Results 61 to 70 of about 75,869 (97)

S^2 Üzerindeki Eğriler için Frenet- Serret Çatıları

open access: yes, 2008
Bu çalışma beş bölümden oluşmaktadır.Birinci bölümde tezin içeriği ile ilgili giriş yapıldı.İkinci bölümde, eğriler teorisi hakkında temel tanım ve teoremler verildi.Üçüncü bölümde, eğrilikler hakkında tanımlar ve teoremler ifade ve ispat edildi.Dördüncü
Abdullah ÖRNEK
core  

Planning rigid body motions using elastic curves [PDF]

open access: yes, 2008
This paper tackles the problem of computing smooth, optimal trajectories on the Euclidean group of motions SE(3). The problem is formulated as an optimal control problem where the cost function to be minimized is equal to the integral of the classical ...
Biggs, James, Holderbaum, William
core   +1 more source

Frenet-Serret and the Estimation of Curvature and Torsion

open access: yes, 2013
In this paper we approach the problem of analyzing space-time curves. In terms of classical geometry, the characterization of space-curves can be summarized in terms of a differential equation involving functional parameters curvature and torsion whose ...
Kim, Kwang-Rae   +3 more
core   +1 more source

Tracking the Frenet-Serret frame associated to a highly maneuvering target in 3D

open access: yes, 2017
In this paper we consider the problem of tracking a maneuvering aircraft. The dynamical model used is based on assumptions of nearly constant tangential velocity, curvature, and torsion, of the target trajectory.
Pilté, Marion   +2 more
core   +3 more sources

From the classical Frenet-Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part I. Stationary Hamiltonians [PDF]

open access: yes
It is known that the Frenet-Serret apparatus of a space curve in three-dimensional Euclidean space determines the local geometry of curves. In particular, the Frenet-Serret apparatus specifies important geometric invariants, including the curvature and ...
Cafaro, Carlo, Alsing, Paul M.
core   +1 more source

Mini-quadrotor Attitude Control based on Hybrid Backstepping & Frenet-Serret Theory [PDF]

open access: yes, 2010
This paper is about modeling and control of miniature quadrotors, with a special emphasis on attitude control. Mathematical models for simulation and nonlinear control approaches are introduced and subsequently applied to commercial aircraft: the ...
Pereira Valente, Joao Ricardo   +4 more
core  

Frenet-Serret-Based Trajectory Prediction

open access: yes
Trajectory prediction is a crucial element of guidance, navigation, and control systems. This paper presents two novel trajectory-prediction methods based on real-time position measurements and adaptive input and state estimation (AISE). The first method,
Verma, Shashank, Bernstein, Dennis S.
core   +2 more sources

Vertebral artery fusiform aneurysm geometry in predicting rupture risk. [PDF]

open access: yesR Soc Open Sci, 2018
Zhao X   +7 more
europepmc   +1 more source

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