Název:	A direct and local method for computing polynomial Pythagorean-normal patches with global G1 continuity
Autoři:	Bizzarri, Michal Lávička, Miroslav Kosinka, Jiří Vršek, Jan
Citace zdrojového dokumentu:	BIZZARRI, M., LÁVIČKA, M., KOSINKA, J., VRŠEK, J. A direct and local method for computing polynomial Pythagorean-normal patches with global G1 continuity. Computer-aided design, 2018, roč. 102, č. SEP 2018, s. 44-51. ISSN 0010-4485
Datum vydání:	2018
Nakladatel:	Elsevier
Typ dokumentu:	článek article
URI:	http://hdl.handle.net/11025/29946
ISSN:	0010-4485
Klíčová slova v dalším jazyce:	Hermite interpolation;piece-wise polynomial PN surfaces;rational offsets;macro-elements
Abstrakt v dalším jazyce:	We present a direct and local construction for polynomial G1 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 macroelements forms a G1-continuous spline surface. The designed method is demonstrated on several examples.
Práva:	Plný text není přístupný. © Elsevier
Vyskytuje se v kolekcích:	Články / Articles (NTIS) OBD

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