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Article: Feature extraction of the patterned textile with deformations via optimal control theory

TitleFeature extraction of the patterned textile with deformations via optimal control theory
Authors
KeywordsDeformation
Textile
Two-Dimensional Control Function
Issue Date2011
PublisherAmerican Institute of Mathematical Sciences. The Journal's web site is located at http://www.aimsciences.org/dcdsB.htm
Citation
Discrete And Continuous Dynamical Systems - Series B, 2011, v. 16 n. 4, p. 1055-1069 How to Cite?
AbstractIn handling textile materials, deformation is very common and is unavoidable. When the fabrics are dispatched for further feature extractions, it's necessary to recover the original shape for comparison with a standard template. This recovery problem is investigated in this paper. By introducing a set of recovered functions, the problem is formulated as a combined optimal control and optimal parameter selection problem, governed by the dynamical system of a set of two-dimensional control functions. After parameterization of the control functions, the problem is transformed into a nonlinear optimization problem, where gradient based optimization methods can be applied. We also analyze the convergence of the parameterization method. Several numerical examples are used to demonstrate the method.
Persistent Identifierhttp://hdl.handle.net/10722/155949
ISSN
2015 Impact Factor: 1.227
2015 SCImago Journal Rankings: 1.111
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorFeng, ZGen_US
dc.contributor.authorCedric Yiu, KFen_US
dc.contributor.authorMak, KLen_US
dc.date.accessioned2012-08-08T08:38:34Z-
dc.date.available2012-08-08T08:38:34Z-
dc.date.issued2011en_US
dc.identifier.citationDiscrete And Continuous Dynamical Systems - Series B, 2011, v. 16 n. 4, p. 1055-1069en_US
dc.identifier.issn1531-3492en_US
dc.identifier.urihttp://hdl.handle.net/10722/155949-
dc.description.abstractIn handling textile materials, deformation is very common and is unavoidable. When the fabrics are dispatched for further feature extractions, it's necessary to recover the original shape for comparison with a standard template. This recovery problem is investigated in this paper. By introducing a set of recovered functions, the problem is formulated as a combined optimal control and optimal parameter selection problem, governed by the dynamical system of a set of two-dimensional control functions. After parameterization of the control functions, the problem is transformed into a nonlinear optimization problem, where gradient based optimization methods can be applied. We also analyze the convergence of the parameterization method. Several numerical examples are used to demonstrate the method.en_US
dc.languageengen_US
dc.publisherAmerican Institute of Mathematical Sciences. The Journal's web site is located at http://www.aimsciences.org/dcdsB.htmen_US
dc.relation.ispartofDiscrete and Continuous Dynamical Systems - Series Ben_US
dc.subjectDeformationen_US
dc.subjectTextileen_US
dc.subjectTwo-Dimensional Control Functionen_US
dc.titleFeature extraction of the patterned textile with deformations via optimal control theoryen_US
dc.typeArticleen_US
dc.identifier.emailCedric Yiu, KF:cedric@hkucc.hku.hken_US
dc.identifier.emailMak, KL:makkl@hkucc.hku.hken_US
dc.identifier.authorityCedric Yiu, KF=rp00206en_US
dc.identifier.authorityMak, KL=rp00154en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.3934/dcdsb.2011.16.1055en_US
dc.identifier.scopuseid_2-s2.0-80155188623en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80155188623&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume16en_US
dc.identifier.issue4en_US
dc.identifier.spage1055en_US
dc.identifier.epage1069en_US
dc.identifier.isiWOS:000295032300003-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridFeng, ZG=12753600700en_US
dc.identifier.scopusauthoridCedric Yiu, KF=24802813000en_US
dc.identifier.scopusauthoridMak, KL=7102680226en_US

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