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Fast inverse kinematics (IK) is a central component in robotic motion planning. For complex robots, IK methods are often based on root search and non-linear optimization algorithms. These algorithms can be massively sped up using a neural…

Robotics · Computer Science 2024-05-28 Johannes Tenhumberg , Arman Mielke , Berthold Bäuml

This paper proposes a shoulder inverse kinematics (IK) technique. Shoulder complex is comprised of the sternum, clavicle, ribs, scapula, humerus, and four joints. The shoulder complex shows specific motion pattern, such as Scapulo humeral…

Graphics · Computer Science 2016-12-23 YoungBeom Kim , Byung-Ha Park , Kwang-Mo Jung , JungHyun Han

As the pace of AI technology continues to accelerate, more tools have become available to researchers to solve longstanding problems, Hybrid approaches available today continue to push the computational limits of efficiency and precision.…

Robotics · Computer Science 2024-06-21 Enoch Adediran , Salem Ameen

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

In inverse problems, the goal is to estimate unknown model parameters from noisy observational data. Traditionally, inverse problems are solved under the assumption of a fixed forward operator describing the observation model. In this…

Numerical Analysis · Mathematics 2024-09-26 Simon Weissmann , Neil K. Chada , Xin T. Tong

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…

Robotics · Computer Science 2026-03-06 Carina Veil , Moritz Flaschel , Ellen Kuhl , Cosimo Della Santina

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

This paper describes a new approach allowing the generation of a simplified Biped gait. This approach combines a classical dynamic modeling with an inverse kinematics' solver based on particle swarm optimization, PSO. First, an inverted…

Robotics · Computer Science 2013-01-08 Nizar Rokbani , Adel M Alimi

In this paper we consider a dynamic computer simulator that produces a time-series response $y_t(x)$ over $L$ time points, for every given input parameter $x$. We propose a method for solving inverse problems, which refer to the finding of…

Methodology · Statistics 2020-12-15 Joseph Resch , Abhyuday Mandal , Pritam Ranjan

We consider efficient methods for computing solutions to dynamic inverse problems, where both the quantities of interest and the forward operator (measurement process) may change at different time instances but we want to solve for all the…

Numerical Analysis · Mathematics 2021-07-14 Mirjeta Pasha , Arvind K. Saibaba , Silvia Gazzola , Malena I. Espanol , Eric de Sturler

Piecewise constant curvature is a popular kinematics framework for continuum robots. Computing the model parameters from the desired end pose, known as the inverse kinematics problem, is fundamental in manipulation, tracking and planning…

Robotics · Computer Science 2023-05-03 Ke Qiu , Jingyu Zhang , Danying Sun , Rong Xiong , Haojian Lu , Yue Wang

Soft robotic manipulators provide numerous advantages over conventional rigid manipulators in fragile environments such as the marine environment. However, developing analytic inverse models necessary for shape, motion, and force control of…

Robotics · Computer Science 2022-11-15 Abdelrahman Alkhodary , Berke Gur

We present iDARR, a scalable iterative Data-Adaptive RKHS Regularization method, for solving ill-posed linear inverse problems. The method searches for solutions in subspaces where the true solution can be identified, with the data-adaptive…

Numerical Analysis · Mathematics 2024-01-02 Haibo Li , Jinchao Feng , Fei Lu

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…

Robotics · Computer Science 2019-03-07 Omar Abdelaziz , Minzhou Luo , Guanwu Jiang , Saixuan Chen

Inverse Kinematics (IK) is to find the robot's configurations that satisfy the target pose of the end effector. In motion planning, diverse configurations were required in case a feasible trajectory was not found. Meanwhile, collision…

Robotics · Computer Science 2024-08-29 Qinglong Meng , Chongkun Xia , Xueqian Wang

Forward and backward reaching inverse kinematics (FABRIK) is a heuristic inverse kinematics solver that is gradually applied to manipulators with the advantages of fast convergence and generating more realistic configurations. However,…

Robotics · Computer Science 2022-09-07 Zichun Xu , Yuntao Li , Xiaohang Yang , Zhiyuan Zhao , Jingdong Zhao , Hong Liu

Redundant manipulators are well understood to offer infinite joint configurations for achieving a desired end-effector pose. The multiplicity of inverse kinematics (IK) solutions allows for the simultaneous solving of auxiliary tasks like…

Robotics · Computer Science 2025-07-30 Dominic Guri , George Kantor

A major challenge in developing accurate and robust numerical solutions to multi-physics problems is to correctly model evolving discontinuities in field quantities, which manifest themselves as interfaces between different phases in…

Computational Physics · Physics 2023-09-06 Shahab Mirjalili , Søren Taverniers , Henry Collis , Morad Behandish , Ali Mani

This paper presents ETA-IK, a novel Execution-Time-Aware Inverse Kinematics method tailored for dual-arm robotic systems. The primary goal is to optimize motion execution time by leveraging the redundancy of both arms, specifically in tasks…

Robotics · Computer Science 2025-10-21 Yucheng Tang , Xi Huang , Yongzhou Zhang , Tao Chen , Ilshat Mamaev , Björn Hein

A prioritized inverse kinematics (PIK) solution can be considered as a (regulation or output tracking) control law of a dynamical system with prioritized multiple outputs. We propose a method that guarantees that a joint trajectory…

Systems and Control · Electrical Eng. & Systems 2019-10-24 Sang-ik An , Dongheui Lee