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A new version of bienergies and biangles for curves framed by extended darboux frame

Soft Computing, 2021
In 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
openaire   +4 more sources

Curves always lie in the plane spanned by Darboux frame

Rendiconti del Circolo Matematico di Palermo Series 2, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On The Darboux Frame Motion of a Developable Surface

2021
Developable 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
openaire   +2 more sources

Darboux frames, snakes, and super-quadrics: geometry from the bottom-up

[1989] Proceedings. Workshop on Interpretation of 3D Scenes, 1993
A 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.
F.P. Ferrie, J. Lagarde, P. Whaite
openaire   +1 more source

Canonical Decomposition of the Instantaneous Kinematics of Darboux Frame

2020
This 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.
openaire   +1 more source

Estimating the principal curvatures and the Darboux frame from real 3D range data

Proceedings. First International Symposium on 3D Data Processing Visualization and Transmission, 2002
Principal 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 ...
E, Hameiri, I, Shimshoni
openaire   +2 more sources

Estimating curvatures and the Darboux frame from unorganised noisy point cloud

International Journal of Materials and Product Technology, 2008
Curvatures and the Darboux frame are useful tools for surface classification and 3D object recognition. However, it is still challenging for estimating these features on unorganised noisy points. A method is proposed to calculate these features from a general quadric surface fitted at each point.
Yu Liu, ZhouPing Yin, YouLun Xiong
openaire   +1 more source

ADAPTED FRAME AND DARBOUX TYPE VECTOR OF SPACELIKE FRAMED CURVES

Proceeding Book of 4th International Conference on Engineering and Applied Natural Sciences ICEANS 2023, 2023
openaire   +1 more source

Cervical cancer prevention and control in women living with human immunodeficiency virus

Ca-A Cancer Journal for Clinicians, 2021
Philip E Castle, Vikrant V Sahasrabuddhe
exaly  

Designing spatial and temporal control of vaccine responses

Nature Reviews Materials, 2021
Shih Hao Ou, Wei Luo, Bali Pulendran
exaly  

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