Dubins Path
The Dubins path is the shortest curve connecting two points in the plane with prescribed initial and terminal tangent directions, subject to a constraint on curvature. Introduced by Lester Dubins in 1957, it solved a fundamental problem in differential geometry and became essential in motion planning for aircraft, helicopters, and autonomous vehicles. A Dubins path consists of circular arcs and straight line segments arranged in a sequence such as RSR (Right-Straight-Right) or LSL (Left-Straight-Left).
Изворни запис
Цитирани радови су копирани дословно из изворног записа методе. Из њих се не изводи верификација на нивоу тврдње.
- Dubins, L. E. (1957). On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents. American Journal of Mathematics, 79(3), 497–516. · DOI 10.2307/2372560
- Shkel, A. M., & Lumelsky, V. (2001). Classification of the Dubins set. Robotics and Autonomous Systems, 34(2-3), 179–202. · DOI 10.1016/s0921-8890(00)00127-5
- Hota, S., & Ghose, D. (2016). Optimal path planning for aerial vehicles using Dubins curves. IEEE Transactions on Aerospace and Electronic Systems, 52(3), 1400–1416. · URL
Куроване тврдње
Тврдње су сачуване у регистру доказа, свака са својом проценом.
Овај приказ не измишља процену тврдње када регистар нема ниједну.
Сродне методе
Генерисано из графа метода и приказано као машински предложене везе — не изводи се тврдња доказа.