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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

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

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

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…

机器人学 · 计算机科学 2024-06-18 Yu Chen , Yilin Cai , Jinyun Xu , Zhongqiang Ren , Guanya Shi , Howie Choset

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…

Mirror descent is a well established tool for solving convex optimization problems with convex constraints. This article introduces continuous-time mirror descent dynamics for approximating optimal Markov controls for stochastic control…

最优化与控制 · 数学 2025-06-04 Deven Sethi , David Šiška

Real-time humanoid teleoperation requires inverse kinematics (IK) solvers that are both responsive and constraint-safe under kinematic redundancy and self-collision constraints. While differential IK enables efficient online retargeting,…

机器人学 · 计算机科学 2026-03-26 Junheng Li , Lizhi Yang , Aaron D. Ames

Generating accurate and realistic virtual human movements in real-time is of high importance for a variety of applications in computer graphics, interactive virtual environments, robotics, and biomechanics. This paper introduces a novel…

计算机视觉与模式识别 · 计算机科学 2025-09-12 Hendric Voss , Stefan Kopp

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,…

机器人学 · 计算机科学 2022-07-06 Filip Marić , Matthew Giamou , Ivan Petrović , Jonathan Kelly

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

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

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

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

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…

机器学习 · 计算机科学 2019-10-25 Tarun Yenamandra , Florian Bernard , Jiayi Wang , Franziska Mueller , Christian Theobalt

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

Inverse kinematics (IK) is central to robot control and motion planning, yet its nonlinear kinematic mapping makes it inherently nonconvex and particularly challenging under complex constraints. We present IKSPARK (Inverse Kinematics using…

机器人学 · 计算机科学 2026-05-01 Liangting Wu , Roberto Tron

Mirror descent (MD) is a powerful first-order optimization technique that subsumes several optimization algorithms including gradient descent (GD). In this work, we develop a semi-definite programming (SDP) framework to analyze the…

最优化与控制 · 数学 2022-01-19 Youbang Sun , Mahyar Fazlyab , Shahin Shahrampour

This paper seeks to address how to solve non-smooth convex and strongly convex optimization problems with functional constraints. The introduced Mirror Descent (MD) method with adaptive stepsizes is shown to have a better convergence rate…

最优化与控制 · 数学 2017-05-08 Anastasia Bayandina

In this paper the problem of matching Forward Kinematics (FK) motion of a 3 Dimensional (3D) joint chain to the Inverse Kinematics (IK) movement and vice versa has been addressed. The problem lies at the heart of animating a 3D character…

图形学 · 计算机科学 2014-01-08 Zeeshan Bhatti , Asadullah Shah , Farruh Shahidi , Mostafa Karbasi

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…

机器人学 · 计算机科学 2021-04-27 Yajue Yang , Yuanqing Wu , Jia Pan
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