Construction of smooth branching surfaces using T-splines

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dc.contributor.authorGinnis, A.I.
dc.contributor.authorKostas, K.V.
dc.contributor.authorKaklis, P.D.
dc.creatorA.I., Ginnis
dc.date.accessioned2017-12-21T03:39:20Z
dc.date.available2017-12-21T03:39:20Z
dc.date.issued2017-11-01
dc.description.abstractAbstract The request for designing or reconstructing objects from planar cross sections arises in various applications, ranging from CAD to GIS and Medical Imaging. The present work focuses on the “one-to-many” branching problem, where one of the planes can be populated with many, possibly tortuous and densely packed, contours. The proposed method combines the proximity information offered by the Euclidean Voronoi diagram with the concept of surrounding curve, introduced in Gabrielides et al. (2007), and T-splines technology Sederberg et al. (2003) for securing a flexible and portable representation. Our algorithm delivers a single cubic T-spline that deviates from the given contours less than a user-specified tolerance, measured via the so-called discrete Fréchet distance Eiter and Mannila (1994) and is C2 everywhere except from a finite set of point-neighborhoods. Subject to minor enrichment, the algorithm is also capable to handle the “many-to-many” configuration as well as the global reconstruction problem involving contours on several planes.en_US
dc.identifierDOI:10.1016/j.cad.2017.06.001
dc.identifier.citationA.I. Ginnis, K.V. Kostas, P.D. Kaklis, Construction of smooth branching surfaces using T-splines, In Computer-Aided Design, Volume 92, 2017, Pages 22-32en_US
dc.identifier.issn00104485
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0010448517301070
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/2981
dc.language.isoenen_US
dc.publisherComputer-Aided Designen_US
dc.relation.ispartofComputer-Aided Design
dc.rights.license© 2017 Elsevier Ltd. All rights reserved.
dc.subjectBranching surfaceen_US
dc.subjectT-splinesen_US
dc.subjectVoronoi diagramen_US
dc.subjectSurrounding curveen_US
dc.subjectDiscrete Fréchet distanceen_US
dc.titleConstruction of smooth branching surfaces using T-splinesen_US
dc.typeArticleen_US
elsevier.aggregationtypeJournal
elsevier.coverdate2017-11-01
elsevier.coverdisplaydateNovember 2017
elsevier.endingpage32
elsevier.identifier.doi10.1016/j.cad.2017.06.001
elsevier.identifier.eid1-s2.0-S0010448517301070
elsevier.identifier.piiS0010-4485(17)30107-0
elsevier.identifier.scopusid85026904695
elsevier.openaccess0
elsevier.openaccessarticlefalse
elsevier.openarchivearticlefalse
elsevier.startingpage22
elsevier.teaserThe request for designing or reconstructing objects from planar cross sections arises in various applications, ranging from CAD to GIS and Medical Imaging. The present work focuses on the “one-to-many”...
elsevier.volume92
workflow.import.sourcescience

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