Geodesic
Constructions of interpolation curves from given supporting elements. II
Applications of Mathematics, Tome 31 (1986) no. 2, pp. 141-162 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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     title = {Constructions of interpolation curves from given supporting elements. {II}},
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     year = {1986},
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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

[1] H. Lienhard: Interpolation von Funktionswerten bei numerischen Bahnsteuerungen. Undated publication of CONTRAVES AG, Zürich. | Zbl

[2] J. Matušů: The Lienhard interpolation method and some of its generalizations. (in Czech). Acta Polytechnica - Práce ČVUT, Prague, 3 (IV, 2), 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. | MR

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