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We present Fast Approximate Minimum Spanning Tree (FAMST), a novel algorithm that addresses the computational challenges of constructing Minimum Spanning Trees (MSTs) for large-scale and high-dimensional datasets. FAMST utilizes a…

Data Structures and Algorithms · Computer Science 2025-07-22 Mahmood K. M. Almansoori , Miklos Telek

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

In this paper, we present a new algorithm that extends RRT* and RT-RRT* for online path planning in complex, dynamic environments. Sampling-based approaches often perform poorly in environments with narrow passages, a feature common to many…

Robotics · Computer Science 2021-09-10 Daniel Armstrong , André Jonasson

Finding asymptotically-optimal paths in multi-robot motion planning problems could be achieved, in principle, using sampling-based planners in the composite configuration space of all of the robots in the space. The dimensionality of this…

Multiagent Systems · Computer Science 2017-07-05 Andrew Dobson , Kiril Solovey , Rahul Shome , Dan Halperin , Kostas E. Bekris

Sampling-based motion planners perform exceptionally well in robotic applications that operate in high-dimensional space. However, most works often constrain the planning workspace rooted at some fixed locations, do not adaptively reason on…

Robotics · Computer Science 2021-03-09 Tin Lai

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

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

This paper proposes a new sampling-based kinodynamic motion planning algorithm, called FMT*PFF, for nonlinear systems. It exploits the novel idea of dimensionality reduction using partial-final-state-free (PFF) optimal controllers.With the…

Robotics · Computer Science 2023-06-06 Dongliang Zheng , Panagiotis Tsiotras

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

This paper presents a sampling-based motion planning algorithm for real-time and propellant-optimized autonomous spacecraft trajectory generation in near-circular orbits. Specifically, this paper leverages recent algorithmic advances in the…

Systems and Control · Computer Science 2016-11-17 Joseph A. Starek , Edward Schmerling , Gabriel D. Maher , Brent W. Barbee , Marco Pavone

Sampling-based planning algorithm is a powerful tool for solving planning problems in high-dimensional state spaces. In this article, we present a novel approach to sampling in the most promising regions, which significantly reduces…

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

Sampling-based motion planning algorithms are widely used in robotics because they are very effective in high-dimensional spaces. However, the success rate and quality of the solutions are determined by an adequate selection of their…

Sampling-based algorithms, such as Rapidly Exploring Random Trees (RRT) and its variants, have been used extensively for motion planning. Control barrier functions (CBFs) have been recently proposed to synthesize controllers for…

Robotics · Computer Science 2022-06-03 Ahmad Ahmad , Calin Belta , Roberto Tron

This paper introduces Bidirectional Guidance Informed Trees (BIGIT*),~a new asymptotically optimal sampling-based motion planning algorithm. Capitalizing on the strengths of \emph{meet-in-the-middle} property in bidirectional heuristic…

Robotics · Computer Science 2024-12-10 Yi Wang , Bingxian Mu

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

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

We propose a novel approach for sampling-based and control-based motion planning that combines a representation of the environment obtained via a modified version of optimal Rapidly-exploring Random Trees (RRT*), with landmark-based…

Robotics · Computer Science 2021-06-01 Mahroo Bahreinian , Marc Mitjans , Roberto Tron

We present Fast-dRRT*, a sampling-based multi-robot planner, for real-time industrial automation scenarios. Fast-dRRT* builds upon the discrete rapidly-exploring random tree (dRRT*) planner, and extends dRRT* by using pre-computed swept…

Robotics · Computer Science 2023-09-20 Andrey Solano , Arne Sieverling , Robert Gieselmann , Andreas Orthey

This paper addresses the fast replanning problem in dynamic environments with moving obstacles. Since for randomly moving obstacles the future states are unpredictable, the proposed method, called SMARRT, reacts to obstacle motions and…

Robotics · Computer Science 2021-09-14 Zongyuan Shen , James Wilson , Ryan Harvey , Shalabh Gupta

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