On the use of Gromov-Hausdorff Distances for Shape Comparison

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Date
2007
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
It is the purpose of this paper to propose and discuss certain modifications of the ideas concerning Gromov- Hausdorff distances in order to tackle the problems of shape matching and comparison. These reformulations render these distances more amenable to practical computations without sacrificing theoretical underpinnings. A second goal of this paper is to establish links to several other practical methods proposed in the literature for comparing/matching shapes in precise terms. Connections with the Quadratic Assignment Problem (QAP) are also established, and computational examples are presented.
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@inproceedings{
10.2312:SPBG/SPBG07/081-090
, booktitle = {
Eurographics Symposium on Point-Based Graphics
}, editor = {
M. Botsch and R. Pajarola and B. Chen and M. Zwicker
}, title = {{
On the use of Gromov-Hausdorff Distances for Shape Comparison
}}, author = {
Memoli, Facundo
}, year = {
2007
}, publisher = {
The Eurographics Association
}, ISSN = {
1811-7813
}, ISBN = {
978-3-905673-51-7
}, DOI = {
10.2312/SPBG/SPBG07/081-090
} }
Citation