Istituto di Scienza e Tecnologie dell'Informazione     
Moroni D., Salvetti M., Salvetti O. Multi-scale representation and persistency for shape description. In: MDA 2008 - Advances in Mass Data Analysis of Images and Signals in Medicine, Biotechnology, Chemistry and Food Industry. Third International Conference (Leipzig, Germany, 14 July 2008). Proceedings, pp. 123 - 138. P.Perner, O. Salvetti (eds.). (Lecture Notes in Artificial Intelligence, vol. 5108). Springer, 2008.
Extraction, organization and exploitation of topological features are emerging topics in computer vision and graphics. However, such kind of features often exhibits weak robustness with respect to small perturbations and it is often unclear how to distinguish truly topological features from topological noise. In this paper, we present an introduction to persistence theory, which aims at analyzing multi-scale representations from a topological point of view. Besides, we extend the ideas of persistency to a more general setting by defining a set of discrete invariants.
URL: http://www.springerlink.com/content/w0463121u535/?p=dd7562f07b124ff3b2661dce5b352a77&pi=0
DOI: 10.1007/978-3-540-70715-8_11
Subject Algebraic Topology
Shape Analysis
Persistency Theory
I.2.10 Vision and Scene Understanding
I.4.7 Feature Measurement

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