Fractal geometry and multimedia retrieval: a theoretical framework

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Proceedings title3D Image Processing (3DIP) and Applications 2012 Conference Proceedings
Series titleProceedings of SPIE; Volume 8290
Conference3D Image Processing (3DIP) and Applications 2012, San Francisco Airport, Burlingame, California, 22-26 January 2012
SubjectBayesian; distance; distribution; fractal; geometry; indexing; Lagrangian; multimedia; object; probability; retrieval
AbstractThis paper presents a theoretical analysis of the occurrence of fractal geometry within index spaces and discusses the impact for multimedia retrieval. Firstly, we explain how to detect the presence of such a fractal geometry. Then, with the fractal hypothesis in hand, we analyze the impact of this geometry when calculating the distance between indexes and searching for similar multimedia objects. We demonstrate that it is possible to define probability distributions in fractal index space and we present an approach to calculate them. Practical consequences are discussed, with particular emphasis to multimedia retrieval methods based on Bayesian analysis.
Publication date
AffiliationInformation and Communication Technologies; National Research Council Canada
Peer reviewedYes
NPARC number20255956
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Record identifier5ad6b425-48bd-4c37-94fd-597aa8bdf79d
Record created2012-07-10
Record modified2016-05-09
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