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Seven degree-of-freedom (DOF) robot arms have one redundant DOF which does not change the motion of the end effector. The redundant DOF offers greater manipulability of the arm configuration to avoid obstacles and singularities, but it must…

Robotics · Computer Science 2024-03-22 Alexander J. Elias , John T. Wen

According to the topological design theory and method of parallel mechanism (PM) based on position and orientation characteristic (POC) equations, this paper studied a 3-DOF translational PM that has three advantages, i.e., (i) it consists…

Robotics · Computer Science 2020-02-11 Huiping Shen , Damien Chablat , Boxiong Zeng , Ju Li , Guanglei Wu , Ting-Li Yang

Most industrial machine tools have a serial kinematic architecture, which means that each axis has to carry the following one, including its actuators and joints. High Speed Machining highlights some drawbacks of such architectures: heavy…

Robotics · Computer Science 2007-05-23 Félix Majou , Philippe Wenger , Damien Chablat

The paper deals with the developing of the methodological backgrounds for the modeling and simulation of complex dynamical objects. Such backgrounds allow us to perform coordinate transformation and formulate the algorithm of its usage for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-07 Roman Voliansky , Andri Pranolo

In this paper, we propose a novel trajectory optimization algorithm for mobile manipulators under end-effector path, collision avoidance and various kinematic constraints. Our key contribution lies in showing how this highly non-linear and…

Robotics · Computer Science 2019-04-23 Arun Kumar Singh , Andrei Ahonen , Reza Ghabcheloo , Andreas Muller

Set-Based Multi-Task Priority is a recent framework to handle inverse kinematics for redundant structures. Both equality tasks, i.e., control objectives to be driven to a desired value, and set-bases tasks, i.e., control objectives to be…

Robotics · Computer Science 2020-07-08 Paolo Di Lillo , Stefano Chiaverini , Gianluca Antonelli

This work addresses the Hamiltonian dynamics of the Kepler problem in a deformed phase space, by considering the equatorial orbit. The recursion operators are constructed and used to compute the integrals of motion. The same investigation…

Mathematical Physics · Physics 2021-09-07 Mahouton Norbert Hounkonnou , Mahougnon Justin Landalidji

This paper reviews recent results on hybrid inverse problems, which are also called coupled-physics inverse problems of multi-wave inverse problems. Inverse problems tend to be most useful in, e.g., medical and geophysical imaging, when…

Analysis of PDEs · Mathematics 2011-10-24 Guillaume Bal

We consider the Laplace-Beltrami operator in tubular neighbourhoods of curves on two-dimensional Riemannian manifolds, subject to non-Hermitian parity and time preserving boundary conditions. We are interested in the interplay between the…

Mathematical Physics · Physics 2015-05-18 David Krejcirik , Petr Siegl

In this paper, a method to compute joint space singularity surfaces of 3-RPR planar parallel manipulators is first presented. Then, a procedure to determine maximal joint space singularity-free boxes is introduced. Numerical examples are…

Robotics · Computer Science 2007-05-23 Mazen Zein , Philippe Wenger , Damien Chablat

In contexts such as teleoperation, robot reprogramming, human-robot-interaction, and neural prosthetics, conveying movement commands to a robotic platform is often a limiting factor. Currently, many applications rely on…

Robotics · Computer Science 2019-09-20 A. Jang Sher , U. Huzaifa , J. Li , V. Jain , A. Zurawski , A. LaViers

This paper aims at the most comprehensive and systematic construction and tabulation of mechanical systems that admit a second invariant, quadratic in velocities, other than the Hamiltonian. The configuration space is in general a 2D…

Exactly Solvable and Integrable Systems · Physics 2009-11-13 H. M. Yehia

We show that a broad range of convex optimization algorithms, including alternating projection, operator splitting, and multiplier methods, can be systematically derived from the framework of subspace correction methods via convex duality.…

Optimization and Control · Mathematics 2025-05-16 Boou Jiang , Jongho Park , Jinchao Xu

Multi-axis additive manufacturing enables high flexibility of material deposition along dynamically varied directions. The Cartesian motion platforms of these machines include three parallel axes and two rotational axes. Singularity on…

Robotics · Computer Science 2021-05-20 Tianyu Zhang , Xiangjia Chen , Guoxin Fang , Yingjun Tian , Charlie C. L. Wang

In this article generalized attenuated ray transforms (ART) and integral angular moments are investigated. Starting from the Radon transform, the attenuated ray transform and the longitudinal ray transform, we derive the concept of…

Numerical Analysis · Mathematics 2019-12-12 Evgeny Y. Derevtsov , Thomas Schuster , Yuriy S. Volkov

We present a novel algorithm for collision-free kinematics of multiple manipulators in a shared workspace with moving obstacles. Our optimization-based approach simultaneously handles collision-free constraints based on reciprocal velocity…

Robotics · Computer Science 2019-03-12 Liangliang Zhao , Jingdong Zhao , Hong Liu , Dinesh Manocha

Solving inverse problems requires the knowledge of the forward operator, but accurate models can be computationally expensive and hence cheaper variants that do not compromise the reconstruction quality are desired. This chapter reviews…

Numerical Analysis · Mathematics 2024-03-19 Simon Arridge , Andreas Hauptmann , Yury Korolev

The direct kinematics analysis is the foundation of implementation of real world application of parallel manipulators. For most parallel manipulators the direct kinematics is challenging. In this paper, for the first time a fast and…

With the growing complexity and capability of contemporary robotic systems, the necessity of sophisticated computing solutions to efficiently handle tasks such as real-time processing, sensor integration, decision-making, and control…

Robotics · Computer Science 2025-09-09 Md Rafid Islam

The gravitational path integral suggests a striking result: the Hilbert space of closed universes in each superselection sector, a so-called $\alpha$-sector, is one-dimensional. We develop an abstract formalism encapsulating recent…

High Energy Physics - Theory · Physics 2025-11-04 Hong Zhe Chen
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