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Siacci's Theorem According to Darboux Frame [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 The resolution of the acceleration vector of rigid body moving along a space curve is well known thanks to Siacci [1]. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane of the point
Ozen Kahraman Esen +2 more
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Smarandache Ruled Surfaces according to Darboux Frame in E3
Journal of Mathematics, 2021 This paper presents a new approach of constructing special ruled surfaces and aims to study their developability and minimalist conditions. Our concept opens opportunities for application in engineering, surface modeling, and architectural design.
Soukaina Ouarab
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PPTFH: Robust Local Descriptor Based on Point-Pair Transformation Features for 3D Surface Matching [PDF]
Sensors, 2021 Three-dimensional feature description for a local surface is a core technology in 3D computer vision. Existing descriptors perform poorly in terms of distinctiveness and robustness owing to noise, mesh decimation, clutter, and occlusion in real scenes ...
Lang Wu +6 more
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Darboux Frame of Pancake Curve in Euclidean 3-Space
Cumhuriyet Science JournalIn this paper, we focus on a rare curve, “The pancake curve” which was named by Robert Ferréol. We investigate the Darboux frame of the curve, and we calculate the curvatures: geodesic curvature, normal curvature, and geodesic torsion.
Emre Öztürk
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Characterisation of cylindrical curves. [PDF]
Mon Hefte Math, 2015 We employ moving frames along pairs of curves at constant separation to derive various conditions for a curve to belong to the surface of a circular ...
Starostin EL, van der Heijden GH.
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Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3
Abstract and Applied Analysis, 2021 In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in E3.
Soukaina Ouarab
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Computing Special Smarandache Curves According to Darboux Frame in Euclidean 4-Space
International Journal of Analysis and Applications, 2019 In this paper, we study some special Smarandache curves and their differential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we compute some of these curves which lie fully on a hypersurface in E4.
M. Khalifa Saad, M. A. Abd-Rabo
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Abstract and Applied Analysis, 2021 In this work, we consider the Darboux frame T,V,U of a curve lying on an arbitrary regular surface and we construct ruled surfaces having a base curve which is a V-direction curve.
Nidal Echabbi, Amina Ouazzani Chahdi
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TUBULAR SURFACES WITH DARBOUX FRAME IN GALILEAN 3-SPACE [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In this paper, we define tubular surface by using a Darboux frame instead of a Frenet frame. Subsequently, we compute the Gaussian curvature and the mean curvature of the tubular surface with a Darboux frame. Moreover, we obtain some characterizations for special curves on this tubular surface in a Galilean 3-space.
Kızıltuğ, Sezai +2 more
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Direction Curves Associated with Darboux Vectors Fields and Their Characterizations
International Journal of Mathematics and Mathematical Sciences, 2021 In this paper, we consider the Darboux frame of a curve α lying on an arbitrary regular surface and we use its unit osculator Darboux vector D¯o, unit rectifying Darboux vector D¯r, and unit normal Darboux vector D¯n to define some direction curves such ...
Nidal Echabbi, Amina Ouazzani Chahdi
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