them directly for considering the ð ‘› D case. There are introduced efficient algorithms for computing discrete compactness which are based on an orthogonal polytopes representation scheme known as the Extreme Vertices Model in the ð ‘› -Dimensional Space ( ð ‘› D-EVM). It will be shown the potential of the application of Discrete Compactness in higher-dimensional contexts by applying it, through EVM-based algorithms, in the classification of video sequences, associated to the monitoring of a volcano's activity, which are expressed as 4D orthogonal polytopes in the space-color-time geometry.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:598910

DOI: 10.1155/2010/598910

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