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1994•Journal of the Japan Society for Precision EngineeringOpen access

Clothoidal Interpolation by Tangent Method Realizing Continuity of Curvature.

Shi-yu QIU, Hiroharu SUDA, Hiroshi Makino

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Curvature, Tangent, Interpolation (computer graphics), Mathematics, Torsion of a curve, Center of curvature, Point (geometry), Mathematical analysis

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