Abstract

Several S-shaped curves (two circular arcs, a cosine curve, and a fifth-orderpolynomial) are examined to determine their geometric suitability for representing thepath traced in parallel parking a car. It is shown that while all of them canaccommodate initial and final position and orientation constraints, only the fifth-orderpolynomial accommodates initial and final curvature. The simpler curves allow thepath to be traversed (assuming constant acceleration and deceleration) about as rapidlyas the fifth-order polynomial, and achieve greater penetration into the parking space,but they incur an additional time penalty in straightening out the wheels at the beginningand end of each maneuver. Representative examples of the curves are shown. Also

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.