Walton & Meek [13] obtained a fair G(2) cubic transition spiral curve joining a straight line and a circle. We derive a family of cubic transition spiral curves joining them. We not only simplify and extend their analysis but also provide more degrees of freedom with less restrictive shape control parameters. The idea of straight line to circle transition has been extended to straight line to straight line transition which is more flexible and comfortable for practical use.
机构:
Seoul Natl Univ, Dept Math Sci, Seoul 151747, South KoreaSeoul Natl Univ, Dept Naval Architecture & Ocean Engn, Seoul 151744, South Korea
Hur, Seok
Kim, Tae-wan
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机构:
Seoul Natl Univ, Dept Naval Architecture & Ocean Engn, Seoul 151744, South Korea
Seoul Natl Univ, Res Inst Marine Syst Engn, Seoul 151744, South KoreaSeoul Natl Univ, Dept Naval Architecture & Ocean Engn, Seoul 151744, South Korea