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In this paper we introduce and study a new concept of parametrised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the parametrised setting, a motion planning algorithm has high…

Algebraic Topology · Mathematics 2021-09-10 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

Among the most prevalent motion planning techniques, sampling and trajectory optimization have emerged successful due to their ability to handle tight constraints and high-dimensional systems, respectively. However, limitations in sampling…

Robotics · Computer Science 2021-07-30 Kalyan Vasudev Alwala , Mustafa Mukadam

Modern sampling-based motion planning algorithms typically take between hundreds of milliseconds to dozens of seconds to find collision-free motions for high degree-of-freedom problems. This paper presents performance improvements of more…

Robotics · Computer Science 2023-10-02 Wil Thomason , Zachary Kingston , Lydia E. Kavraki

This work proposes a motion planning algorithm for robotic manipulators that combines sampling-based and search-based planning methods. The core contribution of the proposed approach is the usage of burs of free configuration space…

Robotics · Computer Science 2025-07-03 Benjamin Kraljusic , Zlatan Ajanovic , Nermin Covic , Bakir Lacevic

In recent years, learning-based approaches have revolutionized motion planning. The data generation process for these methods involves caching a large number of high quality paths for different queries (start, goal pairs) in various…

Robotics · Computer Science 2023-03-14 Sagar Suhas Joshi , Panagiotis Tsiotras

Contact-based motion planning for manipulation, object exploration or balancing often requires finding sequences of fixed and sliding contacts and planning the transition from one contact in the environment to another. However, most…

Robotics · Computer Science 2021-03-18 Marie-Therese Khoury , Andreas Orthey , Marc Toussaint

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

Real-time motion planning is a vital function of robotic systems. Different from existing roadmap algorithms which first determine the free space and then determine the collision-free path, researchers recently proposed several convex…

Robotics · Computer Science 2019-03-01 Chaoyi Sun , Qing Li , Li Li

In many robot motion planning problems, task objectives and physical constraints induce non-Euclidean geometry on the configuration space, yet many planners operate using Euclidean distances that ignore this structure. We address the…

Robotics · Computer Science 2026-05-15 Phone Thiha Kyaw , Jonathan Kelly

Many path planning algorithms are based on sampling the state space. While this approach is very simple, it can become costly when the obstacles are unknown, since samples hitting these obstacles are wasted. The goal of this paper is to…

Robotics · Computer Science 2022-03-09 Murad Tukan , Alaa Maalouf , Dan Feldman , Roi Poranne

Sampling-based motion planning algorithms have been continuously developed for more than two decades. Apart from mobile robots, they are also widely used in manipulator motion planning. Hence, these methods play a key role in collaborative…

Robotics · Computer Science 2023-07-13 Carl Gaebert , Sascha Kaden , Benjamin Fischer , Ulrike Thomas

This paper presents Latent Sampling-based Motion Planning (L-SBMP), a methodology towards computing motion plans for complex robotic systems by learning a plannable latent representation. Recent works in control of robotic systems have…

Robotics · Computer Science 2018-11-07 Brian Ichter , Marco Pavone

In this paper, we propose a sampling-based motion planning algorithm that finds an infinite path satisfying a Linear Temporal Logic (LTL) formula over a set of properties satisfied by some regions in a given environment. The algorithm has…

Robotics · Computer Science 2013-07-30 Cristian Ioan Vasile , Calin Belta

A key challenge in robotics is the efficient generation of optimal robot motion with safety guarantees in cluttered environments. Recently, deterministic optimal sampling-based motion planners have been shown to achieve good performance…

Robotics · Computer Science 2020-07-27 Luigi Palmieri , Leonard Bruns , Michael Meurer , Kai Oliver Arras

Sampling-based planning algorithms are the most common probabilistically complete algorithms and are widely used on many robot platforms. Within this class of algorithms, many variants have been proposed over the last 20 years, yet there is…

Robotics · Computer Science 2015-08-11 Mark Moll , Ioan A. Sucan , Lydia E. Kavraki

The paper surveys topological problems relevant to the motion planning problem of robotics and includes some new results and constructions. First we analyse the notion of topological complexity of configuration spaces which is responsible…

Algebraic Topology · Mathematics 2017-01-10 Michael Farber

Symmetries, e.g. rotational and translational invariances for the class of mechanical systems, allow to characterize solution trajectories of nonlinear dynamical systems. Thus, the restriction to symmetry-induced dynamics, e.g. by using the…

Optimization and Control · Mathematics 2019-06-24 Kathrin Flaßkamp , Sina Ober-Blöbaum , Karl Worthmann

Path planning has long been one of the major research areas in robotics, with PRM and RRT being two of the most effective classes of planners. Though generally very efficient, these sampling-based planners can become computationally…

Robotics · Computer Science 2023-05-26 Sipu Ruan , Karen L. Poblete , Hongtao Wu , Qianli Ma , Gregory S. Chirikjian

Sampling-based motion planning is the predominant paradigm in many real-world robotic applications, but its performance is immensely dependent on the quality of the samples. The majority of traditional planners are inefficient as they use…

Robotics · Computer Science 2020-10-23 Tin Lai , Fabio Ramos

In this paper, we introduce a new probabilistically safe local steering primitive for sampling-based motion planning in complex high-dimensional configuration spaces. Our local steering procedure is based on a new notion of a convex…

Robotics · Computer Science 2019-01-03 Jinwook Huh , Omur Arslan , Daniel D. Lee