2007 7th International Conference on ITS Telecommunications 2007
DOI: 10.1109/itst.2007.4295916
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Harmonic Potential Field Method for Autonomous Ship Navigation

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Cited by 19 publications
(12 citation statements)
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“…Applying these finite difference approximations to equation (1) will result in systems of algebraic equations that can be stated as (5) where A and b are known and u is unknown. For simplicity, let matrix A be decomposed into (6) where D is a block diagonal matrix, L is a lower triangular matrix and U is an upper triangular matrix.…”
Section: Point Iterative Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Applying these finite difference approximations to equation (1) will result in systems of algebraic equations that can be stated as (5) where A and b are known and u is unknown. For simplicity, let matrix A be decomposed into (6) where D is a block diagonal matrix, L is a lower triangular matrix and U is an upper triangular matrix.…”
Section: Point Iterative Methodsmentioning
confidence: 99%
“…Moreover, they offer a complete path planning algorithm, and paths derived from them are generally smooth. In the past, an exact method based on the HPFs were applied in many area of researches including ship navigation [5], trajectory control [6], space robot path planning [7], navigation of snake-like robot [8], UAV motion planning [9], marine vessel path planning [10], 3D motion planning for UAV [11,12], space exploration [13], etc. In robot navigation problem, the HPFs were successfully applied in various types of environments [14][15][16][17][18][19][20].…”
Section: Introductionmentioning
confidence: 99%
“…An attractive field is assigned to the target, whilst negative fields represent obstacles and so the vessel is repelled at these locations. In general, the trajectory can be generated effectively in real time and planning and control are merged into one function, however, a disadvantage is the risk of being trapped in local minima [57]. velocity space methods, for which, we define three sub-categories: velocity obstacles [58], dynamic window [45] and curvature velocity.…”
Section: Path Planning Algorithmsmentioning
confidence: 99%
“…The navigation through narrow areas is a problem with an eminently practical component that is shared by most autonomous vehicles, including autonomous cars [17], mobile robots [18,19] or ships [20][21][22]. The challenge of this particular type of navigation lies in the little room available for maneuvering, leading, in many cases, to situations where the safety of the autonomous vehicle or the elements in the environment cannot be granted [23].…”
Section: Related Workmentioning
confidence: 99%