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On Convergence of the Control Polygons Series of C-Bezier Curves
Beijing, China April 13-April 15
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290026Geometric Modeling and Processing 2004
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Chenshi Dong, Guozhao Wang, "On Convergence of the Control Polygons Series of C-Bezier Curves," Geometric Modeling and Processing, pp. 49, Geometric Modeling and Processing 2004, 2004.
 
 
BibTex
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@article{ 10.1109/GMAP.2004.1290026,
author = {Chenshi Dong and Guozhao Wang},
title = {On Convergence of the Control Polygons Series of C-Bezier Curves},
journal ={Geometric Modeling and Processing},
volume = {0},
year = {2004},
isbn = {0-7695-2078-2},
pages = {49},
doi = {http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290026},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Geometric Modeling and Processing
TI - On Convergence of the Control Polygons Series of C-Bezier Curves
SN - 0-7695-2078-2
SP
EP
A1 - Chenshi Dong,
A1 - Guozhao Wang,
PY - 2004
KW - null
VL - 0
JA - Geometric Modeling and Processing
ER -
 
Chenshi Dong, Zhejiang University, China
Guozhao Wang, Zhejiang University, China
The C-B?zier curve is introduced to CAD/CAM to deal with circular arcs, cylinders, and cones. It can precisely represent these conic curves in a B?zier-like way. A conjecture in [Chen and Wang'2003] is that the sequence of control polygons associated with the C-B?zier representation of a curve converges to the curve itself as the curve degree n goes to infinity. In this paper we prove this conjecture.
Citation:
Chenshi Dong, Guozhao Wang, "On Convergence of the Control Polygons Series of C-Bezier Curves," gmp, pp.49, Geometric Modeling and Processing 2004, 2004
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