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Inverse kinematics - finding joint poses that reach a given Cartesian-space end-effector pose - is a common operation in robotics, since goals and waypoints are typically defined in Cartesian space, but robots must be controlled in joint…

Robotics · Computer Science 2022-08-30 Barrett Ames , Jeremy Morgan , George Konidaris

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…

Robotics · Computer Science 2020-10-30 Filip Maric , Matthew Giamou , Soroush Khoubyarian , Ivan Petrovic , Jonathan Kelly

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

Solving the analytical inverse kinematics (IK) of redundant manipulators in real time is a difficult problem in robotics since its solution for a given target pose is not unique. Moreover, choosing the optimal IK solution with respect to…

Robotics · Computer Science 2023-03-28 Minh Nhat Vu , Florian Beck , Michael Schwegel , Christian Hartl-Nesic , Anh Nguyen , Andreas Kugi

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

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

This work addresses the inverse kinematics of serial robots using conformal geometric algebra. Classical approaches include either the use of homogeneous matrices, which entails high computational cost and execution time or the development…

Robotics · Computer Science 2022-03-29 Isiah Zaplana , Hugo Hadfield , Joan Lasenby

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

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

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…

Robotics · Computer Science 2024-12-31 Andreas Mueller

Continuum robots suffer large deflections due to internal and external forces. Accurate modeling of their passive compliance is necessary for accurate environmental interaction, especially in scenarios where direct force sensing is not…

Robotics · Computer Science 2025-04-08 Andrew L. Orekhov , Garrison L. H. Johnston , Nabil Simaan

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

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…

Robotics · Computer Science 2020-11-17 Vighnesh Vatsal , Guy Hoffman

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

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…

Robotics · Computer Science 2022-11-04 Ben Kenwright

Continuum robots with floating bases demonstrate exceptional operational capabilities in confined spaces, such as those encountered in medical surgeries and equipment maintenance. However, developing low-cost solutions for their motion and…

Robotics · Computer Science 2025-03-20 Congjun Ma , Quan Xiao , Liangcheng Liu , Xingxing You , Songyi Dian

Solving the inverse kinematics problem is a fundamental challenge in motion planning, control, and calibration for articulated robots. Kinematic models for these robots are typically parametrized by joint angles, generating a complicated…

Robotics · Computer Science 2023-12-12 Filip Marić , Matthew Giamou , Adam W. Hall , Soroush Khoubyarian , Ivan Petrović , Jonathan Kelly

Using results on the topology of moduli space of polygons [Jaggi, 92; Kapovich and Millson, 94], it can be shown that for a planar robot arm with $n$ segments there are some values of the base-length, $z$, at which the configuration space…

Differential Geometry · Mathematics 2014-09-02 Subhrajit Bhattacharya , Mihail Pivtoraiko

Controlling soft continuum robotic arms is challenging due to their hyper-redundancy and dexterity. In this paper we demonstrate, for the first time, closed-loop control of the configuration space variables of a soft robotic arm, composed…

Robotics · Computer Science 2022-10-04 Azadeh Doroudchi , Zhi Qiao , Wenlong Zhang , Spring Berman

This paper presents an analytical solution to the inverse kinematic problem(IKP) for the seven degree-of-freedom (7-DOF) Moz1 Robot Arm with offsets on wrist. We provide closed-form solutions with the novel arm angle . it allow fully…

Robotics · Computer Science 2026-02-05 Ke Chen