Free-Form Solid Modellíng Based on Extended Simplícial Chains Using Triangular Bézier Patches

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dc.contributor.authorGarcía, Ángel Luisen_US
dc.contributor.authorMiras, Juan Ruiz deen_US
dc.contributor.authorFeito, Francisco R.en_US
dc.contributor.editorXavier Pueyoen_US
dc.contributor.editorManuel Próspero dos Santosen_US
dc.contributor.editorLuiz Velhoen_US
dc.date.accessioned2023-01-24T14:15:53Z
dc.date.available2023-01-24T14:15:53Z
dc.date.issued2022
dc.description.abstractWe present a mathematical model for geometric modelling based on the concept of extended simplicial chain (ESC) defined in previous works. With this model, a solid is defined by means of an algebraic sum of nondisjoint extended cells, applying the divide and conquer concept. This allows us to obtain the traditional Boolean operations in geometric modelling through the operations defined for ESC's. The model enables us to represent free-form solids whose boundaries are free-form swfaces represented by a set of low degree triangular Bézier patches and operate with them. ln fact, this model allows us to solve basic problems in solid modelling, like the point-in-solid test. ln this case we make use of the generality of the definition of ESC to particularize it to the use of triangular Bézier patches in 3D.en_US
dc.description.sectionheadersGeometric Modeling
dc.description.seriesinformationSIACG2002 - 1st lbero-American Symposium in Computer Graphics
dc.identifier.doi10.2312/pt.20021408
dc.identifier.isbn978-3-03868-194-6
dc.identifier.pages99-108
dc.identifier.pages10 pages
dc.identifier.urihttps://doi.org/10.2312/pt.20021408
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/pt20021408
dc.publisherThe Eurographics Associationen_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectFree-form solid modelling, extended simplicial chains, triangular Bézier patches, formal methods in computer graphics, mathematical models
dc.subjectFree
dc.subjectform solid modelling
dc.subjectextended simplicial chains
dc.subjecttriangular Bézier patches
dc.subjectformal methods in computer graphics
dc.subjectmathematical models
dc.titleFree-Form Solid Modellíng Based on Extended Simplícial Chains Using Triangular Bézier Patchesen_US
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