Bounding the distance between 2D parametric Bezier curves and their control polygon

dc.contributor.author	Καραβέλας, Μενέλαος	el
dc.contributor.author	Κακλής, Παναγιώτης Δ.	el
dc.contributor.author	Κώστας, Κωνσταντίνος	el
dc.date.accessioned	2015-02-03T21:36:10Z
dc.date.available	2015-02-03T21:36:10Z
dc.date.issued	2015-02-03
dc.identifier.uri	http://hdl.handle.net/11400/5602
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	Parametric bezier curves
dc.subject	Control polygon
dc.subject	Polygonal envelopes
dc.subject	Collision detection (Computer animation)
dc.subject	Optimal orientation bounds
dc.subject	Παραμετρικές καμπύλες Bezier
dc.subject	Πολύγωνο ελέγχου
dc.subject	Πολυγωνικοί φάκελοι
dc.subject	Ανιχνευτής σύγκρουσης
dc.title	Bounding the distance between 2D parametric Bezier curves and their control polygon	en
heal.type	journalArticle
heal.classification	Marine engineering
heal.classification	Shipbuilding
heal.classification	Ναυτιλία
heal.classification	Ναυπηγική
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85081157
heal.classificationURI	http://zbw.eu/stw/descriptor/13066-5
heal.classificationURI	N/A-Ναυτιλία
heal.classificationURI	N/A-Ναυπηγική
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh2005008469
heal.identifier.secondary	DOI 10.1007/s00607-003-0051-1
heal.language	en
heal.access	campus
heal.recordProvider	Τ.Ε.Ι. Αθήνας, Σχολή Τεχνολογικών Εφαρμογών, Τμήμα Ναυπηγών Μηχανικών	el
heal.publicationDate	2003-11-17
heal.bibliographicCitation	Karavelas, M.I., Kaklis, P.D. and Kostas, K.V. (2004). Bounding the distance between 2D parametric Bezier curves and their control polygon. Journal of Computing, 72(1-1), Springer-Verlag 2004. pp 117-128. Available from: http://link.springer.com/article/10.1007%2Fs00607-003-0051-1. [Accessed 08/04/2004]	en
heal.abstract	Employing the techniques presented by Nairn, Peters and Lutterkort in 1, sharp bounds are firstly derived for the distance between a planar parametric Bezier curve and a parameterization of its control polygon based on the Greville abscissae. Several of the norms appearing in these bounds are orientation dependent. We next present algorithms for finding the optimal orientation angle for which two of these norms become minimal. The use of these bounds and algorithms for constructing polygonal envelopes of planar polynomial curves, is illustrated for an open and a closed composite Bezier curve.	en
heal.publisher	Springer-Verlag 2004	en
heal.journalName	Journal of Computing	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true
heal.dateCreated	2003-03-17