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Inverse dynamics is used extensively in robotics and biomechanics applications. In manipulator and legged robots, it can form the basis of an effective nonlinear control strategy by providing a robot with both accurate positional tracking…

机器人学 · 计算机科学 2016-08-05 Samuel Zapolsky , Evan Drumwright

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

The problem of recovering the configuration of points from their partial pairwise distances, referred to as the Euclidean Distance Matrix Completion (EDMC) problem, arises in a broad range of applications, including sensor network…

最优化与控制 · 数学 2026-05-07 Chandler Smith , HanQin Cai , Abiy Tasissa

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

Action representation is an important yet often overlooked aspect in end-to-end robot learning with deep networks. Choosing one action space over another (e.g. target joint positions, or Cartesian end-effector poses) can result in…

机器人学 · 计算机科学 2022-03-07 Aditya Ganapathi , Pete Florence , Jake Varley , Kaylee Burns , Ken Goldberg , Andy Zeng

The problem of completing a low-rank matrix from a subset of its entries is often encountered in the analysis of incomplete data sets exhibiting an underlying factor model with applications in collaborative filtering, computer vision and…

机器学习 · 计算机科学 2009-02-24 Amit Singer , Mihai Cucuringu

This paper addresses the problem of low-rank distance matrix completion. This problem amounts to recover the missing entries of a distance matrix when the dimension of the data embedding space is possibly unknown but small compared to the…

最优化与控制 · 数学 2013-04-26 B. Mishra , G. Meyer , R. Sepulchre

The kinematics of a robot manipulator are described in terms of the mapping connecting its joint space and the 6-dimensional Euclidean group of motions $SE(3)$. The associated Jacobian matrices map into its Lie algebra $\mathfrak{se}(3)$,…

度量几何 · 数学 2017-11-22 P. Donelan , J. M. Selig

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…

机器人学 · 计算机科学 2022-03-29 Isiah Zaplana , Hugo Hadfield , Joan Lasenby

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

We present a new framework for prioritized multi-task motion-force control of fully-actuated robots. This work is established on a careful review and comparison of the state of the art. Some control frameworks are not optimal, that is they…

机器人学 · 计算机科学 2014-10-16 Andrea Del Prete , Francesco Nori , Giorgio Metta , Lorenzo Natale

Many applications require a robot to accurately track reference end-effector trajectories. Certain trajectories may not be tracked as single, continuous paths due to the robot's kinematic constraints or obstacles elsewhere in the…

机器人学 · 计算机科学 2024-06-18 Yeping Wang , Carter Sifferman , Michael Gleicher

In order for a bimanual robot to manipulate an object that is held by both hands, it must construct motion plans such that the transformation between its end effectors remains fixed. This amounts to complicated nonlinear equality…

机器人学 · 计算机科学 2024-03-15 Thomas Cohn , Seiji Shaw , Max Simchowitz , Russ Tedrake

Human-to-humanoid imitation learning aims to learn a humanoid whole-body controller from human motion. Motion retargeting is a crucial step in enabling robots to acquire reference trajectories when exploring locomotion skills. However,…

机器人学 · 计算机科学 2025-09-22 Xingyu Chen , Hanyu Wu , Sikai Wu , Mingliang Zhou , Diyun Xiang , Haodong Zhang

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

This paper introduces a closed-form analytical solution for the inverse kinematics (IK) of a 6 Degrees of Freedom (DOF) serial robotic manipulator arm, configured with six revolute joints and utilized within the Lunar Exploration Rover…

机器人学 · 计算机科学 2024-10-31 Serdar Kalaycioglu , Anton de Ruiter , Ethan Fung , Harrison Zhang , Haipeng Xie

Recursive matrix relations for kinematics and dynamics of the Orthoglide parallel robot having three concurrent prismatic actuators are established in this paper. These are arranged according to the Cartesian coordinate system with fixed…

机器人学 · 计算机科学 2009-10-21 Damien Chablat , Philippe Wenger , Stefan Staicu

With the recent advances in machine learning, problems that traditionally would require accurate modeling to be solved analytically can now be successfully approached with data-driven strategies. Among these, computing the inverse…

机器人学 · 计算机科学 2021-03-31 Gian Maria Marconi , Raffaello Camoriano , Lorenzo Rosasco , Carlo Ciliberto

Inverse kinematics (IK) is a core operation in animation, robotics, and biomechanics: given Cartesian constraints, recover joint rotations under a known kinematic tree. In many real-time human avatar pipelines, the available signal per…

计算机视觉与模式识别 · 计算机科学 2026-04-21 Muhammad Saif Ullah Khan , Chen-Yu Wang , Tim Prokosch , Michael Lorenz , Bertram Taetz , Didier Stricker

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