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Curvature-Velocity Method for Differentially Steered Robots

by Todd M. Quasny , Larry D. Pyeatt, Jacquelyn L. Moore - IN PROCEEDINGS OF THE IASTED INTERNATIONAL CONFERENCE ON MODELLING, IDENTIFICATION, AND CONTROL , 2003
"... The obstacle avoidance problem has been a well researched topic by many robotics researchers. We focus on one popular solution to this problem, the Curvature-Velocity Method(CVM). In Simmons ' original paper [5], differentially steered (DS) robots where not considered thoroughly. This paper pre ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
The obstacle avoidance problem has been a well researched topic by many robotics researchers. We focus on one popular solution to this problem, the Curvature-Velocity Method(CVM). In Simmons ' original paper [5], differentially steered (DS) robots where not considered thoroughly. This paper

The Curvature-Velocity Method for Local Obstacle Avoidance

by Reid Simmons - In Proc. of the IEEE International Conference on Robotics and Automation , 1996
"... We present a new method for local obstacle avoidance by indoor mobile robots that formulates the problem as one of constrained optimization in velocity space. Constraints that stem from physical limitations (velocities and accelerations) and the environment (the configuration of obstacles) are place ..."
Abstract - Cited by 155 (7 self) - Add to MetaCart
We present a new method for local obstacle avoidance by indoor mobile robots that formulates the problem as one of constrained optimization in velocity space. Constraints that stem from physical limitations (velocities and accelerations) and the environment (the configuration of obstacles

Nonlinear total variation based noise removal algorithms

by Leonid I. Rudin, Stanley Osher, Emad Fatemi , 1992
"... A constrained optimization type of numerical algorithm for removing noise from images is presented. The total variation of the image is minimized subject to constraints involving the statistics of the noise. The constraints are imposed using Lagrange multipliers. The solution is obtained using the g ..."
Abstract - Cited by 2271 (51 self) - Add to MetaCart
to be state-of-the-art for very noisy images. The method is noninvasive, yielding sharp edges in the image. The technique could be interpreted as a first step of moving each level set of the image normal to itself with velocity equal to the curvature of the level set divided by the magnitude of the gradient

The Lane-Curvature Method for Local Obstacle Avoidance

by Nak Yong Ko, Reid Simmons, Ko Reid, G. Simmons , 1998
"... The Lane-Curvature Method (LCM) presented in this paper is a new local obstacle avoidance method for indoor mobile robots. The method combines the Curvature-Velocity Method (CVM) with a new directional method called the Lane Method. The lane method divides the environment into lanes, and then choose ..."
Abstract - Cited by 44 (6 self) - Add to MetaCart
The Lane-Curvature Method (LCM) presented in this paper is a new local obstacle avoidance method for indoor mobile robots. The method combines the Curvature-Velocity Method (CVM) with a new directional method called the Lane Method. The lane method divides the environment into lanes

unknown title

by unknown authors
"... reliable, and speedy, navigation in peopled office/corridor environments. 7 Conclusions We have presented the curvature-velocity method for local obstacle avoidance, which treats the problem as one of constrained optimization in the velocity space of the robot. Advantages of this formulation include ..."
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reliable, and speedy, navigation in peopled office/corridor environments. 7 Conclusions We have presented the curvature-velocity method for local obstacle avoidance, which treats the problem as one of constrained optimization in the velocity space of the robot. Advantages of this formulation

NONLINEAR CONTROL OF A WHEELED MOBILE ROBOT

by Université Du Québec, École De, Technologie Supérieure, Elie Maalouf, Mr. Maarouf Saad, Projet Director, Télé Université, Mr. Bruno, De Kelper, Elie Maalouf , 2005
"... The purpose of this project is to implement an autonomous navigation system using nonlinear control techniques to control a wheeled mobile robot (WMR) to follow a preplanned trajectory and track a path. Two other aspects of navigation are studied: path planning and obstacle avoidance. Those three as ..."
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of waypoints leading to the destination. In another approach, a controller derived from a Lyapunov function is used to track a reference trajectory that is time dependent. For path planning, a novel optimization technique based on dynamic programming has been developed. The curvature velocity method has been

DETERMINATION OF THE VELOCITY-CURVATURE RELATIONSHIP FOR UNKNOWN FRONT SHAPES

by Scott I. Jackson, Mark Short
"... Abstract. Detonation Shock Dynamics (DSD) is a detonation propagation methodology that replaces the detonation shock and reaction zone with a surface that evolves according to a specified normal-velocity evolution law. DSD is able to model detonation propagation when supplied with two components: th ..."
Abstract - Cited by 2 (2 self) - Add to MetaCart
numerically compute the velocity-curvature variation directly from discrete experimental front-shape data using local rather than global fitting forms. The results are then compared to the global method for determining the velocity-curvature variation. The possibilities and limitations of such an approach

ON A MOTION OF PLANE CURVES WITH A CURVATURE ADJUSTED TANGENTIAL VELOCITY

by D. ˇ Sev Čovič, S. Yazaki , 2007
"... We propose a new method of tangential redistribution of points by controlling the tangential motion in curvature driven flow of plane curves. The tangential velocity is designed by taking into account the shape of curves. It is based on combination of method of asymptotic uniform redistribution and ..."
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We propose a new method of tangential redistribution of points by controlling the tangential motion in curvature driven flow of plane curves. The tangential velocity is designed by taking into account the shape of curves. It is based on combination of method of asymptotic uniform redistribution

Structure of synchronized chaos studied by symbolic analysis in velocity–curvature space,

by A V Makarenko - Tech. Phys. Lett. , 2012
"... Abstract. A new method of symbolic analysis based on finite discretization of velocity-curvature space is proposed. A minimum alphabet is introduced in a natural way, and a number of initial analytic measures are defined that make it possible to study the structure of discrete mapping dynamics. The ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
Abstract. A new method of symbolic analysis based on finite discretization of velocity-curvature space is proposed. A minimum alphabet is introduced in a natural way, and a number of initial analytic measures are defined that make it possible to study the structure of discrete mapping dynamics

A second order Coupled Level Set and Volume-of-Fluid Method for . . .

by Mark Sussman , 2002
"... We present a coupled Level Set / Volume-of-Fluid (CLSVOF) method for computing growth and collapse of vapor bubbles. The liquid is assumed incompressible and the vapor is assumed to have constant pressure in space. Second order algorithms are used for nding "mass conserving" extension vel ..."
Abstract - Cited by 66 (6 self) - Add to MetaCart
velocities, for discretizing the local interfacial curvature and also for the discretization of the cell centered projection step. Convergence studies are given that demonstrate this second order accuracy. Examples are provided that apply to cavitating bubbles.
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