The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform
C W Kwan - One of the best experts on this subject based on the ideXlab platform.
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a note on local influence based on Normal Curvature
Journal of The Royal Statistical Society Series B-statistical Methodology, 1997Co-Authors: Wing K Fung, C W KwanAbstract:SUMMARY Object functions other than the likelihood displacement, such as a parameter estimate or a test statistic, can also be used in local influence analysis. The Normal Curvatures of these object functions have been studied in situations where the slopes were non-zero. In these situations, we show that the Normal Curvature is not scale invariant and thus ambiguous conclusions will be drawn. Comments on the application of the general Normal Curvature formula are presented.
Hyouk Ryeol Choi - One of the best experts on this subject based on the ideXlab platform.
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Exploration of unknown object by active touch of robot hand
International Journal of Control Automation and Systems, 2020Co-Authors: Mina Choi, Hyungpil Moon, Hyouk Ryeol ChoiAbstract:This paper proposes a method of exploring the local shape of an unknown object using the force and torque information obtained from active touch. In the first, we present a method to estimate an unknown Curvature, using rolling and sliding motion with a force/torque sensor attached to the fingertip of the hand. Then, the Normal Curvature equation from 2D Curvatures is obtained. Finally we present a reconstruction algorithm of local geometry by using a Normal Curvature equation, which is composed of principal Curvatures and principal directions. The method is tested by using a hand-arm system consisting of an industrial robot arm and an anthropomorphic robot hand with 6-axis force/torque sensor. The feasibility of the proposed method is experimentally validated for objects with simple geometries such as cylinder, spheres etc.
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Exploration and reconstruction of unknown object by active touch of robot hand
Intelligent Service Robotics, 2015Co-Authors: Yong Bum Kim, W S You, Gitae Kang, Gun Kyu Yee, Anna Kim, Fengyi Liu, Young Hun Lee, Ja Choon Koo, Hyungpil Moon, Hyouk Ryeol ChoiAbstract:This paper proposes a method of exploring the global shape of an unknown object using information on local geometric features. In the first, we introduce a rolling and sliding motion of a fingertip with a force/torque sensor to estimate an unknown local Curvature. Also, a recognition algorithm for local geometry using Normal Curvature equations is presented, which are composed of principal Curvatures and principal direction. Finally, to reconstruct the global shape of the object, we propose an interpolation method using principal Curvatures at contact points. The proposed method is verified using a hand-arm system consisting of an industrial robot arm and an anthropomorphic robot hand with a 6-axis force/torque sensor. The effectiveness of the proposed method is experimentally validated for different type of objects.
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Exploration of unknown object by active touch of robot hand
International Journal of Control Automation and Systems, 2014Co-Authors: Min Jeong Kim, Mina Choi, Fengyi Liu, Yong Bum Kim, Ja Choon Koo, Hyungpil Moon, Hyouk Ryeol ChoiAbstract:This paper proposes a method of exploring the global shape of an unknown object using information on local geometric features. In the first, we introduce a rolling and sliding motion of a fingertip with a force/torque sensor to estimate an unknown local Curvature. Also, a recognition algorithm for local geometry using Normal Curvature equations is presented, which are composed of principal Curvatures and principal direction. Finally, to reconstruct the global shape of the object, we propose an interpolation method using principal Curvatures at contact points. The proposed method is verified using a hand-arm system consisting of an industrial robot arm and an anthropomorphic robot hand with a 6-axis force/torque sensor. The effectiveness of the proposed method is experimentally validated for different type of objects. © 2015, Springer-Verlag Berlin Heidelberg.
Oscar J Garay - One of the best experts on this subject based on the ideXlab platform.
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critical curves for the total Normal Curvature in surfaces of 3 dimensional space forms
Journal of Mathematical Analysis and Applications, 2012Co-Authors: Manuel Barros, Oscar J GarayAbstract:Abstract A variational problem closely related to the bending energy of curves contained in surfaces of real 3-dimensional space forms is considered. We seek curves in a surface which are critical for the total Normal Curvature energy (and its generalizations). We start by deriving the first variation formula and the corresponding Euler–Lagrange equations of these energies and apply them to study critical special curves (geodesics, asymptotic lines, lines of Curvature) on surfaces. Then, we show that a rotation surface in a real space form for which every parallel is a critical curve must be a special type of a linear Weingarten surface. Finally, we give some classification and existence results for this family of rotation surfaces.
Luc Vrancken - One of the best experts on this subject based on the ideXlab platform.
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Three-dimensional submanifolds of $\E^5$ with extremal Normal Curvature
arXiv: Differential Geometry, 2006Co-Authors: Franki Dillen, Joeri Van Der Veken, Luc VranckenAbstract:The main result of this paper was already obtained in the paper `Some Remarks on the Geometry of Austere Manifolds', by Robert L. Bryant.
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A pointwise inequality in submanifold theory
1999Co-Authors: P J De Smet, Franki Dillen, Leopold Verstraelen, Luc VranckenAbstract:We obtain a pointwise inequality valid for all submanifolds $M^n$ of all real space forms $N^{n+2}(c)$ with $n\ge 2$ and with codimension two, relating its main scalar invariants, namely, its scalar Curvature from the intrinsic geometry of $M^n$, and its squared mean Curvature and its scalar Normal Curvature from the extrinsic geometry of $M^n$ in $N^m(c)$.
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the Normal Curvature of totally real submanifolds of s6 1
Glasgow Mathematical Journal, 1998Co-Authors: P J De Smet, Franki Dillen, Leopold Verstraelen, Luc VranckenAbstract:We prove the pointwise inequality 0 > p + p L — 1 involving the Normalized scalar Curvature p and Normal scalar Curvature p 1 of a totally real 3-dimensional sub- manifold of the nearly Kaehler 6-sphere. Further we classify submanifolds realizing the equality in this inequality.
Wing K Fung - One of the best experts on this subject based on the ideXlab platform.
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a note on local influence based on Normal Curvature
Journal of The Royal Statistical Society Series B-statistical Methodology, 1997Co-Authors: Wing K Fung, C W KwanAbstract:SUMMARY Object functions other than the likelihood displacement, such as a parameter estimate or a test statistic, can also be used in local influence analysis. The Normal Curvatures of these object functions have been studied in situations where the slopes were non-zero. In these situations, we show that the Normal Curvature is not scale invariant and thus ambiguous conclusions will be drawn. Comments on the application of the general Normal Curvature formula are presented.
