Clothoidal Interpolation by Tangent Method Realizing Continuity of Curvature

Autor:	Shi-yu Qiu, Hiroshi Makino, Hiroharu Suda
Rok vydání:	1994
Předmět:	Asymptotic curve Pedal curve Degree of curvature Mechanical Engineering Torsion of a curve Mathematical analysis Total curvature Center of curvature Mathematics::Differential Geometry Curvature Mathematics Osculating circle
Zdroj:	Journal of the Japan Society for Precision Engineering. 60:1596-1600
ISSN:	1882-675X 0912-0289
DOI:	10.2493/jjspe.60.1596
Popis:	The Clothoid is a planar curve, of which curvature is proportional to the length of the curve measured from the origin of the curve. In this paper a method of clothoidal interpolation by “tangent method” which can realize continuity of curvature is described. By applying the method smoother interpolation curve is obtained between freely given 2-dimensional point series. The criteria of continuous curvature is formulated by slightly correcting the tangents of given pass points. The algorithm of the method is mentioned and some results are shown.
Databáze:	OpenAIRE
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