Constructions of interpolation curves from given supporting elements. II
Applications of Mathematics, Tome 31 (1986) no. 2, pp. 141-162
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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.
DOI :
10.21136/AM.1986.104193
Classification :
41A05, 65D05, 65D10
Keywords: curves; curvature; prescribed tangent vectors; Lienhard's interpolation
Keywords: curves; curvature; prescribed tangent vectors; Lienhard's interpolation
@article{10_21136_AM_1986_104193,
author = {Matu\v{s}\r{u}, Josef and Nov\'ak, Josef},
title = {Constructions of interpolation curves from given supporting elements. {II}},
journal = {Applications of Mathematics},
pages = {141--162},
publisher = {mathdoc},
volume = {31},
number = {2},
year = {1986},
doi = {10.21136/AM.1986.104193},
mrnumber = {0837474},
zbl = {0628.65004},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104193/}
}
TY - JOUR AU - Matušů, Josef AU - Novák, Josef TI - Constructions of interpolation curves from given supporting elements. II JO - Applications of Mathematics PY - 1986 SP - 141 EP - 162 VL - 31 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104193/ DO - 10.21136/AM.1986.104193 LA - en ID - 10_21136_AM_1986_104193 ER -
%0 Journal Article %A Matušů, Josef %A Novák, Josef %T Constructions of interpolation curves from given supporting elements. II %J Applications of Mathematics %D 1986 %P 141-162 %V 31 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104193/ %R 10.21136/AM.1986.104193 %G en %F 10_21136_AM_1986_104193
Matušů, Josef; Novák, Josef. Constructions of interpolation curves from given supporting elements. II. Applications of Mathematics, Tome 31 (1986) no. 2, pp. 141-162. doi: 10.21136/AM.1986.104193
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