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Robotic tasks, like reaching a pre-grasp configuration, are specified in the end effector space or task space, whereas, robot motion is controlled in joint space. Because of inherent actuation errors in joint space, robots cannot achieve…

Robotics · Computer Science 2019-10-25 Anirban Sinha , Nilanjan Chakraborty

The subject of this paper is about the kinematic analysis and the trajectory planning of the Orthoglide 5-axis. The Orthoglide 5-axis a five degrees of freedom parallel kinematic machine developed at IRCCyN and is made up of a hybrid…

Robotics · Computer Science 2015-05-27 S Caro , Damien Chablat , P Lemoine , P Wenger

Numerical methods for Inverse Kinematics (IK) employ iterative, linear approximations of the IK until the end-effector is brought from its initial pose to the desired final pose. These methods require the computation of the Jacobian of the…

Robotics · Computer Science 2023-08-08 Jacket Demby's , Jeffrey Uhlmann , Guilherme N. DeSouza

We study in this paper a class of 3-RPR manipulators for which the direct kinematic problem (DKP) is split into a cubic problem followed by a quadratic one. These manipulators are geometrically characterized by the fact that the moving…

Robotics · Computer Science 2011-07-25 Michel Coste , Philippe Wenger , Damien Chablat

We report the conjectures on the three-dimensional (3D) Ising model on simple orthorhombic lattices, together with the details of calculations for a putative exact solution. Two conjectures, an additional rotation in the fourth curled-up…

Statistical Mechanics · Physics 2007-10-31 Zhi-dong Zhang

Trajectory optimization is a popular strategy for planning trajectories for robotic systems. However, many robotic tasks require changing contact conditions, which is difficult due to the hybrid nature of the dynamics. The optimal sequence…

Robotics · Computer Science 2021-09-08 Nathan J. Kong , George Council , Aaron M. Johnson

An effective method for optimizing path planning for a specific model of a 6-degree-of-freedom (6-DOF) robot manipulator is presented as part of the motion planning of the manipulator using computer algebra. We assume that we are given a…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa

Computer vision/deep learning-based 3D human pose estimation methods aim to localize human joints from images and videos. Pose representation is normally limited to 3D joint positional/translational degrees of freedom (3DOFs), however, a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Kevin Gildea , Clara Mercadal-Baudart , Richard Blythman , Aljosa Smolic , Ciaran Simms

Soft robots are interesting examples of hyper-redundancy in robotics, however, the nonlinear continuous dynamics of these robots and the use of hyper-elastic and visco-elastic materials makes modeling of these robots more complicated. This…

Robotics · Computer Science 2022-11-14 Mahboubeh Keyvanara , Arman Goshtasbi , Irene A. Kuling

Extending to 4 degrees of freedom a symplectomorphism used in attitude dynamics it is shown in a direct way the connection between the 4-D isotropic harmonic oscillator and the 3-D Kepler systems. This approach made transparent that only…

Exactly Solvable and Integrable Systems · Physics 2010-11-15 Sebastián Ferrer

This thesis introduces a novel quadrotor manipulation system that consists of 2-link manipulator attached to the bottom of a quadrotor. This new system presents a solution for the drawbacks found in the current quadrotor manipulation system…

Robotics · Computer Science 2019-04-11 Ahmed Khalifa

This paper presents an algorithm for detecting and computing the cusp points in the joint space of 3-RPR planar parallel manipulators. In manipulator kinematics, cusp points are special points, which appear on the singular curves of the…

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

Inverse Kinematics (IK) remains a dynamic field of research, with various methods striving for speed and precision. Despite advancements, many IK techniques face significant challenges, including high computational demands and the risk of…

Robotics · Computer Science 2024-09-16 Zineb Benhmidouch , Saad Moufid , Aissam Ait Omar

The aim of this paper is the kinematic study of a 3-RPR planar parallel manipulator where the three fixed revolute joints are actuated. The direct and inverse kinematic problem as well as the singular configuration is characterized. On…

Robotics · Computer Science 2007-08-30 Damien Chablat , Philippe Wenger , Ilian Bonev

We consider the problem of inverse kinematics (IK), where one wants to find the parameters of a given kinematic skeleton that best explain a set of observed 3D joint locations. The kinematic skeleton has a tree structure, where each node is…

Machine Learning · Computer Science 2019-10-25 Tarun Yenamandra , Florian Bernard , Jiayi Wang , Franziska Mueller , Christian Theobalt

This paper investigates two situations in which the forward kinematics of planar 3-RPR parallel manipulators degenerates. These situations have not been addressed before. The first degeneracy arises when the three input joint variables r1,…

Robotics · Computer Science 2007-07-17 Philippe Wenger , Damien Chablat , Mazen Zein

Real-time humanoid teleoperation requires inverse kinematics (IK) solvers that are both responsive and constraint-safe under kinematic redundancy and self-collision constraints. While differential IK enables efficient online retargeting,…

Robotics · Computer Science 2026-03-26 Junheng Li , Lizhi Yang , Aaron D. Ames

Parallel kinematic manipulators (PKM) are characterized by closed kinematic loops, due to the parallel arrangement of limbs but also due to the existence of kinematic loops within the limbs. Moreover, many PKM are built with limbs…

Robotics · Computer Science 2024-12-19 Andreas Mueller

Quadrupedal manipulators require to be compliant when dealing with external forces during autonomous manipulation, tele-operation or physical human-robot interaction. This paper presents a whole-body controller that allows for the…

Robotics · Computer Science 2022-08-02 Mattia Risiglione , Victor Barasuol , Darwin G. Caldwell , Claudio Semini

The basic purpose of the present paper is the full solutions of the inverse problem (i.e. a finding of necessary and sufficient conditions) for the operator with complex periodic coefficients.

Spectral Theory · Mathematics 2007-05-23 Rakib Feyruz Efendiev