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Prehensile object rearrangement in cluttered and confined spaces has broad applications but is also challenging. For instance, rearranging products in a grocery shelf means that the robot cannot directly access all objects and has limited…

Robotics · Computer Science 2022-03-21 Rui Wang , Yinglong Miao , Kostas E. Bekris

We investigate motion planning algorithms for the assembly of shapes in the \emph{tilt model} in which unit-square tiles move in a grid world under the influence of uniform external forces and self-assemble according to certain rules. We…

Robotics · Computer Science 2023-07-07 Patrick Blumenberg , Arne Schmidt , Aaron T. Becker

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 present a suite of algorithmic techniques for handling substitution tilings by treating a tile's hierarchy of supertiles in a purely combinatorial fashion using finite state automata. The resulting techniques are very convenient for…

Combinatorics · Mathematics 2026-03-17 Simon Tatham

Formal design of embedded and cyber-physical systems relies on mathematical modeling. In this paper, we consider the model class of hybrid automata whose dynamics are defined by affine differential equations. Given a set of time-series…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Miriam García Soto , Thomas A. Henzinger , Christian Schilling

Effectively rearranging heterogeneous objects constitutes a high-utility skill that an intelligent robot should master. Whereas significant work has been devoted to the grasp synthesis of heterogeneous objects, little attention has been…

Robotics · Computer Science 2023-07-03 Kai Gao , Justin Yu , Tanay Sandeep Punjabi , Jingjin Yu

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

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

This work studies rearrangement problems involving the sorting of robots or objects in stack-like containers, which can be accessed only from one side. Two scenarios are considered: one where every robot or object needs to reach a…

Robotics · Computer Science 2017-07-03 Shuai D. Han , Nicholas M. Stiffler , Kostas E. Bekris , Jingjin Yu

Object rearrangement is a widely-applicable and challenging task for robots. Geometric constraints must be carefully examined to avoid collisions and combinatorial issues arise as the number of objects increases. This work studies the…

Robotics · Computer Science 2022-03-21 Rui Wang , Kai Gao , Daniel Nakhimovich , Jingjin Yu , Kostas E. Bekris

Stiffness degradation and progressive failure of composite laminates are complex processes involving evolution and multi-mode interactions among fiber fractures, intra-ply matrix cracks and inter-ply delaminations. This paper presents a…

Numerical Analysis · Mathematics 2023-11-06 Jiakun Liu , Stuart Leigh Phoenix

Planning motions for two robot arms to move an object collaboratively is a difficult problem, mainly because of the closed-chain constraint, which arises whenever two robot hands simultaneously grasp a single rigid object. In this paper, we…

Robotics · Computer Science 2017-05-09 Puttichai Lertkultanon , Quang-Cuong Pham

The pebble-motion on graphs is a subcategory of multi-agent pathfinding problems dealing with moving multiple pebble-like objects from a node to a node in a graph with a constraint that only one pebble can occupy one node at a given time.…

Robotics · Computer Science 2020-07-21 Miroslav Kulich , Tomáš Novák , Libor Přeucil

The automation of composite sheet layup is essential to meet the increasing demand for composite materials in various industries. However, draping plans for the robotic layup of composite sheets are not robust. A plan that works well under…

Planning trajectories for nonholonomic systems is difficult and computationally expensive. When facing unexpected events, it may therefore be preferable to deform in some way the initially planned trajectory rather than to re-plan entirely…

Robotics · Computer Science 2011-05-31 Quang-Cuong Pham

When modeling complex robot systems such as branched robots, whose kinematic structures are a tree, current techniques often require modeling the whole structure from scratch, even when partial models for the branches are available. This…

Robotics · Computer Science 2024-07-23 Frederico Fernandes Afonso Silva , Bruno Vilhena Adorno

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

Rearranging objects on a planar surface arises in a variety of robotic applications, such as product packaging. Using two arms can improve efficiency but introduces new computational challenges. This paper studies the structure of dual-arm…

Robotics · Computer Science 2018-10-30 Rahul Shome , Kiril Solovey , Jingjin Yu , Kostas Bekris , Dan Halperin

Autonomous assembly is a crucial capability for robots in many applications. For this task, several problems such as obstacle avoidance, motion planning, and actuator control have been extensively studied in robotics. However, when it comes…

Computer Vision and Pattern Recognition · Computer Science 2020-03-25 Yichen Li , Kaichun Mo , Lin Shao , Minhyuk Sung , Leonidas Guibas

This work presents a method to adaptively refine reduced-order models \emph{a posteriori} without requiring additional full-order-model solves. The technique is analogous to mesh-adaptive $h$-refinement: it enriches the reduced-basis space…

Numerical Analysis · Computer Science 2015-04-16 Kevin Carlberg