Content-based Description of Multi-dimensional Objects using an Invariant Representation of an Associated Riemannian Space

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DOIResolve DOI: https://doi.org/10.1400/24193
AuthorSearch for: 1
EditorSearch for: Raieli, Roberto; Search for: Innocenti, Perla
Name affiliation
  1. National Research Council of Canada. NRC Institute for Information Technology
FormatText, Article
Journal titleMMIR MultiMedia Information Retrieval: metodologie ed esperienze internazionali di content-based retrieval per l'informazione e la documentazione
ISBN88-901144-9-5
9788890114496
Pages242–256
Abstract
This chapter presents a new theoretical approach for the description of multi-dimensional objects. These objects are characterized by various attributes such as speed, mass density and electromagnetic field distributions. The approach consists of the following steps. Firstly, a tensor is associated with the energy-momentum (mass + motion + field) content of each object. Secondly, a Riemannian space is built from this tensor. Next, a set of invariant quantities is constructed from the Riemannian curvatures associated with the Riemannian space from which a new statistical representation is built. This representation is invariant under arbitrary coordinate transformations and can describe both static and dynamic objects. The proposed approach can be generalized to a large number of different types of object by applying a variational principle.
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PublisherAIDA
LanguageEnglish
NRC numberNRCC 46532
NPARC number5765195
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Record created2009-03-29
Record modified2020-04-17
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