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Curvature continuous offset approximation based on circle approximation using quadratic Bézier biarcs

✍ Scribed by Young Joon Ahn; Christoph Hoffmann; Yeon Soo Kim

Book ID: 104006517
Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 424 KB
Volume: 43
Category: Article
ISSN: 0010-4485
DOI: 10.1016/j.cad.2011.04.005

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✦ Synopsis

We present a method for G 2 end-point interpolation of offset curves using rational Bézier curves. The method is based on a G 2 end-point interpolation of circular arcs using quadratic Bézier biarcs. We also prove the invariance of the Hausdorff distance between two compatible curves under convolution. Using this result, we obtain the exact Hausdorff distance between an offset curve and its approximation by our method. We present the approximation algorithm and give numerical examples.

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