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Inverse kinematics (IK) is the problem of finding robot joint configurations that satisfy constraints on the position or pose of one or more end-effectors. For robots with redundant degrees of freedom, there is often an infinite, nonconvex…

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

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

Analytic and optimization methods for solving inverse kinematics (IK) problems have been deeply studied throughout the history of robotics. The two strategies have complementary strengths and weaknesses, but developing a unified approach to…

Robotics · Computer Science 2026-02-06 Thomas Cohn , Lihan Tang , Alexandre Amice , Russ Tedrake

The majority of inverse kinematics (IK) algorithms search for solutions in a configuration space defined by joint angles. However, the kinematics of many robots can also be described in terms of distances between rigidly-attached points,…

Robotics · Computer Science 2022-07-06 Filip Marić , Matthew Giamou , Ivan Petrović , Jonathan Kelly

This paper proposes a novel inverse kinematics (IK) solver of articulated robotic systems for path planning. IK is a traditional but essential problem for robot manipulation. Recently, data-driven methods have been proposed to quickly solve…

Robotics · Computer Science 2022-09-02 Suhan Park , Mathew Schwartz , Jaeheung Park

The inverse kinematics (IK) problem of continuum robots has been investigated in depth in the past decades. Under the constant-curvature bending assumption, closed-form IK solution has been obtained for continuum robots with variable…

Robotics · Computer Science 2021-10-06 Yifan Wang , Zhonghao Wu , Longfei Wang , Bo Feng , Kai Xu

The general inverse kinematics (IK) problem of a manipulator, namely that of acquiring the self-motion manifold (SMM) of all admissible joint angles for a desired end-effector pose, plays a vital role in robotics modeling, planning and…

Robotics · Computer Science 2021-04-27 Yajue Yang , Yuanqing Wu , Jia Pan

Continuum manipulators have gained significant attention as a promising alternative to rigid manipulators, offering notable advantages in terms of flexibility and adaptability within intricate workspace. However, the broader application of…

Robotics · Computer Science 2024-10-29 Yinan Sun , Sai Wang

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…

Robotics · Computer Science 2025-08-22 Daniel Ostermeier , Jonathan Külz , Matthias Althoff

A cuspidal robot can move from one inverse kinematics (IK) solution to another without crossing a singularity. Multiple industrial robots are cuspidal. They tend to have a beautiful mechanical design, but they pose path planning challenges.…

Robotics · Computer Science 2025-05-01 Alexander J. Elias , John T. Wen

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

Inverse Kinematics (IK) solves the problem of mapping from the Cartesian space to the joint configuration space of a robotic arm. It has a wide range of applications in areas such as computer graphics, protein structure prediction, and…

Robotics · Computer Science 2022-08-30 Chi-Kai Ho , Chung-Ta King

The Inverse Kinematics (IK) problem is to nd robot control parameters to bring it into the desired position under the kinematics and collision constraints. We present a global solution to the optimal IK problem for a general serial 7DOF…

Robotics · Computer Science 2020-07-27 Pavel Trutman , Safey El Din Mohab , Didier Henrion , Tomas Pajdla

This paper investigates a constrained inverse kinematic (IK) problem that seeks a feasible configuration of an articulated robot under various constraints such as joint limits and obstacle collision avoidance. Due to the high-dimensionality…

Robotics · Computer Science 2024-06-18 Yu Chen , Yilin Cai , Jinyun Xu , Zhongqiang Ren , Guanya Shi , Howie Choset

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

It is a common problem in robotics to specify the position of each joint of the robot so that the endpoint reaches a certain target in space. This can be solved in two ways, forward kinematics method and inverse kinematics method. However,…

Artificial Intelligence · Computer Science 2024-10-22 Hao-Tang Tsui , Yu-Rou Tuan , Hong-Han Shuai

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…

Robotics · Computer Science 2024-06-17 Jacinto Colan , Ana Davila , Yasuhisa Hasegawa

Although inverse kinematics of serial manipulators is a well studied problem, challenges still exist in finding smooth feasible solutions that are also collision aware. Furthermore, with collaborative service robots gaining traction,…

Robotics · Computer Science 2023-11-01 Salih Marangoz , Rohit Menon , Nils Dengler , Maren Bennewitz

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
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