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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.…

机器人学 · 计算机科学 2024-06-21 Enoch Adediran , Salem Ameen

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…

机器人学 · 计算机科学 2024-05-28 Johannes Tenhumberg , Arman Mielke , Berthold Bäuml

Singular configurations cause loss of task-space mobility, unbounded joint velocities, and solver divergence in inverse kinematics (IK) for serial manipulators. No existing survey bridges classical singularity-robust IK with rapidly growing…

机器人学 · 计算机科学 2026-04-16 Vishnu Rudrasamudram , Hariharasudan Malaichamee

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…

机器人学 · 计算机科学 2021-10-06 Yifan Wang , Zhonghao Wu , Longfei Wang , Bo Feng , Kai Xu

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 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

Inverse kinematic (IK) methods recover the parameters of the joints, given the desired position of selected elements in the kinematic chain. While the problem is well-defined and low-dimensional, it has to be solved rapidly, accounting for…

机器学习 · 计算机科学 2022-05-24 Raphael Bensadoun , Shir Gur , Nitsan Blau , Tom Shenkar , Lior Wolf

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…

机器人学 · 计算机科学 2025-10-10 Cael Yasutake , Zachary Kingston , Brian Plancher

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

Hyper-redundant Robotic Manipulators (HRMs) offer great dexterity and flexibility of operation, but solving Inverse Kinematics (IK) is challenging. In this work, we introduce VO-FABRIK, an algorithm combining Forward and Backward Reaching…

机器人学 · 计算机科学 2024-03-11 Cristian Morasso , Daniele Meli , Yann Divet , Salvatore Sessa , Alessandro Farinelli

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…

机器人学 · 计算机科学 2024-08-29 Qinglong Meng , Chongkun Xia , Xueqian Wang

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…

机器人学 · 计算机科学 2023-05-03 Ke Qiu , Jingyu Zhang , Danying Sun , Rong Xiong , Haojian Lu , Yue Wang

The ensemble Kalman inversion (EKI), a recently introduced optimisation method for solving inverse problems, is widely employed for the efficient and derivative-free estimation of unknown parameters. Specifically in cases involving…

数值分析 · 数学 2023-12-22 Matei Hanu , Simon Weissmann

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

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,…

人工智能 · 计算机科学 2024-10-22 Hao-Tang Tsui , Yu-Rou Tuan , Hong-Han Shuai

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,…

机器人学 · 计算机科学 2022-09-07 Zichun Xu , Yuntao Li , Xiaohang Yang , Zhiyuan Zhao , Jingdong Zhao , Hong Liu

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…

机器人学 · 计算机科学 2024-06-18 Liangting Wu , Roberto Tron

The inverse Ising problem seeks to reconstruct the parameters of an Ising Hamiltonian on the basis of spin configurations sampled from the Boltzmann measure. Over the last decade, many applications of the inverse Ising problem have arisen,…

无序系统与神经网络 · 物理学 2017-09-13 Johannes Berg

Optimization plays an important role in solving many inverse problems. Indeed, the task of inversion often either involves or is fully cast as a solution of an optimization problem. In this light, the mere non-linear, non-convex, and…

最优化与控制 · 数学 2017-12-04 Nan Ye , Farbod Roosta-Khorasani , Tiangang Cui

This manuscript develops a new framework to analyze and design iterative optimization algorithms built on the notion of Integral Quadratic Constraints (IQC) from robust control theory. IQCs provide sufficient conditions for the stability of…

最优化与控制 · 数学 2021-05-27 Laurent Lessard , Benjamin Recht , Andrew Packard