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Finite quadric segments with four conic boundary curves. (English) Zbl 0716.65012

Authors’ abstract: Finite quadric segments bounded by four plane curves and smooth in the sense of differential geometry are considered. Such a quadric segment which can swept by one conic possesses a representation \(x=x(u,v)\) on [0,1]\(\times [0,1]\) as rational tensor product Bézier surface of degree (m,n) with \(m\leq 6\) and \(n\leq 2\). This is founded on known facts concerning rational Bézier representations of conics from the viewpoint of stereographic projection. Some special cases are investigated, especially patches on ruled quadrics bounded by four line segments.
Reviewer: C.Simerská

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
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References:

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