Introduction to Digital Level Layers
Identifieur interne : 002676 ( Main/Exploration ); précédent : 002675; suivant : 002677Introduction to Digital Level Layers
Auteurs : Yan Gérard [France] ; Laurent Provot [France] ; Fabien Feschet [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: We introduce the notion of Digital Level Layer, namely the subsets of $\mathbb Z ^d$ characterized by double-inequalities $h_1 \preccurlyeq f(x) \curlyeqprec h_2$ . The purpose of the paper is first to investigate some theoretical properties of this class of digital primitives according to topological and morphological criteria. The second task is to show that even if we consider functions f of high degree, the computations on Digital Level Layers, for instance the computation of a DLL containing an input set of points, remain linear. It makes this notion suitable for applications, for instance to provide analytical characterizations of digital shapes.
Url:
DOI: 10.1007/978-3-642-19867-0_7
Affiliations:
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Clermont 1, Campus des Cézeaux, 63172, Aubière</wicri:regionArea><placeName><region type="region" nuts="2">Auvergne-Rhône-Alpes</region><region type="old region" nuts="2">Auvergne (région administrative)</region><settlement type="city">Aubière</settlement></placeName></affiliation><affiliation></affiliation></author></analytic><monogr></monogr><series><title level="s" type="main" xml:lang="en">Lecture Notes in Computer Science</title><idno type="ISSN">0302-9743</idno><idno type="eISSN">1611-3349</idno><idno type="ISSN">0302-9743</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0302-9743</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: We introduce the notion of Digital Level Layer, namely the subsets of $\mathbb Z ^d$ characterized by double-inequalities $h_1 \preccurlyeq f(x) \curlyeqprec h_2$ . The purpose of the paper is first to investigate some theoretical properties of this class of digital primitives according to topological and morphological criteria. The second task is to show that even if we consider functions f of high degree, the computations on Digital Level Layers, for instance the computation of a DLL containing an input set of points, remain linear. It makes this notion suitable for applications, for instance to provide analytical characterizations of digital shapes.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Auvergne (région administrative)</li><li>Auvergne-Rhône-Alpes</li></region><settlement><li>Aubière</li></settlement></list><tree><country name="France"><region name="Auvergne-Rhône-Alpes"><name sortKey="Gerard, Yan" sort="Gerard, Yan" uniqKey="Gerard Y" first="Yan" last="Gérard">Yan Gérard</name></region><name sortKey="Feschet, Fabien" sort="Feschet, Fabien" uniqKey="Feschet F" first="Fabien" last="Feschet">Fabien Feschet</name><name sortKey="Gerard, Yan" sort="Gerard, Yan" uniqKey="Gerard Y" first="Yan" last="Gérard">Yan Gérard</name><name sortKey="Provot, Laurent" sort="Provot, Laurent" uniqKey="Provot L" first="Laurent" last="Provot">Laurent Provot</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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