Title
Real-time Bézier Trajectory Deformation for Potential Fields planning methods
Abstract
This article presents a new technique for obtaining a flexible trajectory based on the deformation of a Be??zier curve through a field of vectors. This new technique is called Be??zier Trajectory Deformation (BTD). The trajectory deformation is computed with a constrained optimization method (Lagrange Multipliers Theorem). A linear system is solved to achieve the result. As a consequence, the deformed trajectory is computed in a few milliseconds. In addition, the linear system can be solved offline if the Be??zier curve order is maintained constant during the movement of the robot, which is the common case. This technique can be combined with any collision avoidance algorithm that produces a field of vectors. In particular, it has been developed for artificial potential field methods. BTD is combined with a recently proposed PF method, the Potential Field Projection method (PFP). The resulting technique is tested in dynamic environment showing its real-time performance and its efficacy for obstacle avoidance.
Year
DOI
Venue
2011
10.1109/IROS.2011.6094560
Intelligent Robots and Systems
Keywords
Field
DocType
collision avoidance,curve fitting,linear systems,optimisation,robots,Bezier curve,Bezier trajectory deformation,Lagrange multipliers theorem,collision avoidance algorithm,constrained optimization method,flexible trajectory,linear system,obstacle avoidance,potential fields planning method,robot movement
Obstacle avoidance,Computer vision,Linear system,Curve fitting,Computer science,Control theory,Lagrange multiplier,Projection method,Bézier curve,Artificial intelligence,Trajectory,Constrained optimization
Conference
ISSN
ISBN
Citations 
2153-0858
978-1-61284-454-1
2
PageRank 
References 
Authors
0.39
11
4
Name
Order
Citations
PageRank
L. Hilario132.12
N. Montés233.13
M. C. Mora3134.21
Antonio Falcó4415.43