Results 1 to 10 of about 252 (177)

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, Tosun Murat, Akyiğit Mahmut   +2 more
doaj   +2 more sources

Bertrand Offsets of Ruled Surfaces with Darboux Frame

Results in Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim Yüce, GÜlsÜm Yelİz ŞentÜrk
exaly   +5 more sources

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
doaj   +2 more sources

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, Kai Zhong, Zhongwei Li, Ming Zhou, Hongbin Hu, Congjun Wang, Yusheng Shi   +6 more
doaj   +2 more sources

Dual Darboux Frame of a Timelike Ruled Surface and Darboux Approach to Mannheim Offsets of Timelike Ruled Surfaces [PDF]

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2013
12 ...
Mehmet Önder, H Huseyin Ugurlu
exaly   +4 more sources

Darboux Frame of Pancake Curve in Euclidean 3-Space

Cumhuriyet Science Journal
In 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
doaj   +3 more sources

Exploring Harmonic Evolute Geometries Derived from Tubular Surfaces in Minkowski 3-Space Using the RM Darboux Frame

Mathematics
In this study, We explore for Minkowski 3-space E13 harmonic surfaces’ geometric features by employing a common tangent vector field along a curve situated on the surface.
Emad Solouma, Sayed Saber, Haci Mehmet Baskonus   +2 more
doaj   +3 more sources

On the Darboux vector of a new fractional frame

Journal of Applied Mathematics and Computational Mechanics
Aykut Toplama, Mustafa Dede
doaj   +2 more sources

Some Special Ruled Surfaces Generated by a Direction Curve according to the Darboux Frame and their Characterizations

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
doaj   +1 more source

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
doaj   +1 more source