loading...
 This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
Geometric Modeling and Processing 2004
Knot Choosing by Accommodating the First Derivative Constraint
Beijing, China
April 13-April 15
ISBN: 0-7695-2078-2
ASCII Text
x 
 
Zhang Caiming, Fuhua (Frank) Cheng, "Knot Choosing by Accommodating the First Derivative Constraint," Geometric Modeling and Processing, pp. 31, Geometric Modeling and Processing 2004, 2004.
 
 
BibTex
x
 
@article{ 10.1109/GMAP.2004.1290024,
author = {Zhang Caiming and Fuhua (Frank) Cheng},
title = {Knot Choosing by Accommodating the First Derivative Constraint},
journal ={Geometric Modeling and Processing},
volume = {0},
year = {2004},
isbn = {0-7695-2078-2},
pages = {31},
doi = {http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290024},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Geometric Modeling and Processing
TI - Knot Choosing by Accommodating the First Derivative Constraint
SN - 0-7695-2078-2
SP
EP
A1 - Zhang Caiming,
A1 - Fuhua (Frank) Cheng,
PY - 2004
KW - Spline curves
KW - strain energy
KW - smoothness
KW - shape preserving
KW - knots
KW - interpolation
VL - 0
JA - Geometric Modeling and Processing
ER -
 
Zhang Caiming, Shandong University, Jinan, China
Fuhua (Frank) Cheng, University of Kentucky, Lexington, KY
The current cubic spline curve interpolation scheme is derived based on the implicit assumption that the magnitude of the first derivative of the curve is close to a constant. However, the assumption is not realized by the interpolation scheme. A knot choosing technique for parametric cubic spline interpolating curve construction that accommodates this assumption is presented. A comparison of the new method with several existing methods is performed and test results are included.
Index Terms:
Spline curves, strain energy, smoothness, shape preserving, knots, interpolation
Citation:
Zhang Caiming, Fuhua (Frank) Cheng, "Knot Choosing by Accommodating the First Derivative Constraint," gmp, pp.31, Geometric Modeling and Processing 2004, 2004
Usage of this product signifies your acceptance of the Terms of Use.