Efficient merging of multiple segments of Bézier curves

Paweł Woźny, Przemysław Gospodarczyk and Stanisław Lewanowicz

Applied Mathematics and Computation, 2015, vol. 268, issue C, 354-363

Abstract: This paper deals with the merging problem of segments of a composite Bézier curve, with the endpoints continuity constraints. We present a novel method which is based on the idea of using constrained dual Bernstein polynomial basis (Woźny and Lewanowicz, 2009) [12] to compute the control points of the merged curve. Thanks to using fast schemes of evaluation of certain connections involving Bernstein and dual Bernstein polynomials, the complexity of our algorithm is significantly less than complexity of other merging methods.

Keywords: Composite Bézier curve; Constrained dual Bernstein basis; Merging; Multiple segments; Ck,l continuity (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:354-363

DOI: 10.1016/j.amc.2015.06.079

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