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dc.contributor.authorYou, L.H.*
dc.contributor.authorUgail, Hassan*
dc.contributor.authorTang, B.P.*
dc.contributor.authorJin, X.*
dc.contributor.authorYou, X.Y.*
dc.contributor.authorZhang, J.J.*
dc.date.accessioned2016-04-22T13:18:46Z
dc.date.available2016-04-22T13:18:46Z
dc.date.issued2014-04-20
dc.identifier.citationYou LH, Ugail H, Tang BP et al (2014) Blending using ODE swept surfaces with shape control and C1 continuity. Visual Computer. 30(6): 625-636.
dc.identifier.urihttp://hdl.handle.net/10454/8167
dc.descriptionNo
dc.description.abstractSurface blending with tangential continuity is most widely applied in computer-aided design, manufacturing systems, and geometric modeling. In this paper, we propose a new blending method to effectively control the shape of blending surfaces, which can also satisfy the blending constraints of tangent continuity exactly. This new blending method is based on the concept of swept surfaces controlled by a vector-valued fourth order ordinary differential equation (ODE). It creates blending surfaces by sweeping a generator along two trimlines and making the generator exactly satisfy the tangential constraints at the trimlines. The shape of blending surfaces is controlled by manipulating the generator with the solution to a vector-valued fourth order ODE. This new blending methods have the following advantages: (1) exact satisfaction of C1C1 continuous blending boundary constraints, (2) effective shape control of blending surfaces, (3) high computing efficiency due to explicit mathematical representation of blending surfaces, and (4) ability to blend multiple (more than two) primary surfaces.
dc.language.isoenen
dc.subjectSurface blending
dc.subjectC1 continuity
dc.subjectShape control
dc.subjectFourth order ordinary differential equations
dc.subjectAnalytical solution
dc.subjectSwept surfaces
dc.titleBlending using ODE swept surfaces with shape control and C1 continuity
dc.status.refereedYes
dc.typeArticle
dc.type.versionNo full-text in the repository
dc.identifier.doihttps://doi.org/10.1007/s00371-014-0950-5
dc.openaccess.statusclosedAccess


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