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dc.contributor.authorVigo Anglada, Marc
dc.contributor.authorPla García, Núria
dc.contributor.authorBrunet Crosa, Pere
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Òptica i Optometria
dc.date.accessioned2016-01-29T10:36:03Z
dc.date.available2016-01-29T10:36:03Z
dc.date.issued1995-03
dc.identifier.citationVigo, M., Pla, N., Brunet, P. "From degenerate patches to triangular and trimmed patches". 1995.
dc.identifier.urihttp://hdl.handle.net/2117/82258
dc.description.abstractCAD systems are usually based on a tensor product representation of free form surfaces. Trimmed patches provide a reasonable solution for the representation of general topologies, provided that the gap between equivalent trimming curves in the euclidean space is small enough. Several commercial CAD systems, however, represent certain non-rectangular surface regions through degenerate rectangular patches. Degenerate patches produce rendering artifacts and can lead to malfunctions in the subsequent geometric operations. In this paper, two algorithms for converting degenerate tensor-product patches into triangular and trimmed rectangular patches are presented. The algorithms are based on specific degree reduction algorithms for Bézier curves. In both algorithms, the final surface approximates the initial one in a quadratic sense while inheriting its boundary curves. In the second one, e-G^1 continuity is achieved. Approximation errors are analyzed and some examples are presented and discussed. Approximation errors can be arbitrarily decreased through the degree elevation of the degenerate patches.
dc.format.extent43 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Informàtica
dc.subject.otherCAD systems
dc.subject.otherTrimmed patches
dc.titleFrom degenerate patches to triangular and trimmed patches
dc.typeExternal research report
dc.rights.accessOpen Access
local.identifier.drac636193
dc.description.versionPostprint (published version)
local.citation.authorVigo, M.; Pla, N.; Brunet, P.


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