Extraction of Critical Points and Nets Based on Discrete Gradient Vector Field

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Date
2002
Journal Title
Journal ISSN
Volume Title
Publisher
Eurographics Association
Abstract
In this paper we address the problem of representing the topology of discrete scalar fields defined on triangulated domains. To this aim, we use the notion of discrete gradient vector field that we have introduced in [4] to classify the critical points of a scalar field defined over a two-dimensional domain that generalizes the nature of critical points in the differentiable case. Then we sketch an algorithm for extracting a critical net in the discrete case.
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@inproceedings{
:10.2312/egs.20021041
, booktitle = {
Eurographics 2002 - Short Presentations
}, editor = {}, title = {{
Extraction of Critical Points and Nets Based on Discrete Gradient Vector Field
}}, author = {
De Floriani, Leila
and
Mesmoudi, Mohammed Mostefa
and
Danovaro, Emanuele
}, year = {
2002
}, publisher = {
Eurographics Association
}, ISSN = {
1017-4656
}, ISBN = {}, DOI = {
/10.2312/egs.20021041
} }
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