On the Bertrand Pairs of Open Non-Uniform Rational B-Spline Curves
Küçük Resim Yok
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Singapore Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
B-spline curves are used basically in Computer-Aided Design (CAD), Computer-Aided Geometric Design (CAGD), and Computer-Aided Modeling (CAM). In determining the invariants of curves and surfaces at any point, there are some difficulties in expressing it analytically and calculating its invariants at the desired point. For these curves and surfaces the way to overcome these difficulties is to design them with spline curves and surfaces. In this paper the second- and third-order derivatives of open Non-Uniform Rational B-Spline (NURBS) curves at the points t = t(d), t = t(m-d), and arbitrary point in domain of these curves are given. In addition, the Frenet vector fields and curvatures of these open NURBS curves were expressed by their control points. The relationships between control points were expressed when given two open NURBS curves occurred as Bertrand curve pairs at the points t = t(d), t = t(m-d), and arbitrary point in domain of these curves.
Açıklama
International Conference on Mathematical Analysis and Applications (MAA) -- NOV 02-04, 2020 -- ELECTR NETWORK
Anahtar Kelimeler
Nurbs Curves, Bertrand Pairs, Open Spline, Frenet Frame
Kaynak
Mathematical Analysis And Applications, Maa 2020
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
381
