On 2D constrained discrete rigid transformations
Identifieur interne : 000697 ( Main/Exploration ); précédent : 000696; suivant : 000698On 2D constrained discrete rigid transformations
Auteurs : Phuc Ngo [France] ; Yukiko Kenmochi [France] ; Nicolas Passat [France] ; Hugues Talbot [France]Source :
- Annals of Mathematics and Artificial Intelligence [ 1012-2443 ] ; 2015.
English descriptors
- mix :
Abstract
Rigid transformations are involved in a wide range of digital image processing applications. In such a context, they are generally considered as continuous processes, followed by a digitization of the results. Recently, rigid transformations on Z 2 have been alternatively formulated as a fully discrete process. Following this paradigm, we investigate – from a combinatorial point of view – the effects of pixel-invariance constraints on such transformations. In particular we describe the impact of these constraints on both the combi-natorial structure of the transformation space and the algorithm leading to its generation.
Url:
DOI: 10.1007/s10472-014-9406-x
Affiliations:
- France
- Champagne-Ardenne, Grand Est, Lorraine (région)
- Metz, Nancy, Reims
- Université de Lorraine, Université de Reims Champagne-Ardenne
Links toward previous steps (curation, corpus...)
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- to stream Hal, to step Checkpoint: 000690
- to stream Main, to step Merge: 000693
- to stream Main, to step Curation: 000697
Le document en format XML
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Marne-la-Vallée, Cité Descartes, Bâtiment Copernic, 5 bd Descartes, 77454 Marne-la-Vallée Cedex 2, Inst Gaspard Monge</addrLine><country key="FR"></country></address><ref type="url">http://ligm.u-pem.fr</ref></desc><listRelation><relation active="#struct-301243" type="direct"></relation><relation active="#struct-301545" type="direct"></relation><relation active="#struct-302085" type="direct"></relation><relation active="#struct-304949" type="direct"></relation><relation name="UMR8049" active="#struct-441569" type="direct"></relation></listRelation><tutelles><tutelle active="#struct-301243" type="direct"><org type="institution" xml:id="struct-301243" status="VALID"><orgName>Université Paris-Est Marne-la-Vallée</orgName><orgName type="acronym">UPEM</orgName><desc><address><addrLine>5 boulevard Descartes - Champs-sur-Marne - 77454 Marne-la-Vallée Cedex2 </addrLine><country key="FR"></country></address><ref type="url">http://www.u-pem.fr/</ref></desc></org></tutelle><tutelle active="#struct-301545" type="direct"><org type="institution" xml:id="struct-301545" status="OLD"><orgName>École des Ponts ParisTech (ENPC)</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-302085" type="direct"><org type="institution" xml:id="struct-302085" status="VALID"><orgName>Fédération de Recherche Bézout</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-304949" type="direct"><org type="institution" xml:id="struct-304949" status="INCOMING"><orgName>ESIEE</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle name="UMR8049" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</idno><orgName>Centre National de la Recherche Scientifique</orgName><orgName type="acronym">CNRS</orgName><date type="start">1939-10-19</date><desc><address><country key="FR"></country></address><ref type="url">http://www.cnrs.fr/</ref></desc></org></tutelle></tutelles></hal:affiliation><country>France</country></affiliation></author></analytic><idno type="DOI">10.1007/s10472-014-9406-x</idno><series><title level="j">Annals of Mathematics and Artificial Intelligence</title><idno type="ISSN">1012-2443</idno><imprint><date type="datePub">2015</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>Rigid transformation</term><term>combinatorial structure</term><term>discrete geometry</term><term>image processing</term><term>pixel-invariance constraints</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Rigid transformations are involved in a wide range of digital image processing applications. In such a context, they are generally considered as continuous processes, followed by a digitization of the results. Recently, rigid transformations on Z 2 have been alternatively formulated as a fully discrete process. Following this paradigm, we investigate – from a combinatorial point of view – the effects of pixel-invariance constraints on such transformations. In particular we describe the impact of these constraints on both the combi-natorial structure of the transformation space and the algorithm leading to its generation.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Champagne-Ardenne</li><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Metz</li><li>Nancy</li><li>Reims</li></settlement><orgName><li>Université de Lorraine</li><li>Université de Reims Champagne-Ardenne</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Ngo, Phuc" sort="Ngo, Phuc" uniqKey="Ngo P" first="Phuc" last="Ngo">Phuc Ngo</name></region><name sortKey="Kenmochi, Yukiko" sort="Kenmochi, Yukiko" uniqKey="Kenmochi Y" first="Yukiko" last="Kenmochi">Yukiko Kenmochi</name><name sortKey="Passat, Nicolas" sort="Passat, Nicolas" uniqKey="Passat N" first="Nicolas" last="Passat">Nicolas Passat</name><name sortKey="Talbot, Hugues" sort="Talbot, Hugues" uniqKey="Talbot H" first="Hugues" last="Talbot">Hugues Talbot</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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