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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

Over the last 20 years significant effort has been dedicated to the development of sampling-based motion planning algorithms such as the Rapidly-exploring Random Trees (RRT) and its asymptotically optimal version (e.g. RRT*). However,…

Robotics · Computer Science 2014-05-13 Georgios Papadopoulos , Hanna Kurniawati , Nicholas M. Patrikalakis

We describe a general probabilistic framework to address a variety of Frechet-distance optimization problems. Specifically, we are interested in finding minimal bottleneck-paths in $d$-dimensional Euclidean space between given start and…

Computational Geometry · Computer Science 2016-07-12 Kiril Solovey , Dan Halperin

This paper presents a hybrid robot motion planner that generates long-horizon motion plans for robot navigation in environments with obstacles. We propose a hybrid planner, RRT* with segmented trajectory optimization (RRT*-sOpt), which…

Robotics · Computer Science 2022-04-19 Jessica Leu , Michael Wang , Masayoshi Tomizuka

Sampling-based motion planners (SBMPs) are widely used to compute dynamically feasible robot paths. However, their reliance on uniform sampling often leads to poor efficiency and slow planning in complex environments. We introduce a novel…

Robotics · Computer Science 2025-11-10 Shubham Natraj , Bruno Sinopoli , Yiannis Kantaros

Rapidly Exploring Random Tree (RRT) algorithms, notably used for nonholonomic vehicle navigation in complex environments, are often not thoroughly evaluated for their specific challenges. This paper presents a first such comparison study of…

Robotics · Computer Science 2025-01-14 Trym Tengesdal , Tom Arne Pedersen , Tor Arne Johansen

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

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

Uncertainty-aware robot motion prediction is crucial for downstream traversability estimation and safe autonomous navigation in unstructured, off-road environments, where terrain is heterogeneous and perceptual uncertainty is high. Most…

This paper proposes a novel sampling-based motion planner, which integrates in RRT* (Rapidly exploring Random Tree star) a database of pre-computed motion primitives to alleviate its computational load and allow for motion planning in a…

Robotics · Computer Science 2022-06-13 Basak Sakcak , Luca Bascetta , Gianni Ferretti , Maria Prandini

Safety is crucial for robotic missions within an uncertain environment. Common safety requirements such as collision avoidance are only state-dependent, which can be restrictive for complex missions. In this work, we address a more general…

Robotics · Computer Science 2023-02-13 Meng Guo , Tianjun Liao , Junjie Wang , Zhongkui Li

We consider the problem of optimal path planning in different homotopy classes in a given environment. Though important in robotics applications, path-planning with reasoning about homotopy classes of trajectories has typically focused on…

Robotics · Computer Science 2017-10-10 Subhrajit Bhattacharya , Robert Ghrist

This paper presents a sampling-based method for optimal motion planning in non-holonomic systems in the absence of known cost functions. It uses the principle of learning through experience to deduce the cost-to-go of regions within the…

Robotics · Computer Science 2021-01-08 Nahas Pareekutty , Francis James , Balaraman Ravindran , Suril V. Shah

Real-time and collision-free motion planning remains challenging for robotic manipulation in unknown environments due to continuous perception updates and the need for frequent online replanning. To address these challenges, we propose a…

Robotics · Computer Science 2025-12-30 Xuewei Zhang , Bailing Tian , Kai Zheng , Yulin Hui , Junjie Lu , Zhiyu Li

An emerging class of trajectory optimization methods enforces collision avoidance by jointly optimizing the robot's configuration and a separating hyperplane. However, as linear separators only apply to convex sets, these methods require…

Robotics · Computer Science 2026-01-15 Shuoye Li , Zhiyuan Song , Yulin Li , Zhihai Bi , Jun Ma

Sampling-based motion planning is an effective tool to compute safe trajectories for automated vehicles in complex environments. However, a fast convergence to the optimal solution can only be ensured with the use of problem-specific…

Robotics · Computer Science 2019-02-04 Holger Banzhaf , Paul Sanzenbacher , Ulrich Baumann , J. Marius Zöllner

Despite recent progress improving the efficiency and quality of motion planning, planning collision-free and dynamically-feasible trajectories in partially-mapped environments remains challenging, since constantly replanning as unseen…

Robotics · Computer Science 2023-06-16 Abhish Khanal , Hoang-Dung Bui , Gregory J. Stein , Erion Plaku

Multi-robot systems offer enhanced capability over their monolithic counterparts, but they come at a cost of increased complexity in coordination. To reduce complexity and to make the problem tractable, multi-robot motion planning (MRMP)…

Robotics · Computer Science 2021-11-30 Changrak Choi , Muhammad Adil , Amir Rahmani , Ramtin Madani

This paper presents a real-time trajectory planning scheme for a heterogeneous multi-robot system (consisting of a quadrotor and a ground mobile robot) for a cooperative landing task, where the landing position, landing time, and…

Robotics · Computer Science 2025-12-10 Jingshan Chen , Lihan Xu , Henrik Ebel , Peter Eberhard

We study a generalized motion planning problem involving multiple autonomous robots navigating in a $d$-dimensional Euclidean space in the presence of a set of obstacles whose positions are unknown a priori. Each robot is required to visit…

Algebraic Topology · Mathematics 2025-10-13 Gopal Chandra Dutta , Amit Kumar Paul , Subhankar Sau