Towards an Observer-oriented Theory of Shape Comparison
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Date
2016
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
In this position paper we suggest a possible metric approach to shape comparison that is based on a mathematical formalization of the concept of observer, seen as a collection of suitable operators acting on a metric space of functions. These functions represent the set of data that are accessible to the observer, while the operators describe the way the observer elaborates the data and enclose the invariance that he/she associates with them. We expose this model and illustrate some theoretical reasons that justify its possible use for shape comparison.
Description
@inproceedings{10.2312:3dor.20161080,
booktitle = {Eurographics Workshop on 3D Object Retrieval},
editor = {A. Ferreira and A. Giachetti and D. Giorgi},
title = {{Towards an Observer-oriented Theory of Shape Comparison}},
author = {Frosini, Patrizio},
year = {2016},
publisher = {The Eurographics Association},
ISSN = {1997-0471},
ISBN = {978-3-03868-004-8},
DOI = {10.2312/3dor.20161080}
}