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Collaborative robots should ideally use low torque actuators for passive safety reasons. However, some applications require these collaborative robots to reach deep into confined spaces while assisting a human operator in physically…

Robotics · Computer Science 2020-08-13 Garrison L. H. Johnston , Andrew L. Orekhov , Nabil Simaan

To control humanoid robots, the reference pose of end effector(s) is planned in task space, then mapped into the reference joints by IK. By viewing that problem as approximate quadratic programming (QP), recent QP solvers can be applied to…

Robotics · Computer Science 2023-12-06 Taisuke Kobayashi , Takanori Jin

A challenge in high-dimensional inverse problems is developing iterative solvers to find the accurate solution of regularized optimization problems with low computational cost. An important example is computed tomography (CT) where both…

Numerical Analysis · Mathematics 2024-12-16 Alessandro Perelli , Carola-Bibiane Schonlieb , Matthias J. Ehrhardt

This paper introduces a closed-form analytical solution for the inverse kinematics (IK) of a 6 Degrees of Freedom (DOF) serial robotic manipulator arm, configured with six revolute joints and utilized within the Lunar Exploration Rover…

Robotics · Computer Science 2024-10-31 Serdar Kalaycioglu , Anton de Ruiter , Ethan Fung , Harrison Zhang , Haipeng Xie

Inverse Kinematics (IK) is a core problem in robotics, in which joint configurations are found to achieve a desired end-effector pose. Although analytical solvers are fast and efficient, they are limited to systems with low…

Robotics · Computer Science 2025-10-10 Cael Yasutake , Zachary Kingston , Brian Plancher

This paper introduces the Visual Inverse Kinematics problem (VIK) to fill the gap between robot Inverse Kinematics (IK) and visual servo control. Different from the IK problem, the VIK problem seeks to find robot configurations subject to…

Robotics · Computer Science 2024-06-18 Liangting Wu , Roberto Tron

This paper presents the open-source robot inverse kinematics (IK) solver IK-Geo, the fastest general IK solver based on published literature. In this unifying approach, IK for any 6-DOF all-revolute (6R) manipulator is decomposed into six…

Robotics · Computer Science 2024-02-20 Alexander J. Elias , John T. Wen

Traditional geometric inverse kinematics methods for parallel mechanisms rely on specific spatial geometry constraints. However, their application to redundant parallel mechanisms is challenged due to the increased constraint complexity.…

Robotics · Computer Science 2025-12-30 Daqian Cao , Quan Yuan , Weibang Bai

Branch-and-bound-based consensus maximization stands out due to its important ability of retrieving the globally optimal solution to outlier-affected geometric problems. However, while the discovery of such solutions caries high scientific…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Xinyue Zhang , Liangzu Peng , Wanting Xu , Laurent Kneip

In this paper, we address efficiently and robustly collecting objects stored in different trays using a mobile manipulator. A resolution complete method, based on precomputed reachability database, is proposed to explore collision-free…

Robotics · Computer Science 2020-03-10 Jingren Xu , Kensuke Harada , Weiwei Wan , Toshio Ueshiba , Yukiyasu Domae

This paper presents an advanced method for addressing the inverse kinematics and optimal path planning challenges in robot manipulators. The inverse kinematics problem involves determining the joint angles for a given position and…

Robotics · Computer Science 2024-12-25 Yusuke Shirato , Natsumi Oka , Akira Terui , Masahiko Mikawa

The small size, high dexterity, and intrinsic compliance of continuum robots (CRs) make them well suited for constrained environments. Solving the inverse kinematics (IK), that is finding robot joint configurations that satisfy desired…

Robotics · Computer Science 2023-06-26 Hanna Jiamei Zhang , Matthew Giamou , Filip Marić , Jonathan Kelly , Jessica Burgner-Kahrs

This paper revisits the numerical inverse kinematics (IK) problem, leveraging modern computational resources and refining the seed selection process to develop a solver that is competitive with analytical-based methods. The proposed seed…

Robotics · Computer Science 2025-03-31 Xinyi Yuan , Weiwei Wan , Kensuke Harada

Robotic manipulators are often designed with more actuated degrees-of-freedom than required to fully control an end effector's position and orientation. These "redundant" manipulators can allow infinite joint configurations that satisfy a…

Robotics · Computer Science 2023-08-30 Julia Ashkanazy , Ariana Spalter , Joe Hays , Laura Hiatt , Roxana Leontie , C. Glen Henshaw

Robotic manipulation in space is essential for emerging applications such as debris removal and in-space servicing, assembly, and manufacturing (ISAM). A key requirement for these tasks is the ability to perform precise, contact-rich…

Robotics · Computer Science 2025-06-24 Abhay Negi , Omey M. Manyar , Satyandra K. Gupta

Non-self-adjoint second-order ordinary differential operators on a finite interval with complex weights are studied. Properties of spectral characteristics are established and the inverse problem of recovering operators from their spectral…

Spectral Theory · Mathematics 2024-02-09 V. A. Yurko

To reliably model real robot characteristics, interval linear systems of equations allow to describe families of problems that consider sets of values. This allows to easily account for typical complexities such as sets of joint states and…

Robotics · Computer Science 2021-04-02 Joshua Pickard , Vincent Padois , Milan Hladík , David Daney

Recently, a time-varying quadratic programming (QP) framework that describes the tracking operations of redundant robot manipulators is introduced to handle the kinematic resolutions of many robot control tasks. Based on the generalization…

Systems and Control · Electrical Eng. & Systems 2020-09-03 Lingdong Kong

Modern robotics applications require an inverse kinematics (IK) solver that is fast, robust and consistent, and that provides all possible solutions. Currently, the Franka robot arm is the most widely used manipulator in robotics research.…

Robotics · Computer Science 2026-03-18 Pablo C. Lopez-Custodio , Yuhe Gong , Luis F. C. Figueredo

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