Result: Construction of ODE Curves: Construction of ODE curves

Title:
Construction of ODE Curves: Construction of ODE curves
Authors:
Miguel Rodríguez, Miguel Pasadas, A. Kouibia
Source:
Numerical Algorithms. 34:367-377
Publisher Information:
Springer Science and Business Media LLC, 2003.
Publication Year:
2003
Subject Terms:
Computer-aided design (modeling of curves and surfaces), numerical examples, boundary value problem, fitting, Numerical smoothing, curve fitting, splines, 0101 mathematics, free-form curves, ODE curves, 01 natural sciences, Numerical computation using splines
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1572-9265
1017-1398
DOI:
10.1023/b:numa.0000005351.91801.c3
Access URL:
https://dblp.uni-trier.de/db/journals/na/na34.html#KouibiaPR03
https://hera.ugr.es/doi/15075102.pdf
https://link.springer.com/article/10.1023%2FB%3ANUMA.0000005351.91801.c3
http://ui.adsabs.harvard.edu/abs/2003NuAlg..34..367K/abstract
Rights:
Springer Nature TDM
Accession Number:
edsair.doi.dedup.....c47a536204987b7d4724e95c7c008b51
Database:
OpenAIRE

Further Information

The paper deals with the problem of construction of free-form curves based on a given data for approximation and a boundary value problem for an ordinary differential equation (ODE) [cf. \textit{M. I. G. Bloor} and \textit{H. Hagen}, Comput. Aided Geom. Design 12, 381--394 (1995; Zbl 0875.68933)]. Thus the ODE curve is defined and characterized. Discrete ODE curves are then introduced by studying the associated discrete problems in a space of splines. The solution of this discrete problems is computed and a few examples are given as illustrations.