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dc.contributor.authorWang, S.
dc.contributor.authorXia, Y.
dc.contributor.authorYou, L.
dc.contributor.authorUgail, Hassan
dc.contributor.authorCarriazo, A.
dc.contributor.authorIglesias, A.
dc.contributor.authorZhang, J.
dc.date.accessioned2022-03-25T12:12:36Z
dc.date.accessioned2022-03-31T13:07:32Z
dc.date.available2022-03-25T12:12:36Z
dc.date.available2022-03-31T13:07:32Z
dc.date.issued2022-10
dc.identifier.citationWang S, Xia Y, You L et al (2022) Interactive PDE patch-based surface modeling from vertex-frames. Engineering with Computers. 38: 4367-4385.en_US
dc.identifier.urihttp://hdl.handle.net/10454/18840
dc.descriptionYesen_US
dc.description.abstractPolygon, subdivision, and NURBS are three mainstream modeling techniques widely applied in commercial software packages. They require heavy manual operations, and involve a lot of design variables leading to big data, high storage costs and slow network transmissions. In this paper, we integrate the strengths of boundary-based surface creation and partial differential equation (PDE)-based geometric modeling to obtain the first analytical C continuous 4-sided PDE patches involving sculpting force-based shape creation and manipulation and use them to develop an interactive modeling technique for easy and quick creation of 3D models with small data from vertex-frames. With this modeling technique, a vertex frame is defined by eight vertices, and a C continuous 4-sided PDE patch is created from the vertex-frame through an analytical solution to a vector-valued second-order PDE subjected to the boundary conditions determined by the eight vertices of a vertex-frame. A user-friendly interface is developed from the obtained analytical solution, which enables users to interactively input and modify vertex-frame models easily and create 3D models in real time. Different surface modeling tasks are carried out to test the developed interactive tool and compare our proposed method with polygon and NURBS modeling and Coons surfaces. The results demonstrate the effectiveness of our proposed method and its advantages in reducing design variables, saving storage costs, and effective shape creation and manipulation.en_US
dc.description.sponsorshipEuropean Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 778035; MCIN/ AEI /10.13039/501100011033/ FEDER “Una manera de hacer Europa”en_US
dc.language.isoenen_US
dc.relation.isreferencedbyhttps://doi.org/10.1007/s00366-022-01602-zen_US
dc.rights(c) 2022 Springer. Full-text reproduced in accordance with the publisher's self-archiving policy.en_US
dc.subject4-sided PDE patchen_US
dc.subjectInteractive designen_US
dc.subjectVertex-framesen_US
dc.subjectSurface modellingen_US
dc.titleInteractive PDE patch-based surface modeling from vertex-framesen_US
dc.status.refereedYesen_US
dc.date.Accepted2022-01-05
dc.date.application2022-01-31
dc.typeArticleen_US
dc.type.versionAccepted manuscripten_US
dc.rights.licenseUnspecifieden_US
dc.date.updated2022-03-25T12:12:36Z
dc.openaccess.statusopenAccessen_US


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