2008
DOI: 10.1016/j.robot.2007.08.004
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Continuous curvature path generation based on -spline curves for parking manoeuvres

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Cited by 78 publications
(34 citation statements)
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“…Imposing bounds on xðtÞ has been widely applied with the aim of planning continuous-curvature trajectories in a number of previous publications (e.g., [12,15,16,27]). The rationale behind this issue is that, the instantaneous curvature jðtÞ ¼ sin /ðtÞ l as well as its derivative djðtÞ dt ¼ xðtÞÁcos /ðtÞ l should be bounded so as to avoid generating non-smooth trajectories.…”
Section: Mechanical and Physical Constraintsmentioning
confidence: 99%
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“…Imposing bounds on xðtÞ has been widely applied with the aim of planning continuous-curvature trajectories in a number of previous publications (e.g., [12,15,16,27]). The rationale behind this issue is that, the instantaneous curvature jðtÞ ¼ sin /ðtÞ l as well as its derivative djðtÞ dt ¼ xðtÞÁcos /ðtÞ l should be bounded so as to avoid generating non-smooth trajectories.…”
Section: Mechanical and Physical Constraintsmentioning
confidence: 99%
“…To briefly summarize here, compared to the prevailing methods that can only deal with specific cases (e.g., [13,15,16,18,20,21,26,27]), our formulated model describes various kinds of cases in a unified way regardless they are regular parking scenarios (i.e., parallel, perpendicular or echelon parking cases) or irregular ones.…”
Section: Collision-free Restrictions In the Environmentmentioning
confidence: 99%
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“…De luca et al and Bercemeier [24,25] have experimented with visual guidance and parking although not particularly focusing on parallel parking issue. Recent studies by Gomez-Bravo et al combined artificial intelligence and β-spline curves to generate smooth path for parking [26,27]. In their interesting approach, de Lope and Maravall have used genetic algorithms to generate path for parallel parking [8].…”
Section: Approaches To Parallel Parkingmentioning
confidence: 99%