Title:	Construction of Minkowski Pythagorean hodograph B-spline curves
Authors:	Bizzarri, Michal Lávička, Miroslav
Citation:	BIZZARRI, M. ., LÁVIČKA, M. . Construction of Minkowski Pythagorean hodograph B-spline curves. Computer Aided Geometric Design, 2020, roč. 80, č. June 2020, s. 101878. ISSN: 0167-8396
Issue Date:	2020
Publisher:	Elsevier
Document type:	preprint preprint
URI:	2-s2.0-85084482036 http://hdl.handle.net/11025/39552
ISSN:	0167-8396
Keywords in different language:	Minkowski Pythagorean hodograph curves;B-spline curves;Clifford algebra;interpolation
Abstract in different language:	Following and extending the recent results of Albrecht et all. (2017) for planar Pythagorean hodograph (PH) B-spline curves to the Minkowski 3-space, we introduce a class of Minkowski Pythagorean hodograph (MPH) B-spline curves. The distinguished property of these curves is that the Minkowski norm of their hodograph is a B-spline function. We focus mainly on the clamped case and using Clifford algebra representation we present formulas for their construction. The closed case is also mentioned. Then we solve two practical problems -- construction of MPH B-spline curves with control polygon close to a given control polygon, and construction of MPH B-spline curves going through given points. We emphasize symbolic solutions wherever it is possible. The results and approaches are illustrated on several examples.
Rights:	Plný text je přístupný v rámci univerzity přihlášeným uživatelům. © Elsevier
Appears in Collections:	Preprinty / Preprints (KMA) OBD

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