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This paper considers multi-goal motion planning in unstructured, obstacle-rich environments where a robot is required to reach multiple regions while avoiding collisions. The planned motions must also satisfy the differential constraints…

Robotics · Computer Science 2025-03-27 Yuanjie Lu , Erion Plaku

We consider path planning for a rigid spatial robot moving amidst polyhedral obstacles. Our robot is either a rod or a ring. Being axially-symmetric, their configuration space is R^3 x S^2 with 5 degrees of freedom (DOF). Correct, complete…

Computational Geometry · Computer Science 2019-06-10 Ching-Hsiang Hsu , Yi-Jen Chiang , Chee Yap

Motion planning is a fundamental problem of robotics with applications in many areas of computer science and beyond. Its restriction to graphs has been investigated in the literature for it allows to concentrate on the combinatorial problem…

Discrete Mathematics · Computer Science 2009-04-14 Zhilin Wu , Stephane Grumbach

We present a complete framework for fast motion planning of non-holonomic autonomous mobile robots in highly complex but structured environments. Conventional grid-based planners struggle with scalability, while many kinematically-feasible…

Robotics · Computer Science 2026-02-11 Alejandro Gonzalez-Garcia , Sebastiaan Wyns , Sonia De Santis , Jan Swevers , Wilm Decré

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

We study the problem of sequential task assignment and collision-free routing for large teams of robots in applications with inter-task precedence constraints (e.g., task $A$ and task $B$ must both be completed before task $C$ may begin).…

Robotics · Computer Science 2020-06-17 Kyle Brown , Oriana Peltzer , Martin A. Sehr , Mac Schwager , Mykel J. Kochenderfer

In many areas of applied geometric/numeric computational mathematics, including geo-mapping, computer vision, computer graphics, finite element analysis, medical imaging, geometric design, and solid modeling, one has to compute incidences,…

Computational Geometry · Computer Science 2019-11-20 Alberto Paoluzzi , Vadim Shapiro , Antonio DiCarlo , Francesco Furiani , Giulio Martella , Giorgio Scorzelli

We present an integrated Task-Motion Planning (TMP) framework for navigation in large-scale environment. Autonomous robots operating in real world complex scenarios require planning in the discrete (task) space and the continuous (motion)…

Robotics · Computer Science 2019-10-28 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

Robotic assembly planning enables architects to explicitly account for the assembly process during the design phase, and enables efficient building methods that profit from the robots' different capabilities. Previous work has addressed…

Robotics · Computer Science 2023-04-21 Valentin Noah Hartmann , Andreas Orthey , Danny Driess , Ozgur S. Oguz , Marc Toussaint

We consider the configuration formation problem in modular robotic systems where a set of singleton modules that are spatially distributed in an environment are required to assume appropriate positions so that they can configure into a new,…

Robotics · Computer Science 2022-10-04 Ayan Dutta , Prithviraj Dasgupta

The increasing deployment of robots in co-working scenarios with humans has revealed complex safety and efficiency challenges in the computation robot behavior. Movement among humans is one of the most fundamental -- and yet critical --…

Robotics · Computer Science 2022-03-04 Mehdi Dadvar , Keyvan Majd , Elena Oikonomou , Georgios Fainekos , Siddharth Srivastava

This paper presents a solution for the problem of optimal planning for a robot in a collaborative human-robot team, where the human supervisor is intermittently available to assist the robot in completing tasks more quickly. Specifically,…

Robotics · Computer Science 2023-07-11 Abhinav Dahiya , Stephen L. Smith

In situations where humans and robots are moving in the same space whilst performing their own tasks, predictable paths taken by mobile robots can not only make the environment feel safer, but humans can also help with the navigation in the…

Artificial Intelligence · Computer Science 2022-01-13 Sriram Gopalakrishnan , Subbarao Kambhampati

The steady development of motor vehicle technology will enable cars of the near future to assume an ever increasing role in the decision making and control of the vehicle itself. In the foreseeable future, cars will have the ability to…

Computational Geometry · Computer Science 2015-05-06 Philip Dasler , David M. Mount

This paper considers deployment problems where a mobile robotic network must optimize its configuration in a distributed way in order to minimize a steady-state cost function that depends on the spatial distribution of certain probabilistic…

Optimization and Control · Mathematics 2012-08-20 Jerome Le Ny , George J. Pappas

Task And Motion Planning (TAMP) is the problem of finding a solution to an automated planning problem that includes discrete actions executable by low-level continuous motions. This field is gaining increasing interest within the robotics…

Robotics · Computer Science 2024-08-13 Elisa Tosello , Alessandro Valentini , Andrea Micheli

This paper discusses dynamical systems for disk-covering and sphere-packing problems. We present facility location functions from geometric optimization and characterize their differentiable properties. We design and analyze a collection of…

Optimization and Control · Mathematics 2007-05-23 Jorge Cortes , Francesco Bullo

Recent advancements in self-driving car technologies have enabled them to navigate autonomously through various environments. However, one of the critical challenges in autonomous vehicle operation is trajectory planning, especially in…

This paper investigates Path planning Among Movable Obstacles (PAMO), which seeks a minimum cost collision-free path among static obstacles from start to goal while allowing the robot to push away movable obstacles (i.e., objects) along its…

Robotics · Computer Science 2025-03-07 Zhongqiang Ren , Bunyod Suvonov , Guofei Chen , Botao He , Yijie Liao , Cornelia Fermuller , Ji Zhang

Safe autonomous navigation is an essential and challenging problem for robots operating in highly unstructured or completely unknown environments. Under these conditions, not only robotic systems must deal with limited localisation…

Robotics · Computer Science 2020-05-27 Èric Pairet , Juan David Hernández , Marc Carreras , Yvan Petillot , Morteza Lahijanian
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