Robustness and modularity of 2-dimensional size-functions functions - An experimental study
Biasotti S., Cerri A., Giorgi D.
Multidimensional persistence Non-rigid shape analysis
This paper deals with the concepts of 2-dimensional size function and 2-dimensional matching distance. These are two ingredients of (2-dimensional) Size Theory, a geometrical/topological approach to shape analysis and comparison. 2-dimensional size functions are shape descriptors providing a signature of the shapes under study, while the 2-dimensional distance is the tool to compare them. The aim of the present paper is to validate, through some experiments on 3D-models, a computational framework recently introduced to deal with 2-dimensional Size Theory. We will show that the cited framework is modular and robust with respect to noise, non-rigid and non-metric-preserving shape transformations. The proposed framework allows us to improve the ability of 2-dimensional size functions in discriminating between shapes.
Source: LECTURE NOTES IN COMPUTER SCIENCE, vol. 6854, pp. 34-41. Seville, Spain, 29-31/08/2011
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@inproceedings{oai:it.cnr:prodotti:85268,
title = {Robustness and modularity of 2-dimensional size-functions functions - An experimental study},
author = {Biasotti S. and Cerri A. and Giorgi D.},
booktitle = {LECTURE NOTES IN COMPUTER SCIENCE, vol. 6854, pp. 34-41. Seville, Spain, 29-31/08/2011},
year = {2011}
}
0000-0002-6752-6918