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We propose and explore a new, general-purpose method for the implicit time integration of elastica. Key to our approach is the use of a mixed variational principle. In turn its finite element discretization leads to an efficient alternating…

Graphics · Computer Science 2022-02-03 Ty Trusty , Danny M. Kaufman , David I W Levin

Orthogonal array, a classical and effective tool for collecting data, has been flourished with its applications in modern computer experiments and engineering statistics. Driven by the wide use of computer experiments with both qualitative…

Methodology · Statistics 2022-03-15 Yuanzhen He , C. Devon Lin , Fasheng Sun

We show the existence of rigid combinatorial objects which previously were not known to exist. Specifically, for a wide range of the underlying parameters, we show the existence of non-trivial orthogonal arrays, $t$-designs, and $t$-wise…

Combinatorics · Mathematics 2017-03-14 Greg Kuperberg , Shachar Lovett , Ron Peled

It is essential for a robot to be able to detect revisits or loop closures for long-term visual navigation.A key insight explored in this work is that the loop-closing event inherently occurs sparsely, that is, the image currently being…

Robotics · Computer Science 2017-02-01 Yasir Latif , Guoquan Huang , John Leonard , Jose Neira

We address the problem of visually guided rearrangement planning with many movable objects, i.e., finding a sequence of actions to move a set of objects from an initial arrangement to a desired one, while relying on visual inputs coming…

Coordinated robotic manipulation of deformable linear objects (DLOs), such as ropes and cables, has been widely studied; however, handling hybrid assemblies composed of both deformable and rigid elements in constrained environments remains…

Robotics · Computer Science 2026-03-16 Anees Peringal , Anup Teejo Mathew , Panagiotis liatsis , Federico Renda

This paper introduces a novel and general method to address the problem of using a general-purpose robot manipulator with a parallel gripper to wrap a deformable linear object (DLO), called a rope, around a rigid object, called a rod,…

Robotics · Computer Science 2023-04-12 Zhaoyuan Ma , Jing Xiao

We study the vibrations of a hanging thin flexible rod, in which the dominant restoring force in most of the domain is tension due to the weight of the rod, while bending elasticity plays a small but non-negligible role. We consider a…

Classical Analysis and ODEs · Mathematics 2010-08-12 Yossi Farjoun , David G. Schaeffer

One of the most important features of tendon-driven robots is the ease of wire arrangement and the degree of freedom it affords, enabling the construction of a body that satisfies the desired characteristics by modifying the wire…

Robotics · Computer Science 2024-03-19 Kento Kawaharazuka , Shunnosuke Yoshimura , Temma Suzuki , Kei Okada , Masayuki Inaba

We present a method for system identification of flexible objects by measuring forces and displacement during interaction with a manipulating arm. We model the object's structure and flexibility by a chain of rigid bodies connected by…

Robotics · Computer Science 2014-02-13 Timothy M. Caldwell , Dave Coleman , Nikolaus Correll

Composite convex optimization problems which include both a nonsmooth term and a low-rank promoting term have important applications in machine learning and signal processing, such as when one wishes to recover an unknown matrix that is…

Machine Learning · Computer Science 2018-09-28 Dan Garber , Atara Kaplan

Articulated objects like doors, drawers, valves, and tools are pervasive in our everyday unstructured dynamic environments. Articulation models describe the joint nature between the different parts of an articulated object. As most of these…

Robotics · Computer Science 2019-03-21 Yeshasvi Tirupachuri , Silvio Traversaro , Francesco Nori , Daniele Pucci

With recent advances in both responsive materials and fabrication techniques it is now possible to construct integrated functional structures, composed of both structural and active materials. We investigate the robust design of such…

Optimization and Control · Mathematics 2021-07-20 Andrew Akerson , Blaise Bourdin , Kaushik Bhattacharya

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

A basic task in the design of a robotic production cell is the relative placement of robot and workpiece. The fundamental requirement is that the robot can reach all process positions; only then one can think of further optimization.…

Robotics · Computer Science 2019-01-03 Martin Weiß

The levitation of condensed matter in vacuum allows the study of its physical properties under extreme isolation from the environment. It also offers a venue to investigate quantum mechanics with large systems, at the transition between the…

Applied Physics · Physics 2021-01-22 Gerard Planes Conangla , Raúl A. Rica Alarcón , Romain Quidant

This paper formulates an optimal control problem for a system of rigid bodies that are connected by ball joints and immersed in an irrotational and incompressible fluid. The rigid bodies can translate and rotate in three-dimensional space,…

Optimization and Control · Mathematics 2009-09-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

We demonstrate that any physical object, as long as its volume is conserved when coupled with suitable operations, provides a sophisticated decision-making capability. We consider the problem of finding, as accurately and quickly as…

Artificial Intelligence · Computer Science 2015-09-02 Song-Ju Kim , Masashi Aono , Etsushi Nameda

Designing the topology of three-dimensional structures is a challenging problem due to its memory and time consumption. In this paper, we present a robust and efficient algorithm for solving large-scale 3D topology optimization problems.…

Optimization and Control · Mathematics 2024-03-01 Alfredo Vitorino , Francisco A. M. Gomes

In this work we propose algorithms to explicitly construct a conservative estimate of the configuration spaces of rigid objects in 2D and 3D. Our approach is able to detect compact path components and narrow passages in configuration space…

Robotics · Computer Science 2020-02-10 Anastasiia Varava , J. Frederico Carvalho , Danica Kragic , Florian T. Pokorny