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Inverse kinematics is a fundamental problem for articulated robots: fast and accurate algorithms are needed for translating task-related workspace constraints and goals into feasible joint configurations. In general, inverse kinematics for…

机器人学 · 计算机科学 2020-10-30 Filip Maric , Matthew Giamou , Soroush Khoubyarian , Ivan Petrovic , Jonathan Kelly

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…

机器人学 · 计算机科学 2022-11-14 Mahboubeh Keyvanara , Arman Goshtasbi , Irene A. Kuling

Calculating the inverse kinematics (IK) is a fundamental challenge in robotics. Compared to numerical or learning-based approaches, analytical IK provides higher efficiency and accuracy. However, existing analytical approaches are difficult…

机器人学 · 计算机科学 2025-08-22 Daniel Ostermeier , Jonathan Külz , Matthias Althoff

We present an analytical solution for the inverse kinematics (IK) of a robotic arm with one prismatic joint and four revolute joints. This 5-DoF design is a result of minimizing weight while preserving functionality of the device in a…

机器人学 · 计算机科学 2020-11-17 Vighnesh Vatsal , Guy Hoffman

In robot-assisted minimally invasive surgery (RMIS), inverse kinematics (IK) must satisfy a remote center of motion (RCM) constraint to prevent tissue damage at the incision point. However, most of existing IK methods do not account for the…

机器人学 · 计算机科学 2024-06-17 Jacinto Colan , Ana Davila , Yasuhisa Hasegawa

For fully actuated rigid robots, kinematic inversion is a purely geometric problem, efficiently solved by closed-loop inverse kinematics (CLIK) schemes that compute joint configurations to position the robot body in space. For underactuated…

机器人学 · 计算机科学 2026-03-06 Carina Veil , Moritz Flaschel , Ellen Kuhl , Cosimo Della Santina

We present a novel approach for solving articulated inverse kinematic problems (e.g., character structures) by means of an iterative dual-quaternion and exponentialmapping approach. As dual-quaternions are a break from the norm and offer a…

机器人学 · 计算机科学 2022-11-04 Ben Kenwright

This paper presents an efficient learning-based method to solve the inverse kinematic (IK) problem on soft robots with highly non-linear deformation. The major challenge of efficiently computing IK for such robots is due to the lack of…

机器人学 · 计算机科学 2022-06-07 Guoxin Fang , Yingjun Tian , Zhi-Xin Yang , Jo M. P. Geraedts , Charlie C. L. Wang

Real time calculation of inverse kinematics (IK) with dynamically stable configuration is of high necessity in humanoid robots as they are highly susceptible to lose balance. This paper proposes a methodology to generate joint-space…

机器人学 · 计算机科学 2018-02-01 S Phaniteja , Parijat Dewangan , Pooja Guhan , Abhishek Sarkar , K Madhava Krishna

The paper presents the Inverse Kinematics (IK) close form derivation steps using combination of analytical and geometric techniques for the UR robot. The innovative application of this work is used in the precise positioning of puncture…

机器人学 · 计算机科学 2019-03-07 Omar Abdelaziz , Minzhou Luo , Guanwu Jiang , Saixuan Chen

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…

机器人学 · 计算机科学 2023-08-08 Jacket Demby's , Jeffrey Uhlmann , Guilherme N. DeSouza

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…

机器人学 · 计算机科学 2024-02-20 Alexander J. Elias , John T. Wen

The Euclidean distance geometry problem arises in a wide variety of applications, from determining molecular conformations in computational chemistry to localization in sensor networks. When the distance information is incomplete, the…

信息论 · 计算机科学 2018-10-30 Abiy Tasissa , Rongjie Lai

The matrix completion problem consists of finding or approximating a low-rank matrix based on a few samples of this matrix. We propose a new algorithm for matrix completion that minimizes the least-square distance on the sampling set over…

最优化与控制 · 数学 2012-09-19 Bart Vandereycken

Near kinematic singularities of a serial manipulator, the inverse kinematics (IK) problem becomes ill-conditioned, which poses computational problems for the numerical solution. Computational methods to tackle this issue are based on…

机器人学 · 计算机科学 2024-12-31 Andreas Mueller

Tracking Cartesian motion with end~effectors is a fundamental task in robot control. For motion that is not known in advance, the solvers must find fast solutions to the inverse kinematics (IK) problem for discretely sampled target poses.…

机器人学 · 计算机科学 2023-05-15 Stefan Scherzinger , Arne Roennau , Rüdiger Dillmann

Given a compact manifold with boundary with unknown Riemannian metric. The problem is to reconstruct the metric in a class of conformal metrics from knowledge of lengths of all closed geodesics (kinematic data). An integral inequality is…

微分几何 · 数学 2012-06-05 Victor Palamodov

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…

机器人学 · 计算机科学 2023-12-06 Taisuke Kobayashi , Takanori Jin

Inverse kinematics is a fundamental technique for motion and positioning control in robotics, typically applied to end-effectors. In this paper, we extend the concept of inverse kinematics to guiding vector fields for path following in…

机器人学 · 计算机科学 2025-02-25 Yu Zhou , Jesús Bautista , Weijia Yao , Héctor García de Marina

Inverse kinematics is an important and challenging problem in the operation of industrial manipulators. This study proposes a simple inverse kinematics calculation scheme for an industrial serial manipulator. The proposed technique can…

机器人学 · 计算机科学 2024-04-01 Ansei Yonezawa , Heisei Yonezawa , Itsuro Kajiwara