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Article: Constrained 3D shape reconstruction using a combination of surface fitting and registration

TitleConstrained 3D shape reconstruction using a combination of surface fitting and registration
Authors
KeywordsConstrained Surface Fitting
Digital Reconstruction
Registration
Squared Distance Minimization
Issue Date2006
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/cad
Citation
Cad Computer Aided Design, 2006, v. 38 n. 6, p. 572-583 How to Cite?
AbstractWe investigate 3D shape reconstruction from measurement data in the presence of constraints. The constraints may fix the surface type or set geometric relations between parts of an object's surface, such as orthogonality, parallelity and others. It is proposed to use a combination of surface fitting and registration within the geometric optimization framework of squared distance minimization (SDM). In this way, we obtain a quasi-Newton like optimization algorithm, which in each iteration simultaneously registers the data set with a rigid motion to the fitting surface and adapts the shape of the fitting surface. We present examples to show the applicability of our method to constrained 3D shape fitting for reverse engineering of CAD models and to high accuracy fitting with kinematic surfaces, which include surfaces of revolution (reconstructed from fragments of archeological pottery) and spiral surfaces, which are fitted to 3D measurement data of shells. Our optimization algorithm can combine registration of multiple scans of an object and model fitting into a single optimization process which is shown to be superior to the traditional procedure, which first registers the data and then fits a model to it. © 2006 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/152341
ISSN
2015 Impact Factor: 2.149
2015 SCImago Journal Rankings: 1.078
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, Yen_US
dc.contributor.authorPottmann, Hen_US
dc.contributor.authorWang, Wen_US
dc.date.accessioned2012-06-26T06:37:18Z-
dc.date.available2012-06-26T06:37:18Z-
dc.date.issued2006en_US
dc.identifier.citationCad Computer Aided Design, 2006, v. 38 n. 6, p. 572-583en_US
dc.identifier.issn0010-4485en_US
dc.identifier.urihttp://hdl.handle.net/10722/152341-
dc.description.abstractWe investigate 3D shape reconstruction from measurement data in the presence of constraints. The constraints may fix the surface type or set geometric relations between parts of an object's surface, such as orthogonality, parallelity and others. It is proposed to use a combination of surface fitting and registration within the geometric optimization framework of squared distance minimization (SDM). In this way, we obtain a quasi-Newton like optimization algorithm, which in each iteration simultaneously registers the data set with a rigid motion to the fitting surface and adapts the shape of the fitting surface. We present examples to show the applicability of our method to constrained 3D shape fitting for reverse engineering of CAD models and to high accuracy fitting with kinematic surfaces, which include surfaces of revolution (reconstructed from fragments of archeological pottery) and spiral surfaces, which are fitted to 3D measurement data of shells. Our optimization algorithm can combine registration of multiple scans of an object and model fitting into a single optimization process which is shown to be superior to the traditional procedure, which first registers the data and then fits a model to it. © 2006 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/caden_US
dc.relation.ispartofCAD Computer Aided Designen_US
dc.subjectConstrained Surface Fittingen_US
dc.subjectDigital Reconstructionen_US
dc.subjectRegistrationen_US
dc.subjectSquared Distance Minimizationen_US
dc.titleConstrained 3D shape reconstruction using a combination of surface fitting and registrationen_US
dc.typeArticleen_US
dc.identifier.emailWang, W:wenping@cs.hku.hken_US
dc.identifier.authorityWang, W=rp00186en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.cad.2006.01.014en_US
dc.identifier.scopuseid_2-s2.0-33746238718en_US
dc.identifier.hkuros141114-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33746238718&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume38en_US
dc.identifier.issue6en_US
dc.identifier.spage572en_US
dc.identifier.epage583en_US
dc.identifier.isiWOS:000240415600003-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLiu, Y=27172089200en_US
dc.identifier.scopusauthoridPottmann, H=7003351050en_US
dc.identifier.scopusauthoridWang, W=35147101600en_US

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