Results 141 to 150 of about 252 (177)
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Curves always lie in the plane spanned by Darboux frame
Rendiconti Del Circolo Matematico Di Palermo, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takeshi Takahashi
exaly +3 more sources
On a variational problem due to the B-Darboux frame in Euclidean 3-space
Mathematical Methods in the Applied Sciences, 2021In this paper, we introduce a new frame which is called the B‐Darboux frame on a surface in Euclidean 3‐space. We know that the parallel transport frame is derived from the Frenet frame along a space curve on a surface. Analogously, we derive the B‐Darboux frame from the Darboux frame along a space curve on a surface in Euclidean 3‐space.
Cumali Ekici +2 more
exaly +3 more sources
A new version of bienergies and biangles for curves framed by extended darboux frame
Soft Computing, 2021In this work, we research geometrical interpretation involved with the bienergy by ED-frame fields of the first and second types on an orientable hypersurface in $$\mathbb {E}^{4}$$ . We explore the geometric features of some charts by means of bienergy in
Körpınar, Talat, Ünlütürk, Yasin
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On The Darboux Frame Motion of a Developable Surface
2021Developable ruled surfaces and the rotation-minimizing frames (RMF) have a crucial importance in computer-aided geometric design (CAGD) because of being unfoldable (developable) into a plane without distortion. Also, the RMF of curves are generally used in computer graphics.
Bulut, Vahide, Çalışkan, Ali
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Tangent developables and Darboux developables of framed curves
Topology and its Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yanlin, Liu, Siyao, Wang, Zhigang
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Canonical Decomposition of the Instantaneous Kinematics of Darboux Frame
2020This paper gives a screw theoretic insight into the instantaneous kinematics of the Darboux frame (D-frame) moving on a smooth surface. It is established that the velocity state of D-frame is described by a three screw system. The principal screws of this system depend only upon the local shape of the surface.
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Darboux frames, snakes, and super-quadrics: geometry from the bottom-up
[1989] Proceedings. Workshop on Interpretation of 3D Scenes, 1993A representational and a computational model for deriving 3-D articulated volumetric descriptions of objects from laser rangefinder data is described. This method is purely bottom up: it relies on general assumptions cast in terms of differential geometry.
Frank P. Ferrie +2 more
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Estimating the principal curvatures and the Darboux frame from real 3D range data
Proceedings. First International Symposium on 3D Data Processing Visualization and Transmission, 2002Principal curvatures and the local Darboux frame are natural tools to be used during processes which involve extraction of geometric properties from three-dimensional (3-D) range data. As second-order features their estimations are highly sensitive to noise and therefore, until recent years, it was almost impractical to extract reliable results from ...
Eyal Hameiri, Ilan Shimshoni
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On the Parallel Ruled Surfaces with B-Darboux Frame
2017In this work, the geometric properties of parallel ruled surfaces associated with the B-Darboux frame (BDF) in $E%%TCIMACRO{\U{b3}}%%BeginExpansion{{}^3}%%EndExpansion$ are introduced. Firstly, these surfaces are presented, and their main characteristic properties, such as developability, stress points and dispersion parameter, are analyzed.
Dede, Mustafa +2 more
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