Algorithmic computation of the bishop frame of the rational Bezier curves with augmented reality applications
Sign Up to like & getrecommendations! Published in 2025 at "Engineering Computations"
DOI: 10.1108/ec-06-2024-0499
Abstract: PurposeBezier curves are widely used in computer-aided geometric design (CAGD) for modeling objects such as aircraft, cars and ships. Augmented reality applications are an important type of new-generation technology that is increasingly being used in… read more here.
Keywords: bezier; bishop frame; rational bezier; bezier curves ... See more keywords
On bishop frame of a partially null curve in Minkowski space-time E41
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DOI: 10.2298/fil2404439d
Abstract: In this paper, we introduce Bishop frame of a partially null curve ? in Minkowski space-time E41 . We prove that such curve has three Bishop frames determined by the particular solutions of the third… read more here.
Keywords: frame partially; partially null; bishop frame; frame ... See more keywords
Lorentzian Structure and Curvature Analysis of Osculating Type-2 Ruled Surfaces via the Type-2 Bishop Frame
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DOI: 10.3390/math13213464
Abstract: This study investigates the geometry of osculating type-2 ruled surfaces in Minkowski 3-space E13, formulated through the Type-2 Bishop frame associated with a spacelike curve whose principal normal is timelike and binormal is spacelike. Using… read more here.
Keywords: type bishop; type; bishop frame; bishop ... See more keywords
Sweeping Surfaces Due to Conjugate Bishop Frame in 3-Dimensional Lie Group
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DOI: 10.3390/sym15040910
Abstract: In this work, we present a new Bishop frame for the conjugate curve of a curve in the 3-dimensional Lie group G3. With the help of this frame, we derive a parametric representation for a… read more here.
Keywords: lie group; bishop frame; dimensional lie;
On Bishop frame of a pseudo null curve in Minkowski space-time
Sign Up to like & getrecommendations! Published in 2020 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1910-11
Abstract: In this paper, we introduce the Bishop frame of a pseudo null curve $\alpha$ in Minkowski space-time. We obtain the Bishop frame's equations and the relation between the Frenet frame and the Bishop frame. We… read more here.
Keywords: bishop; frame; space time; bishop frame ... See more keywords