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Optimal path planning is the problem of finding a valid sequence of states between a start and goal that optimizes an objective. Informed path planning algorithms order their search with problem-specific knowledge expressed as heuristics…

Robotics · Computer Science 2022-10-24 Marlin P. Strub , Jonathan D. Gammell

Improving the performance of motion planning algorithms for high-degree-of-freedom robots usually requires reducing the cost or frequency of computationally expensive operations. Traditionally, and especially for asymptotically optimal…

Robotics · Computer Science 2025-09-18 Tyler S. Wilson , Wil Thomason , Zachary Kingston , Lydia E. Kavraki , Jonathan D. Gammell

Motion planning problems have been studied by both the robotics and the controls research communities for a long time, and many algorithms have been developed for their solution. Among them, incremental sampling-based motion planning…

Robotics · Computer Science 2012-05-01 Oktay Arslan , Panagiotis Tsiotras

Bidirectional motion planning approaches decrease planning time, on average, compared to their unidirectional counterparts. In single-query feasible motion planning, using bidirectional search to find a continuous motion plan requires an…

Robotics · Computer Science 2022-09-26 Sharan Nayak , Michael W. Otte

Rapidly-exploring random trees (RRTs) are popular in motion planning because they find solutions efficiently to single-query problems. Optimal RRTs (RRT*s) extend RRTs to the problem of finding the optimal solution, but in doing so…

Robotics · Computer Science 2014-12-01 Jonathan D. Gammell , Siddhartha S. Srinivasa , Timothy D. Barfoot

Motion planning is a fundamental problem in autonomous robotics that requires finding a path to a specified goal that avoids obstacles and takes into account a robot's limitations and constraints. It is often desirable for this path to also…

Robotics · Computer Science 2021-01-14 Jonathan D. Gammell , Marlin P. Strub

Multi-robot path planning is a computational process involving finding paths for each robot from its start to the goal while ensuring collision-free operation. It is widely used in robots and autonomous driving. However, the computational…

Robotics · Computer Science 2023-08-04 Biru Zhang , Jiankun Wang , Max Q. -H. Meng

Robots have become increasingly prevalent in dynamic and crowded environments such as airports and shopping malls. In these scenarios, the critical challenges for robot navigation are reliability and timely arrival at predetermined…

Robotics · Computer Science 2023-09-21 Zhirui Sun , Boshu Lei , Peijia Xie , Fugang Liu , Junjie Gao , Ying Zhang , Jiankun Wang

Sampling-based algorithms are viewed as practical solutions for high-dimensional motion planning. Recent progress has taken advantage of random geometric graph theory to show how asymptotic optimality can also be achieved with these…

Robotics · Computer Science 2016-02-09 Yanbo Li , Zakary Littlefield , Kostas E. Bekris

Path planners based on basic rapidly-exploring random trees (RRTs) are quick and efficient, and thus favourable for real-time robot path planning, but are almost-surely suboptimal. In contrast, the optimal RRT (RRT*) converges to the…

Robotics · Computer Science 2023-11-07 Bongani B. Maseko , Corné E. van Daalen , Johann Treurnicht

An asymptotically optimal sampling-based planner employs sampling to solve robot motion planning problems and returns paths with a cost that converges to the optimal solution cost, as the number of samples approaches infinity. This…

Robotics · Computer Science 2022-01-07 Kostas E. Bekris , Rahul Shome

Adaptively Informed Trees (AIT*) is an algorithm that uses the problem-specific heuristic to avoid unnecessary searches, which significantly improves its performance, especially when collision checking is expensive. However, the heuristic…

Robotics · Computer Science 2023-05-26 Chenming Li , Han Ma , Peng Xu , Jiankun Wang , Max Q. -H. Meng

This paper proposes a bidirectional rapidly-exploring random trees (RRT) algorithm to solve the motion planning problem for hybrid systems. The proposed algorithm, called HyRRT-Connect, propagates in both forward and backward directions in…

Robotics · Computer Science 2025-04-16 Nan Wang , Ricardo G. Sanfelice

Path planning in robotics often requires finding high-quality solutions to continuously valued and/or high-dimensional problems. These problems are challenging and most planning algorithms instead solve simplified approximations. Popular…

Robotics · Computer Science 2020-04-20 Jonathan D. Gammell , Timothy D. Barfoot , Siddhartha S. Srinivasa

Path planning in robotics often involves solving continuously valued, high-dimensional problems. Popular informed approaches include graph-based searches, such as A*, and sampling-based methods, such as Informed RRT*, which utilize informed…

Robotics · Computer Science 2025-09-01 Liding Zhang , Kuanqi Cai , Yu Zhang , Zhenshan Bing , Chaoqun Wang , Fan Wu , Sami Haddadin , Alois Knoll

Informed sampling techniques accelerate the convergence of sampling-based motion planners by biasing sampling toward regions of the state space that are most likely to yield better solutions. However, when the current solution path contains…

Robotics · Computer Science 2025-11-25 Phone Thiha Kyaw , Anh Vu Le , Rajesh Elara Mohan , Jonathan Kelly

Informed sampling-based planning algorithms exploit problem knowledge for better search performance. This knowledge is often expressed as heuristic estimates of solution cost and used to order the search. The practical improvement of this…

Robotics · Computer Science 2020-12-10 Marlin P. Strub , Jonathan D. Gammell

Many exciting robotic applications require multiple robots with many degrees of freedom, such as manipulators, to coordinate their motion in a shared workspace. Discovering high-quality paths in such scenarios can be achieved, in principle,…

Robotics · Computer Science 2019-03-05 Rahul Shome , Kiril Solovey , Andrew Dobson , Dan Halperin , Kostas E. Bekris

Rapidly-exploring Random Tree Star(RRT*) is a recently proposed extension of Rapidly-exploring Random Tree (RRT) algorithm that provides a collision-free, asymptotically optimal path regardless of obstacle's geometry in a given environment.…

Robotics · Computer Science 2017-04-04 Ahmed Hussain Qureshi , Yasar Ayaz

This paper presents the Language Aided Subset Sampling Based Motion Planner (LASMP), a system that helps mobile robots plan their movements by using natural language instructions. LASMP uses a modified version of the Rapidly Exploring…

Robotics · Computer Science 2024-10-02 Saswati Bhattacharjee , Anirban Sinha , Chinwe Ekenna