CONSTRUCTION OF SMOOTH BICUBIC SURF ACES DEFINED OVER ARBITRARY QUADRILATERAL MESHES

dc.contributor.authorABD MANAF, FADZILAH
dc.date.accessioned2016-01-12T03:49:31Z
dc.date.available2016-01-12T03:49:31Z
dc.date.issued2001-11
dc.description.abstractTwo methods of modelling closed smooth precewrse bicubic surfaces on polyhedral mesh are described. The first method deals with the construction of bicubic B-spline basis functions. These functions are constructed on simple quadrilateral meshes, that is a closed polyhedral mesh in which every face has four edges and every vertex is the joint of three or four edges. These functions are used to model smooth closed surfaces from control polyhedron with quadrilateral faces. Geometric continuity is ensured at the extraordinary vertices and parametric continuity elsewhere. Surface splitting algorithm is applied in order to plot the surfaces. The second uses a subdivision approach to construct the surface. An algorithm to subdivide the surface recursively is proposed. By repeated subdivision, the surface is made to satisfy geometric continuity G1 around the extraordinary vertices and C1 elsewhere.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1475
dc.subjectCONSTRUCTION OF SMOOTH BICUBIC SURF ACES DEFINED OVERen_US
dc.titleCONSTRUCTION OF SMOOTH BICUBIC SURF ACES DEFINED OVER ARBITRARY QUADRILATERAL MESHESen_US
dc.typeThesisen_US
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