Sweeping with all graphical ingredients in a topological picturebook

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dc.citation.epage281en_US
dc.citation.issueNumber3en_US
dc.citation.spage273en_US
dc.citation.volumeNumber16en_US
dc.contributor.authorAkman, V.en_US
dc.contributor.authorArslan, A.en_US
dc.date.accessioned2016-02-08T10:55:30Z
dc.date.available2016-02-08T10:55:30Z
dc.date.issued1992en_US
dc.departmentDepartment of Computer Engineeringen_US
dc.description.abstractSweeping is a powerful method to generate 3-D shapes in geometric modeling. In this paper we formulate a general matrix to give a mathematical definition of twisted-profiled sweep objects as a discrete approximation. While conceptually simple, our result is, to our best knowledge, the first precise formulation of sweeping with all graphical ingredients, viz. twisting, scaling, rotation, and translation. Twisted-profiled sweeping surfaces defined by contour, profile, trajectory, and guide curves are thus represented in concatenated matrix formulation. In addition, we give interactive methods to generate sweep objects and present sample figures produced within the framework of our implementation Tb, a topological picturebook.en_US
dc.identifier.doi10.1016/0097-8493(92)90004-Fen_US
dc.identifier.issn0097-8493
dc.identifier.urihttp://hdl.handle.net/11693/26130
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/0097-8493(92)90004-Fen_US
dc.source.titleComputers and Graphicsen_US
dc.subjectComputer graphicsen_US
dc.subjectGeometryen_US
dc.subjectGraph theoryen_US
dc.subjectImage processingen_US
dc.subjectMatrix algebraen_US
dc.subjectGraphical ingredientsen_US
dc.subjectPicture booksen_US
dc.subjectSweep objectsen_US
dc.subjectTopological picture booksen_US
dc.subjectTopologyen_US
dc.titleSweeping with all graphical ingredients in a topological picturebooken_US
dc.typeArticleen_US

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