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Geometric Modeling and Processing 2004
The Fractal Nature of Bezier Curves
Beijing, China
April 13-April 15
ISBN: 0-7695-2078-2
ASCII Text
x 
 
Ron Goldman, "The Fractal Nature of Bezier Curves," Geometric Modeling and Processing, pp. 3, Geometric Modeling and Processing 2004, 2004.
 
 
BibTex
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@article{ 10.1109/GMAP.2004.1290020,
author = {Ron Goldman},
title = {The Fractal Nature of Bezier Curves},
journal ={Geometric Modeling and Processing},
volume = {0},
year = {2004},
isbn = {0-7695-2078-2},
pages = {3},
doi = {http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290020},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Geometric Modeling and Processing
TI - The Fractal Nature of Bezier Curves
SN - 0-7695-2078-2
SP
EP
A1 - Ron Goldman,
PY - 2004
KW - null
VL - 0
JA - Geometric Modeling and Processing
ER -
 
Ron Goldman, Rice University, Houston, Texas
Fractals are attractors -- fixed points of iterated function systems. Bezier curves are polynomials -- linear combinations of Bernstein basis functions. The de Casteljau subdivision algorithm is used here to show that Bezier curves are also attractors. Thus, somewhat surprisingly, Bezier curves are fractals. This fractal nature of Bezier curves is exploited to derive a new rendering algorithm for Bezier curves.
Citation:
Ron Goldman, "The Fractal Nature of Bezier Curves," gmp, pp.3, Geometric Modeling and Processing 2004, 2004
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