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We study the problem of motion-planning for free-flying multi-link robots and develop a sampling-based algorithm that is specifically tailored for the task. Our work is based on the simple observation that the set of configurations for…

Robotics · Computer Science 2015-11-26 Oren Salzman , Kiril Solovey , Dan Halperin

The complexity of algorithms solving the motion planning problem is measured by a homotopy invariant TC(X) of the configuration space X of the system. Previously known lower bounds for TC(X) use the structure of the cohomology algebra of X.…

Algebraic Topology · Mathematics 2007-07-07 Michael Farber , Mark Grant

In this paper we study paramertized motion planning algorithms which provide universal and flexible solutions to diverse motion planning problems. Such algorithms are intended to function under a variety of external conditions which are…

Robotics · Computer Science 2022-02-24 Michael Farber , Shmuel Weinberger

In terms of Rudyak's generalization of Farber's topological complexity of the path motion planning problem in robotics, we give a complete description of the topological instabilities in any sequential motion planning algorithm for a system…

Algebraic Topology · Mathematics 2014-01-13 Jesus Gonzalez , Mark Grant

For motion planning in high dimensional configuration spaces, a significant computational bottleneck is collision detection. Our aim is to reduce the expected number of collision checks by creating a belief model of the configuration space…

Robotics · Computer Science 2019-02-12 Sumit Kumar , Shushman Choudhary , Siddhartha Srinivasa

The unordered configuration space of $n$ points on a graph $\Gamma,$ denoted here by $UC^n(\Gamma),$ can be viewed as the space of all configurations of $n$ unlabeled robots on a system of one-dimensional tracks, which is interpreted as a…

Algebraic Topology · Mathematics 2020-10-27 Steven Scheirer

Multi-mobile robot systems show great advantages over one single robot in many applications. However, the robots are required to form desired task-specified formations, making feasible motions decrease significantly. Thus, it is challenging…

Robotics · Computer Science 2022-10-10 Wenhang Liu , Jiawei Hu , Heng Zhang , Michael Yu Wang , Zhenhua Xiong

This paper deals with a path planning and intelligent control of an autonomous robot which should move safely in partially structured environment. This environment may involve any number of obstacles of arbitrary shape and size; some of…

Robotics · Computer Science 2007-05-23 Danica Janglova

The topological complexity ${\sf TC}(X)$ is a homotopy invariant of a topological space $X$, motivated by robotics, and providing a measure of the navigational complexity of $X$. The topological complexity of a connected sum of real…

Algebraic Topology · Mathematics 2019-08-27 Daniel C. Cohen , Lucile Vandembroucq

Coordinated multi-robot motion planning at intersections is key for safe mobility in roads, factories and warehouses. The rapidly exploring random tree (RRT) algorithms are popular in multi-robot motion planning. However, generating the…

Robotics · Computer Science 2024-12-03 Victor Parque

We study the topological complexity of work maps with respect to some subspaces of the configuration space and a workspace considered as the target set of the motion of robots. The motivation is to optimize and reduce the number of motion…

Algebraic Topology · Mathematics 2022-09-15 Seyed Abolfazl Aghili , Hanieh Mirebrahimi , Ameneh Babaee

Motion planning for robots of high degrees-of-freedom (DOFs) is an important problem in robotics with sampling-based methods in configuration space C as one popular solution. Recently, machine learning methods have been introduced into…

Robotics · Computer Science 2019-11-21 Yiheng Han , Wang Zhao , Jia Pan , Zipeng Ye , Ran Yi , Yong-Jin Liu

Motion path planning is an intrinsically geometric problem which is central for design of robot systems. Since the early years of AI, robotics together with computer vision have been the areas of computer science that drove its development.…

Algebraic Topology · Mathematics 2024-03-20 Boris Goldfarb

Motion planning seeks a collision-free path in a configuration space (C-space), representing all possible robot configurations in the environment. As it is challenging to construct a C-space explicitly for a high-dimensional robot, we…

Robotics · Computer Science 2023-05-19 Yoonchang Sung , Peter Stone

Multi-robot assembly systems are becoming increasingly appealing in manufacturing due to their ability to automatically, flexibly, and quickly construct desired structural designs. However, effectively planning for these systems in a manner…

Coordinating the motion of multiple robots in cluttered environments remains a computationally challenging task. We study the problem of minimizing the execution time of a set of geometric paths by a team of robots with state-dependent…

Robotics · Computer Science 2024-09-26 Katherine Mao , Igor Spasojevic , Malakhi Hopkins , M. Ani Hsieh , Vijay Kumar

Despite the attention that the problem of path planning for tethered robots has garnered in the past few decades, the approaches proposed to solve it typically rely on a discrete representation of the configuration space and do not exploit…

Robotics · Computer Science 2025-12-09 Gianpietro Battocletti , Dimitris Boskos , Bart De Schutter

Manifolds occur naturally as configuration spaces of robotic systems. They provide global descriptions of local coordinate systems that are common tools in expressing positions of robots. The purpose of this survey is threefold. Firstly, we…

Geometric Topology · Mathematics 2024-02-13 Stephan Mescher

We consider a problem called task ordering with path uncertainty (TOP-U) where multiple robots are provided with a set of task locations to visit in a bounded environment, but the length of the path between a pair of task locations is…

Robotics · Computer Science 2016-07-05 Bradley Woosley , Prithviraj Dasgupta

Sampling-based motion planning is a popular approach in robotics for finding paths in continuous configuration spaces. Checking collision with obstacles is the major computational bottleneck in this process. We propose new learning-based…

Robotics · Computer Science 2022-10-18 Chenning Yu , Sicun Gao