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dc.contributor.authorCotrina Navau, Josep
dc.contributor.authorPla García, Núria
dc.contributor.authorVigo Anglada, Marc
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Telemàtica
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Ciències de la Computació
dc.date.accessioned2016-12-07T10:03:03Z
dc.date.available2016-12-07T10:03:03Z
dc.date.issued2001-12
dc.identifier.citationCotrina, J., Pla, N., Vigo, M. "N-sided patches with B-spline boundaries". 2001.
dc.identifier.urihttp://hdl.handle.net/2117/97827
dc.description.abstractWe present a method to construct a patch of parametric surface of degree k+1 that fills a n-sided hole, with bigger than 2, and whose boundary coincides with a B-Spline, thus, the resulting patch can be easily connected with given B-Spline surfaces with fixed continuity conditions. The method is based on the generic approach by the same authors to con-struct free form surfaces, which gives a family of practical schemes to design surfaces from an arbitrary given mesh, using the differentiable manifold the-ory. The proposal uses a star shaped mesh which describes a generic n-hole and a surface in a neighborhood of the hole. From this mesh, a set of charts is defined, one associated to each vertex or face of the mesh, depending on the parity of the input parameter k. A basis function and a control point is defined from each chart, and the surface is obtained as a baricentric combination of the control points using the defined basis functions. The main advantages of the method are the following: arbitrary order k continuity conditions can be imposed; the involved hole can have an arbitrary number of sides and arbitrary shape (convex or not) the simplicity of the construction process gives an easy and flexible method; and finally, the surface near the boundary is a B-Spline with piecewise uniform knot sequences and whose control points are vertices of the given mesh. Implementation details to evaluate a surface point are given, showing that the de Boor algorithm can be exploited for efficiency.
dc.format.extent21 p.
dc.language.isoeng
dc.relation.ispartofseriesLSI-01-55-R
dc.subjectÀrees temàtiques de la UPC::Informàtica::Infografia
dc.subject.otherN-sided patches
dc.subject.otherB-spline boundaries
dc.subject.otherde Boor algorithm
dc.subject.otherComputer graphics
dc.titleN-sided patches with B-spline boundaries
dc.typeExternal research report
dc.contributor.groupUniversitat Politècnica de Catalunya. WNG - Grup de xarxes sense fils
dc.rights.accessOpen Access
local.identifier.drac1891149
dc.description.versionPostprint (published version)
local.citation.authorCotrina, J.; Pla, N.; Vigo, M.


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