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Curvature continuous offset approximation based on circle approximation using quadratic Bézier biarcs |
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| Authors: | Young Joon Ahn Christoph Hoffmann Yeon Soo Kim |
| Affiliation: | aDepartment of Mathematics Education, Chosun University, Gwangju, 501–759, South Korea;bDepartment of Computer Science, Purdue University, West Lafayette, IN 47907, USA;cDepartment of Mathematics, Ajou University, Suwon, 442–749, South Korea |
| Abstract: | We present a method for G2 end-point interpolation of offset curves using rational Bézier curves. The method is based on a G2 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. |
| Keywords: | Offset curve Hausdorff distance Convolution curve Curvature continuous interpolation Circle approximation Quadratic Bé zier biarcs |
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