The Intrinsic Equation of Planar Curves and G2 Hermite Interpolation

Jens Gravesen

The Intrinsic Equation of Planar Curves and G2 Hermite Interpolation

Research output: Book/Report › Report › Research › peer-review

Abstract

This paper presents the intrinsic equation of a planar curve as a practical tool for curve design. It is demonstrated that the tangent direction, the arc length, and the curvature is readily available. It is furthermore shown that a parametrization of the curve by tangent direction is easily obtained, as are the evolute, the involutes and the offsets. It is finally shown how Hermite data can be fitted in a local and convexity preserving way.

Original language	English

Publication status	Published - 2004

Series	Mat-Report
Number	2004-02

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abstract = "This paper presents the intrinsic equation of a planar curve as a practical tool for curve design. It is demonstrated that the tangent direction, the arc length, and the curvature is readily available. It is furthermore shown that a parametrization of the curve by tangent direction is easily obtained, as are the evolute, the involutes and the offsets. It is finally shown how Hermite data can be fitted in a local and convexity preserving way.",

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