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“…Since the RMF is defined relative to the ERF, we need to determine the initial and final orientations of the latter. From (6), (11), and (24), the ERF normal plane vectors at ξ = 0 and 1 can be written as…”

confidence: 99%

“…Since the RMF is defined relative to the ERF, we need to determine the initial and final orientations of the latter. From (6), (11), and (24), the ERF normal plane vectors at ξ = 0 and 1 can be written as…”

confidence: 99%

“…Parametric curves constitute a classical and important topic in computational algebra and geometry [38] that constantly receives attention, e.g., [11,13,35,39]. The interest in efficient algorithms for computing with parametric curves has been motivated, among others, by the omnipresence of parametric representations in computer modeling and computer aided geometric design, e.g., [16].…”

confidence: 99%

“…Parametric curves constitute a classical and important topic in computational algebra and geometry (Sendra and Winkler, 1999) that constantly receives attention, e.g., (Sederberg, 1986;Cox et al, 2011;Busé et al, 2019;Sendra et al, 2008). The motivation behind the continuous Email addresses: christina.katsamaki@inria.fr (Christina Katsamaki), Fabrice.Rouillier@inria.fr (Fabrice Rouillier), elias.tsigaridas@inria.fr (Elias Tsigaridas), zafeirakopoulos@gtu.edu.tr (Zafeirakis Zafeirakopoulos) 1 arXiv:2101.01925v1 [cs.SC] 6 Jan 2021 interest in efficient algorithms for computing with parametric curves emanates, among others reasons, by the omnipresence of parametric representations in computer modeling and computer aided geometric design, e.g., (Farouki et al, 2010).…”

confidence: 99%