Results 1 to 10 of about 546 (113)
Whole mandibular canal segmentation using transformed dental CBCT volume in Frenet frame [PDF]
Heliyon, 2023 Accurate segmentation of the mandibular canal is essential in dental implant and maxillofacial surgery, which can help prevent nerve or vascular damage inside the mandibular canal.
Huanmiao Zhao +5 more
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Involutive sweeping surfaces with Frenet frame in Euclidean 3-space [PDF]
Heliyon, 2023 In this paper we first define the involutive sweeping surfaces as a new surface form. We then investigate singularity, Gaussian and mean curvatures of these surfaces. By calculating the Gaussian and mean curvatures of the involutive sweeping surfaces, we
Gökhan Köseoğlu, Mustafa Bilici
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Frenet frames and invariants of timelike ruled surfaces
Ain Shams Engineering Journal, 2013 In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame.
Mehmet Önder, H. Hüseyin Uğurlu
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Serret-Frenet Frame and Curvatures of Bézier Curves
Mathematics, 2018 The aim of this study is to view the role of Bézier curves in both the Euclidean plane E 2 and Euclidean space E 3 with the help of the fundamental algorithm which is commonly used in Computer Science and Applied Mathematics and without ...
Esra Erkan, Salim Yüce
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Reinforcement-Learning-Based Trajectory Learning in Frenet Frame for Autonomous Driving
Applied SciencesAutonomous driving is a complex problem that requires intelligent decision making, and it has recently garnered significant interest due to its potential advantages in convenience and safety.
Sangho Yoon +5 more
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Research on a Cooperative Adaptive Cruise Control (CACC) Algorithm Based on Frenet Frame With Lateral and Longitudinal Directions [PDF]
Sensors, 2023 Haobin Jiang, PingLi Ren
exaly +2 more sources
The Geometry of Bezier Curves in Minkowski 3−Space
Universal Journal of Mathematics and Applications, 2023 The scope of this paper is to look at some aspects of the differential geometry of Bezier curves in Minkowski space. For that purpose, we firstly introduce Frenet Bezier curve in Minkowski 3-space.
Ayşe Yılmaz Ceylan
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Constant Mean Curvature Surfaces Along a Spacelike Curve
Cumhuriyet Science Journal, 2022 We construct constant mean curvature surfaces along a given spacelike curve in 3 dimensional Minkowski space. We parametrically present these surfaces using the famous Frenet frame of the curve in question.
Ergin Bayram
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The flow-curvature of spacelike parametrized curves in the Lorentz plane
Pracì Mìžnarodnogo Geometričnogo Centru, 2022 We introduce and study a new frame and a new curvature function for a fixed parametrization of a spacelike curve in the Lorentz plane. This new frame is called flow-frame since it involves the time-dependent rotation of the usual Frenet flow.
Mircea Crasmareanu
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The Differential Equations of Conformable Curve in IR^2
Cumhuriyet Science Journal, 2023 In this paper, we get some characterizations of conformable curve in R^2. We investigate the conformable curve in R^2. We define the tangent vector of the curve using the conformable derivative and the arc parameter s.
Şeyda Özel, Mehmet Bektaş
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