Parallel parking problem: Difference between revisions
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{{Short description|Robotics and planning computational problem}} | {{Short description|Robotics and planning computational problem}} | ||
[[File:ParallelParkingAnimation.gif|thumb|upright|Animation of a car parallel parking, turning only its front wheels]] | |||
The '''parallel parking problem''' is a [[Motion planning|motion planning]] problem in [[Control theory|control theory]] and [[Physics:Mechanics|mechanics]] to determine the path a car must take to [[Engineering:Parallel parking|parallel park]] into a parking space. The front wheels of a car are permitted to turn, but the rear wheels must stay aligned. When a car is initially adjacent to a parking space, to move into the space it would need to move in a direction perpendicular to the allowed path of motion of the rear wheels. The admissible motions of the car in its configuration space are an example of a [[Nonholonomic system|nonholonomic system]]. | The '''parallel parking problem''' is a [[Motion planning|motion planning]] problem in [[Control theory|control theory]] and [[Physics:Mechanics|mechanics]] to determine the path a car must take to [[Engineering:Parallel parking|parallel park]] into a parking space. The front wheels of a car are permitted to turn, but the rear wheels must stay aligned. When a car is initially adjacent to a parking space, to move into the space it would need to move in a direction perpendicular to the allowed path of motion of the rear wheels. The admissible motions of the car in its configuration space are an example of a [[Nonholonomic system|nonholonomic system]]. | ||
Latest revision as of 08:53, 14 April 2026
Short description: Robotics and planning computational problem
The parallel parking problem is a motion planning problem in control theory and mechanics to determine the path a car must take to parallel park into a parking space. The front wheels of a car are permitted to turn, but the rear wheels must stay aligned. When a car is initially adjacent to a parking space, to move into the space it would need to move in a direction perpendicular to the allowed path of motion of the rear wheels. The admissible motions of the car in its configuration space are an example of a nonholonomic system.
See also
References
- Batterman, R (2003), "Falling cats, parallel parking, and polarized light", Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (4): 527–557, doi:10.1016/s1355-2198(03)00062-5, Bibcode: 2003SHPMP..34..527B, https://philsci-archive.pitt.edu/794/1/falling-cats.pdf.
- Reeds, J.A.; Shepp, L.A. (1990), "Optimal paths for a car that goes both forwards and backwards", Pacific Journal of Mathematics 145 (2): 367–393, doi:10.2140/pjm.1990.145.367, https://projecteuclid.org/journals/pacific-journal-of-mathematics/volume-145/issue-2/Optimal-paths-for-a-car-that-goes-both-forwards-and/pjm/1102645450.pdf.
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