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Graphical Models
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Rational G2 splines

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2011 United States English Publisher:Elsevier BVJournal:Graphical Models, volume 73, pages 286-295 (issn: 1524-0703, Copyright policy )
Authors: Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania ( host institution ); Karčiauskas, Ke¸stutis ( author ); Peters, Jörg ( author );

doi: 10.1016/j.gmod.2011.05.004

Rational G2 splines

Abstract

We develop a class of rational, G^2-connected splines of degree 3 that allow modeling multiple basic shapes, such as segments of conics and circle arcs in particular, in one structure. @? This can be used, for example, to have portions of a control polygon exactly reproduce segments of the shapes while other portions blend between these primary shapes. We also show how to reparameterize the splines to obtain parametrically C^2 transitions.

Country
United States
Related Organizations
Keywords

Subdivision, Conics, Non-uniform parametrization, Rational spline, Curvature continuity, Geometric continuity

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
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gold