Title: A direct and local method for computing polynomial Pythagorean-normal patches with global G1 continuity
Authors: Bizzarri, Michal
Lávička, Miroslav
Kosinka, Jiří
Vršek, Jan
Citation: 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
Issue Date: 2018
Publisher: Elsevier
Document type: článek
URI: http://hdl.handle.net/11025/29946
ISSN: 0010-4485
Keywords in different language: Hermite interpolation;piece-wise polynomial PN surfaces;rational offsets;macro-elements
Abstract in different language: 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.
Rights: Plný text není přístupný.
© Elsevier
Appears in Collections:Články / Articles (NTIS)

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