Results 111 to 120 of about 824,488 (198)
Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame
IEEE AccessAccurate modeling and control of autonomous vehicles remain a fundamental challenge due to the nonlinear and coupled nature of vehicle dynamics. While Koopman operator theory offers a framework for deploying powerful linear control techniques, learning a
Mohammad Abtahi +3 more
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Sweeping Surfaces of Polynomial Curves in Euclidean 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this study, we investigate the surfaces created by the movement of the profile curves through the regular polynomial spine curves. To overcome the restrictions of establishing a frame of the polynomial curves at the points where the second and higher ...
Zhu Yuting +3 more
doaj +1 more source
Generalized Frenet frames and frame sequences of singular space curves
13 pages, 2 ...
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The Fermi–Walker Derivative and Non-rotating Frame in Dual Space
, 2018 WOS: 000427260400029In this study, we defined Fermi-Walker derivative in dual space D-3. Fermi-Walker transport, non-rotating frame and Fermi-Walker termed Darboux vector by using Fermi-Walker derivative are given in dual space D-3.
Yayli, Yusuf +5 more
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A Note on the Serret-Frenet Frame for Spacelike Curves
Muş Alparslan Üniversitesi Fen Bilimleri DergisiIn this study, a system of equations is introduced to characterize spacelike curves with timelike principal normal vector field in three‑dimensional Minkowski space. The formulation expresses the Serret-Frenet equations with respect to the curvature κ and a rotation angle θ around the osculating plane, providing a structured representation of the ...
openaire +1 more source
Mannheim curves with modified orthogonal frame in Euclidean 3-space
, 2019 In this paper, we investigate Mannheim pairs, Frenet-Mannheim curves, and weakened Mannheim curves with respect to the modified orthogonal frame in Euclidean 3-space (E-3).
Lone, Mohamd Saleem and Es, Hasan and Karacan, Murat Kemal and Bukcu, Bahaddin
core +1 more source
Moving frame along a curve [PDF]
, 2017 RESUMEN: La noción de referencia móvil a lo largo de una curva en R3 se puede generalizar en varios contextos. Se pretende dar un marco general, estudiando los movimientos en R3 y viendo diferentes interpretaciones del grupo de las rotaciones SO(3), para
López Arbiza, Vera
core
Biased statistical ensembles for developable ribbons. [PDF]
Proc Natl Acad Sci U S A, 2023 van der Heijden GHM, Starostin EL.
europepmc +1 more source
The geometric role of the time parameter in DNA base-pair genetic information exchange and assembly: applications of Frenet-Serret formulas to circular and elliptical helix models. [PDF]
RSC AdvChen MR +3 more
europepmc +1 more source