A New Path Generation Algorithm Based on Accurate NURBS Curves

The process of finding an optimum, smooth and feasible global path for mobile robot navigation usually involves determining the shortest polyline path, which will be subsequently smoothed to satisfy the requirements. Within this context, this paper deals with a novel roadmap algorithm for generating...

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Main Authors: Sawssen Jalel, Philippe Marthon, Atef Hamouda
Format: Article
Language:English
Published: SAGE Publishing 2016-04-01
Series:International Journal of Advanced Robotic Systems
Online Access:https://doi.org/10.5772/63072
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spelling doaj-e45aaca2897d483fafef6f1f605452662020-11-25T03:15:32ZengSAGE PublishingInternational Journal of Advanced Robotic Systems1729-88142016-04-011310.5772/6307210.5772_63072A New Path Generation Algorithm Based on Accurate NURBS CurvesSawssen Jalel0Philippe Marthon1Atef Hamouda2 University of Tunis El Manar, LIPAH-LR 11ES14, Tunis, Tunisia University of Toulouse, IRIT, Toulouse, France University of Tunis El Manar, LIPAH-LR 11ES14, Tunis, TunisiaThe process of finding an optimum, smooth and feasible global path for mobile robot navigation usually involves determining the shortest polyline path, which will be subsequently smoothed to satisfy the requirements. Within this context, this paper deals with a novel roadmap algorithm for generating an optimal path in terms of Non-Uniform Rational B-Splines (NURBS) curves. The generated path is well constrained within the curvature limit by exploiting the influence of the weight parameter of NURBS and/or the control points' locations. The novelty of this paper lies in the fact that NURBS curves are not used only as a means of smoothing, but they are also involved in meeting the system's constraints via a suitable parameterization of the weights and locations of control points. The accurate parameterization of weights allows for a greater benefit to be derived from the influence and geometrical effect of this factor, which has not been well investigated in previous works. The effectiveness of the proposed algorithm is demonstrated through extensive MATLAB computer simulations.https://doi.org/10.5772/63072
collection DOAJ
language English
format Article
sources DOAJ
author Sawssen Jalel
Philippe Marthon
Atef Hamouda
spellingShingle Sawssen Jalel
Philippe Marthon
Atef Hamouda
A New Path Generation Algorithm Based on Accurate NURBS Curves
International Journal of Advanced Robotic Systems
author_facet Sawssen Jalel
Philippe Marthon
Atef Hamouda
author_sort Sawssen Jalel
title A New Path Generation Algorithm Based on Accurate NURBS Curves
title_short A New Path Generation Algorithm Based on Accurate NURBS Curves
title_full A New Path Generation Algorithm Based on Accurate NURBS Curves
title_fullStr A New Path Generation Algorithm Based on Accurate NURBS Curves
title_full_unstemmed A New Path Generation Algorithm Based on Accurate NURBS Curves
title_sort new path generation algorithm based on accurate nurbs curves
publisher SAGE Publishing
series International Journal of Advanced Robotic Systems
issn 1729-8814
publishDate 2016-04-01
description The process of finding an optimum, smooth and feasible global path for mobile robot navigation usually involves determining the shortest polyline path, which will be subsequently smoothed to satisfy the requirements. Within this context, this paper deals with a novel roadmap algorithm for generating an optimal path in terms of Non-Uniform Rational B-Splines (NURBS) curves. The generated path is well constrained within the curvature limit by exploiting the influence of the weight parameter of NURBS and/or the control points' locations. The novelty of this paper lies in the fact that NURBS curves are not used only as a means of smoothing, but they are also involved in meeting the system's constraints via a suitable parameterization of the weights and locations of control points. The accurate parameterization of weights allows for a greater benefit to be derived from the influence and geometrical effect of this factor, which has not been well investigated in previous works. The effectiveness of the proposed algorithm is demonstrated through extensive MATLAB computer simulations.
url https://doi.org/10.5772/63072
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