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\iteman{io-port 06083321}
\itemau{Kunkli, Roland}
\itemti{Biarc analysis for skinning of circles.}
\itemso{Ann. Math. Inform. 38, 87-93 (2011).}
\itemab
Summary: By circle skinning we have a discrete set of circles and we would like to find two curves, which touch each of them and satisfy some conditions. There exist methods to give a solution for this problem, but none of them use biarcs for the construction. {\it D.~S.~Meek} and {\it D.~J.~Walton} [J. Comput. Appl. Math. 212, No. 1, 31--45 (2008; Zbl 1133.68079)] published a very deep analysis of biarcs, and they divided them into several families. Of course one of the basic problems is to find the mentioned curves for two circles. In this paper several necessary conditions are given to avoid intersections in this basic case between the skinning curve and the circles using a concrete family of biarcs from {\it D.~S.~Meek} and {\it D.~J.~Walton} [J. Comput. Appl. Math. 212, No. 1, 31-45 (2008; Zbl 1133.68079)]. A method is published in {\it R.~Kunkli} and {\it M.~Hoffmann} [Comput. Aided Geom. Des. 27, No. 8, 611--621 (2010; Zbl 1205.65039)] with which we can find the touching points for the skinning.
\itemrv{~}
\itemcc{}
\itemut{skinning; biarcs; interpolation; circles}
\itemli{}
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