Results 31 to 40 of about 824,488 (198)

Frenet Frame of a Curve

open access: yes, 2021
U ovom radu, bavit ćemo se Frenetovim trobridom krivulje \(c: I \rightarrow \mathbb{R}^{^{3}}, \mathbb{I}\subseteq \mathbb{R}\) koji predstavlja desnu ortonormiranu bazu od \(\mathbb{R}_{c(t)}^{3}\), tj.
Cvijetović, Anđela
core   +1 more source

Bronchoscope Tip Localization With Learned Airway Constraints and an Open Source Simulator

open access: yesAdvanced Intelligent Systems, EarlyView.
BronchoLoc addresses feature‐poor bronchoscopic imaging by combining monocular video with a preoperative CT graph to estimate 3D camera location. A local tracker identifies candidate branches, while a sequence‐aware global module refines the trajectory. Demonstrating sub‐centimeter accuracy across synthetic and phantom datasets, this framework advances
Emanuele Nicotra   +7 more
wiley   +1 more source

Construction of new curves on nth degree polynomial-type curves using the Flc frame

open access: yesDemonstratio Mathematica
In this study, first, the pedal curves were defined as the geometric locus of perpendicular projections onto the Frenet-like frame (Flc) vectors T, D 2, and D 1 of a given polynomial curve.
Şenyurt Süleyman, Damar Esra
doaj   +1 more source

Multi‐Stage Social Value Orientation‐Based Lane‐Changing Driving for Autonomous Vehicles

open access: yesAdvanced Intelligent Systems, EarlyView.
A multi‐stage SVO framework is developed to dynamically infer the social preferences of surrounding vehicles from human driving data. By combining offline learning, online SVO estimation, temporal intention tracking, and interaction‐aware planning, the framework enables autonomous vehicles to adapt lane‐changing decisions and trajectories to evolving ...
Nongrui Qin   +4 more
wiley   +1 more source

On Geometric Phase Model in the Theory of Curves With Myller Configuration

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir   +2 more
wiley   +1 more source

Discrete Frenet frame vectors (1), (2) and (3).

open access: yes, 2019
Discrete Frenet frame vectors (1), (2) and (3).
Xubiao Peng (3499010)   +4 more
core   +1 more source

On the Characterization of Smarandache Curves of Fractional Order in Euclidean 3-Space

open access: yesFractal and Fractional
This paper investigates and characterizes Smarandache space curves, an important class of curves, using the Caputo fractional Frenet frame. The Frenet frame and fractional curvature functions have been calculated for these fractional Smarandache curves ...
Aykut Toplama   +2 more
doaj   +1 more source

Special helices on equiform differential geometry of timelike curves in E_1^4

open access: yesCumhuriyet Science Journal, 2021
In this paper, we introduce the moving Frenet frame along the timelike curve in E_1^4 and then Frenet formulas with the equiform parameter in the equiform geometry of the Minkowski space-time.
Fatma Bulut
doaj  

Map‐Matching With Recursive Bayes Filter and Context‐Dependent Transition Dynamics for Scene Modeling in Automated Driving

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We present an efficient multi‐object map‐matching approach for scene modeling in the context of automated driving. The mapping of traffic participants to the road topology is a key component of the scene modeling step in the processing pipeline for situation‐aware automated driving.
Maximilian Gerwien, Klaus Röbenack
wiley   +1 more source

Some integral curves with a new frame

open access: yesOpen Mathematics, 2020
In this paper, some new integral curves are defined in three-dimensional Euclidean space by using a new frame of a polynomial spatial curve. The Frenet vectors, curvature and torsion of these curves are obtained by means of new frame and curvatures.
Güven İlkay Arslan
doaj   +1 more source

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