Title:	Rational adaptive blends among obstacles in 3D by contour method
Authors:	Bizzarri, Michal Lávička, Miroslav
Citation:	BIZZARRI, Michal, LÁVIČKA, Miroslav. Rational adaptive blends among obstacles in 3D by contour method. Computer-aided deisign, 2017, roč. 89, č. August, s. 1-11. ISSN 0010-4485.
Issue Date:	2017
Publisher:	Elsevier
Document type:	preprint článek preprint article
URI:	http://hdl.handle.net/11025/26129
ISSN:	0010-4485
Keywords:	povrchy kanálu;obrysové plochy;směsi;racionální obalové křivky;obcházení překážek
Keywords in different language:	canal surfaces;contour curves;blends;rational envelope curves;bypassing obstacles
Abstract in different language:	In this paper we will continue in investigating ‘contour method’ and its using for the computation of rational parameterizations of canal surfaces without a need of sum of squares (SOS) decomposition. Further approaches for constructing flexible smooth transitions between canal surfaces will be presented. Mainly, we focus on one particular application of recently introduced rational envelope curves, newly constructed over an arbitrary planar rational curve in space. Using this type of curves significantly simplifies the previous methods discussed in [1], and mainly new situations, which could not have been handled with the previous setup, are successfully solved, now. Especially a method for constructing rational adaptive blends which bypass a given obstacle (or more given obstacles when needed) is thoroughly discussed and its functionality is demonstrated on a number of examples. The designed approach works not only for simple obstacles represented by one-dimensional medial axis transforms but also for more general obstacles described by two-dimensional medial surface transforms.
Rights:	Plný text není přístupný. © Elsevier
Appears in Collections:	Články / Articles (NTIS) Preprinty / Preprints (KMA) OBD

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