Constructions of interpolation curves from given supporting elements. II

Josef Matušů; Josef Novák

Aplikace matematiky (1986)

  • Volume: 31, Issue: 2, page 141-162
  • ISSN: 0862-7940

Abstract

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This paper deals with the constructions of interpolation curves which pass through given supporting points (nodes) and touch supporting tangent vectors given at only some of these points or, as the case may be, at all these points. The mathematical kernel of these constructions is based on the Lienhard's interpolation method. Formulae for the curvature of plane and space interpolation curves are derived.

How to cite

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Matušů, Josef, and Novák, Josef. "Constructions of interpolation curves from given supporting elements. II." Aplikace matematiky 31.2 (1986): 141-162. <http://eudml.org/doc/15443>.

@article{Matušů1986,
abstract = {This paper deals with the constructions of interpolation curves which pass through given supporting points (nodes) and touch supporting tangent vectors given at only some of these points or, as the case may be, at all these points. The mathematical kernel of these constructions is based on the Lienhard's interpolation method. Formulae for the curvature of plane and space interpolation curves are derived.},
author = {Matušů, Josef, Novák, Josef},
journal = {Aplikace matematiky},
keywords = {curves; curvature; prescribed tangent vectors; Lienhard's interpolation; curves; curvature; prescribed tangent vectors; Lienhard's interpolation},
language = {eng},
number = {2},
pages = {141-162},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Constructions of interpolation curves from given supporting elements. II},
url = {http://eudml.org/doc/15443},
volume = {31},
year = {1986},
}

TY - JOUR
AU - Matušů, Josef
AU - Novák, Josef
TI - Constructions of interpolation curves from given supporting elements. II
JO - Aplikace matematiky
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 2
SP - 141
EP - 162
AB - This paper deals with the constructions of interpolation curves which pass through given supporting points (nodes) and touch supporting tangent vectors given at only some of these points or, as the case may be, at all these points. The mathematical kernel of these constructions is based on the Lienhard's interpolation method. Formulae for the curvature of plane and space interpolation curves are derived.
LA - eng
KW - curves; curvature; prescribed tangent vectors; Lienhard's interpolation; curves; curvature; prescribed tangent vectors; Lienhard's interpolation
UR - http://eudml.org/doc/15443
ER -

References

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  1. H. Lienhard, Interpolation von Funktionswerten bei numerischen Bahnsteuerungen, Undated publication of CONTRAVES AG, Zürich. Zbl0147.35803
  2. J. Matušů, The Lienhard interpolation method and some of its generalizations, (in Czech). Acta Polytechnica - Práce ČVUT, Prague, 3 (IV, 2), 1978. (1978) 
  3. J. Matušů J. Novák, Constructions of interpolation curves from given supporting elements (I), The publication is to appear in the 1985 volume of the journal Aplikace matematiky, Prague. (1985) MR0813532

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