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Accurate Parametrization of Conics by NURBS
November 1996 (vol. 16 no. 6)
pp. 64-71
ASCII Text
x 
 
Carole Blanc, Christophe Schlick, "Accurate Parametrization of Conics by NURBS," IEEE Computer Graphics and Applications, vol. 16, no. 6, pp. 64-71, November, 1996.
 
 
BibTex
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@article{ 10.1109/38.544074,
author = {Carole Blanc and Christophe Schlick},
title = {Accurate Parametrization of Conics by NURBS},
journal ={IEEE Computer Graphics and Applications},
volume = {16},
number = {6},
issn = {0272-1716},
year = {1996},
pages = {64-71},
doi = {http://doi.ieeecomputersociety.org/10.1109/38.544074},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - MGZN
JO - IEEE Computer Graphics and Applications
TI - Accurate Parametrization of Conics by NURBS
IS - 6
SN - 0272-1716
SP64
EP71
EPD - 64-71
A1 - Carole Blanc,
A1 - Christophe Schlick,
PY - 1996
KW - conics
KW - NURBS
KW - parametrization
KW - reparametrization
VL - 16
JA - IEEE Computer Graphics and Applications
ER -
 
It is well known that NURBS curves provide an exact representation of conics. Nevertheless, if this representation is exact on the geometric point of view (that is, the shape), the resulting parametrization is usually bad. For instance, the highest known continuity for a circle represented by a NURBS curve is only C1. This article presents a new reparametrization technique, called zigzag reparametrization, that improves the parametrization of a NURBS curve or surface according to a given criterion. To illustrate the technique, we study here the parametrization of the circle, but the method may be used in many other reparametrization applications.

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Index Terms:
conics, NURBS, parametrization, reparametrization
Citation:
Carole Blanc, Christophe Schlick, "Accurate Parametrization of Conics by NURBS," IEEE Computer Graphics and Applications, vol. 16, no. 6, pp. 64-71, Nov. 1996, doi:10.1109/38.544074
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