CIRCLE-PRESERVING SUBDIVISION SCHEME BASED ON APOLLONIUS’ CIRCLE

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43918198" target="_blank" >RIV/49777513:23520/12:43918198 - isvavai.cz</a>
Výsledek na webu
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Jazyk výsledku
angličtina
Název v původním jazyce
CIRCLE-PRESERVING SUBDIVISION SCHEME BASED ON APOLLONIUS’ CIRCLE
Popis výsledku v původním jazyce
In this paper, we introduce a new Hermite subdivision scheme. The main idea of inserting a new point corresponding to an edge and its associated tangent vector is to intersect suitably chosen Apollonius’ circle with an axis of the angle between one of the associated tangent vectors and this edge. The scheme is proved to converge to a continuous curve and, moreover, the limit curve is G1 continuous. One of main the properties is that it is circle-preserving, i.e., if the initial vertices and their associated tangent vectors are sampled from a circle, then the subdivision process converges to this circle.
Název v anglickém jazyce
CIRCLE-PRESERVING SUBDIVISION SCHEME BASED ON APOLLONIUS’ CIRCLE
Popis výsledku anglicky
In this paper, we introduce a new Hermite subdivision scheme. The main idea of inserting a new point corresponding to an edge and its associated tangent vector is to intersect suitably chosen Apollonius’ circle with an axis of the angle between one of the associated tangent vectors and this edge. The scheme is proved to converge to a continuous curve and, moreover, the limit curve is G1 continuous. One of main the properties is that it is circle-preserving, i.e., if the initial vertices and their associated tangent vectors are sampled from a circle, then the subdivision process converges to this circle.

Rok uplatnění
2012
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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