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Over three decades of scientific endeavors to realize programmable matter, a substance that can change its physical properties based on user input or responses to its environment, there have been many advances in both the engineering of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-18 Joseph L. Briones , Tishya Chhabra , Joshua J. Daymude , Andréa W. Richa

We consider the problem of connected coordinated motion planning for a large collective of simple, identical robots: From a given start grid configuration of robots, we need to reach a desired target configuration via a sequence of…

Computational Geometry · Computer Science 2023-10-17 Sándor P. Fekete , Phillip Keldenich , Ramin Kosfeld , Christian Rieck , Christian Scheffer

Assembly planning is a fundamental problem in robotics and automation, which involves designing a sequence of motions to bring the separate constituent parts of a product into their final placement in the product. Assembly planning is…

Computational Geometry · Computer Science 2023-03-23 Pankaj K. Agarwal , Boris Aronov , Tzvika Geft , Dan Halperin

Coordinating the motion of multiple agents in constrained environments is a fundamental challenge in robotics, motion planning, and scheduling. A motivating example involves $n$ robotic arms, each represented as a line segment. The…

Computational Complexity · Computer Science 2025-08-29 Nicolas Bousquet , Remy El Sabeh , Amer E. Mouawad , Naomi Nishimura

The sliding square model is a widely used abstraction for studying self-reconfigurable robotic systems, where modules are square-shaped robots that move by sliding or rotating over one another. In this paper, we propose a novel distributed…

Computational Geometry · Computer Science 2025-09-15 Irina Kostitsyna , David Liedtke , Christian Scheideler

A fundamental challenge in multi-robot motion planning is achieving sufficient coordination to avoid inter-robot conflicts without incurring the large computational expense of searching the joint configuration space of the robot group. In…

Robotics · Computer Science 2026-05-21 Isaac Ngui , Courtney McBeth , James D. Motes , Marco Morales , Nancy M. Amato

We present progress on the problem of reconfiguring a 2D arrangement of building material by a cooperative group of robots. These robots must avoid collisions, deadlocks, and are subjected to the constraint of maintaining connectivity of…

A metamorphic robotic system is an aggregate of homogeneous robot units which can individually and selectively locomote in such a way as to change the global shape of the system. We introduce a mathematical framework for defining and…

Robotics · Computer Science 2007-05-23 A. Abrams , R. Ghrist

The linearization of the equations of motion of a robotics system about a given state-input trajectory, including a controlled equilibrium state, is a valuable tool for model-based planning, closed-loop control, gain tuning, and state…

Robotics · Computer Science 2022-04-20 Martijn Bos , Silvio Traversaro , Daniele Pucci , Alessandro Saccon

We consider a distributed system of n identical mobile robots operating in the two dimensional Euclidian plane. As in the previous studies, we consider the robots to be anonymous, oblivious, dis-oriented, and without any communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-14 Shantanu Das , Giuseppe A. Di Luna , Paola Flocchini , Nicola Santoro , Giovanni Viglietta , Masafumi Yamashita

A data structure is presented that explicitly maintains the graph of a Voronoi diagram of $N$ point sites in the plane or the dual graph of a convex hull of points in three dimensions while allowing insertions of new sites/points. Our…

Computational Geometry · Computer Science 2020-07-06 Elena Arseneva , John Iacono , Grigorios Koumoutsos , Stefan Langerman , Boris Zolotov

This paper explores general multi-robot task and motion planning, where multiple robots in close proximity manipulate objects while satisfying constraints and a given goal. In particular, we formulate the plan refinement problem--which,…

Robotics · Computer Science 2023-09-19 Yoonchang Sung , Rahul Shome , Peter Stone

The Arbitrary Pattern Formation problem asks to design a distributed algorithm that allows a set of autonomous mobile robots to form any specific but arbitrary geometric pattern given as input. The problem has been extensively studied in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-05 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

Consider a set of $n$ simple autonomous mobile robots (asynchronous, no common coordinate system, no identities, no central coordination, no direct communication, no memory of the past, non-rigid, deterministic) initially in distinct…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-30 Paola Flocchini , Giuseppe Prencipe , Nicola Santoro , Giovanni Viglietta

This paper proposes a distributed on-orbit spacecraft assembly algorithm, where future spacecraft can assemble modules with different functions on orbit to form a spacecraft structure with specific functions. This form of spacecraft…

Robotics · Computer Science 2024-11-27 Tianle Liu , Zhixiang Wang , Yongwei Zhang , Ziwei Wang , Zihao Liu , Yizhai Zhang , Panfeng Huang

We consider geometric collision-detection problems for modular reconfigurable robots. Assuming the nodes (modules) are connected squares on a grid, we investigate the complexity of deciding whether collisions may occur, or can be avoided,…

Computational Geometry · Computer Science 2023-05-03 Siddharth Gupta , Marc van Kreveld , Othon Michail , Andreas Padalkin

We present a decentralized model for autonomous reconfiguration of homogeneous pivoting cube modular robots in two dimensions. Each cube in the ensemble is controlled by a neural network that only gains information from other cubes in its…

Neural and Evolutionary Computing · Computer Science 2025-09-04 Nadezhda Dobreva , Emmanuel Blazquez , Jai Grover , Dario Izzo , Yuzhen Qin , Dominik Dold

Given a graph and two vertex sets satisfying a certain feasibility condition, a reconfiguration problem asks whether we can reach one vertex set from the other by repeating prescribed modification steps while maintaining feasibility. In…

Data Structures and Algorithms · Computer Science 2022-12-29 Tatsuya Gima , Takehiro Ito , Yasuaki Kobayashi , Yota Otachi

Shape formation is a basic distributed problem for systems of computational mobile entities. Intensively studied for systems of autonomous mobile robots, it has recently been investigated in the realm of programmable matter. Namely, it has…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-12 Giuseppe A. Di Luna , Paola Flocchini , Nicola Santoro , Giovanni Viglietta , Yukiko Yamauchi

This study presents a system integration approach for planning schedules, sequences, tasks, and motions for reconfigurable robots to automatically disassemble constrained structures in a non-destructive manner. Such systems must adapt their…

Robotics · Computer Science 2025-09-19 Takuya Kiyokawa , Tomoki Ishikura , Shingo Hamada , Genichiro Matsuda , Kensuke Harada