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Lines of curvature near principal cycles

Annals of Global Analysis and Geometry, 1992
If a surface \(\alpha\) admits a closed line of curvature of multiplicity \(n\), the authors show that there exist local coordinates following \textit{F. Takens} [Ann. Inst. Fourier 23, No. 2, 163-195 (1973; Zbl 0266.34046)] for which the curvature lines are given by \(du = 0\), \(dv-v^ n(a- bv^{n-1})du = 0\), \(a\), \(b\) depending on the \(2n+1\)-jet
R Garcia, Jorge Sotomayor
exaly   +4 more sources

Holonomy of a foliation by principal curvature lines

Bulletin of the Brazilian Mathematical Society, New Series, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garcia, Ronaldo   +2 more
openaire   +3 more sources

Experimental Evaluation of 3D Ultrasound Palmprint Recognition Techniques Based on Curvature Methods and Under Skin Principal Lines

Applications in Electronics Pervading Industry, Environment and Society, 2017
In this work, two procedures to extract 3D Palmprint features from a 3D ultrasound image of the human palm are presented and experimentally evaluated by using a database composed of 172 samples from 71 different users. Appreciable recognition results were found.
Antonio Iula, Donatella Nardiello
openaire   +2 more sources

Surface Fairing towards Regular Principal Curvature Line Networks

Computer Graphics Forum, 2019
AbstractFreeform surfaces whose principal curvature line network is regularly distributed, are essential to many real applications like CAD modeling, architecture design, and industrial fabrication. However, most designed surfaces do not hold this nice property because it is hard to enforce such constraints in the design process.
Lei Chu   +3 more
openaire   +1 more source

Point2Lane: Polyline-Based Reconstruction With Principal Points for Lane Detection

IEEE transactions on intelligent transportation systems (Print), 2023
In this work, we observed that a nonlinear line could be expressed with a set of linear lines. We propose a novel lane detection method with polyline-based reconstruction based on this hypothesis. We define the optimal principal points with a new metric,
Y. Chae   +5 more
semanticscholar   +1 more source

HARMONIC MEAN CURVATURE LINES ON SURFACES IMMERSED IN R 3

, 2003
Consider oriented surfaces immersed in % MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX! % MathType!MTEF!2!1!+- % feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D ...
Ronaldo Garcia, J. Sotomayor
semanticscholar   +2 more sources

Study on Induced Principal Curvature and Induced Principal Direction Based on Normal Vector of Instantaneous Contact Line

Volume 10: ASME 2015 Power Transmission and Gearing Conference; 23rd Reliability, Stress Analysis, and Failure Prevention Conference, 2015
The computing formulae, in different forms, for the normal vector of the instantaneous contact line are summarized systematically. For some of them, the distinct and sententious proof techniques are put forward. Based on the normal vector of the transient contact line, the computing formulae for the induced normal curvature and the induced geodesic ...
Yaping Zhao, Chenru Xi, Yimin Zhang
openaire   +1 more source

The influence of contact-point position and contact-line trend on entraining velocity and nonzero principal relative normal curvature of cylindrical worm gearing

Mechanism and Machine Theory, 2006
The object of this paper is to ascertain the influence of contact-point position and contact-line trend on the essential performance indexes (entraining velocity and radius of nonzero principal relative normal curvature) and to find their maximum and minimum values so as to provide criterions for evaluating (or to provide clues for improving) the ...
openaire   +1 more source

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