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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

This work presents a novel and efficient nonlinear programming framework that tightly integrates hierarchical decision-making with whole-body inverse kinematic planning and control. Decision-making plays a central role in many aspects of…

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…

Robotics · Computer Science 2026-04-16 Vishnu Rudrasamudram , Hariharasudan Malaichamee

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

Industrial automation with six-axis robotic arms is critical for many manufacturing tasks, including welding and additive manufacturing applications; however, many of these operations are functionally redundant due to the symmetrical tool…

Modern manipulators are acclaimed for their precision but often struggle to operate in confined spaces. This limitation has driven the development of hyper-redundant and continuum robots. While these present unique advantages, they face…

Robotics · Computer Science 2024-08-13 Avi Cohen , Avishai Sintov , David Zarrouk

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.…

Robotics · Computer Science 2023-05-15 Stefan Scherzinger , Arne Roennau , Rüdiger Dillmann

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

The Ensemble Kalman Filter method can be used as an iterative numerical scheme for parameter identification or nonlinear filtering problems. We study the limit of infinitely large ensemble size and derive the corresponding mean-field limit…

Numerical Analysis · Mathematics 2019-03-20 Michael Herty , Giuseppe Visconti

We develop an elementary mean field approach for fully asymmetric kinetic Ising models, which can be applied to a single instance of the problem. In the case of the asymmetric SK model this method gives the exact values of the local…

Disordered Systems and Neural Networks · Physics 2015-05-27 M. Mezard , J. Sakellariou

A hyper-redundant robotic arm is a manipulator with many degrees of freedom, capable of executing tasks in cluttered environments where robotic arms with fewer degrees of freedom are unable to operate. This paper introduces a new method for…

Robotics · Computer Science 2018-03-13 Marios P. Xanthidis , Kostantinos J. Kyriakopoulos , Ioannis Rekleitis

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

We consider a class of Riemannian optimization problems where the objective is the sum of a smooth function and a nonsmooth function, considered in the ambient space. This class of problems finds important applications in machine learning…

Optimization and Control · Mathematics 2024-11-27 Jiaxiang Li , Shiqian Ma , Tejes Srivastava

The optimization of parallel kinematic manipulators (PKM) involve several constraints that are difficult to formalize, thus making optimal synthesis problem highly challenging. The presence of passive joint limits as well as the…

Robotics · Computer Science 2022-02-25 Haribhau Durgesh , Guillaume Michel , Shivesh Kumar , Marcello Sanguineti , Damien Chablat

Inactive constraints do not contribute to the solution of an optimal control problem, but increase the problem size and burden the numerical computations. We present a novel strategy for handling inactive constraints efficiently by…

Systems and Control · Electrical Eng. & Systems 2021-12-16 Yuanbo Nie , Eric C. Kerrigan

MRI, a widespread non-invasive medical imaging modality, is highly sensitive to patient motion. Despite many attempts over the years, motion correction remains a difficult problem and there is no general method applicable to all situations.…

Image and Video Processing · Electrical Eng. & Systems 2024-11-05 Oscar Dabrowski , Jean-Luc Falcone , Antoine Klauser , Julien Songeon , Michel Kocher , Bastien Chopard , François Lazeyras , Sébastien Courvoisier

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

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

We consider a new type of inverse combinatorial optimization, Inverse Submodular Maximization (ISM), for its application in human-in-the-loop multi-robot information gathering. Forward combinatorial optimization - solving a combinatorial…

Robotics · Computer Science 2026-02-24 Guangyao Shi , Shipeng Liu , Ellen Novoseller , Feifei Qian , Gaurav S. Sukhatme

An effective method for optimizing path planning for a specific model of a 6-degree-of-freedom (6-DOF) robot manipulator is presented as part of the motion planning of the manipulator using computer algebra. We assume that we are given a…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa