A direct and local method for computing polynomial Pythagorean-normal patches with global continuity

Michal Bizzarri, Miroslav Lávička, Jan Vršek, Jiří Kosinka

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2 Citaten (Scopus)
106 Downloads (Pure)


Abstract We present a direct and local construction for polynomial G 1 spline surfaces with a piece-wise Pythagorean normal (PN) vector field. A key advantage of our method is that the constructed splines possess exact piece-wise rational offsets without any need for reparametrisations, which in turn means that no trimming procedure in the parameter domain is necessary. The spline surface consists of locally constructed triangular PN macro-elements, each of which is completely local and capable of matching boundary data consisting of three points with associated normal vectors. The collection of the macro-elements forms a G 1 -continuous spline surface. The designed method is demonstrated on several examples.
Originele taal-2English
Pagina's (van-tot)44-51
Aantal pagina's10
TijdschriftComputer-Aided design
StatusPublished - sep.-2018

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