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This paper proposes a redundancy resolution algorithm for a redundant manipulator based on dynamic programming. This algorithm can compute the desired joint angles at each point on a pre-planned discrete path in Cartesian space, while…

Robotics · Computer Science 2024-11-27 Zhihang Yin , Fa Wu , Ruofan Bian , Ziqian Wang , Jianmin Yang , Jiyong Tan , Dexing Kong

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…

Robotics · Computer Science 2026-05-01 Liangting Wu , Roberto Tron

This paper presents a unified approach for inverse and direct dynamics of constrained multibody systems that can serve as a basis for analysis, simulation, and control. The main advantage of the formulation of the dynamic is that it does…

Systems and Control · Electrical Eng. & Systems 2022-11-01 Farhad Aghili

Parallel kinematic mechanisms are interesting alternative designs for machining applications. Three 2-DOF parallel mechanism architectures dedicated to machining applications are studied in this paper. The three mechanisms have two constant…

Robotics · Computer Science 2007-07-26 Philippe Wenger , Clément Gosselin , Damien Chablat

This paper introduces a 3D parallel robot with three identical five-degree-of-freedom chains connected to a circular brace end-effector, aimed to serve as an assistive device for patients with cervical spondylosis. The inverse kinematics of…

Robotics · Computer Science 2025-03-18 Jingzong Zhou , Yuhan Zhu , Xiaobin Zhang , Sunil Agrawal , Konstantinos Karydis

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…

Robotics · Computer Science 2022-03-29 Isiah Zaplana , Hugo Hadfield , Joan Lasenby

Physics-based simulation of mesh based domains remains a challenging task. State-of-the-art techniques can produce realistic results but require expert knowledge. A major bottleneck in many approaches is the step of integrating a potential…

Graphics · Computer Science 2023-11-07 Oshri Halimi , Egor Larionov , Zohar Barzelay , Philipp Herholz , Tuur Stuyck

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,…

Artificial Intelligence · Computer Science 2024-10-22 Hao-Tang Tsui , Yu-Rou Tuan , Hong-Han Shuai

This paper presents a new geometric and recursive algorithm for analytically computing the forward dynamics of heavy-duty parallel-serial mechanisms. Our solution relies on expressing the dynamics of a class of linearly-actuated parallel…

Robotics · Computer Science 2024-03-14 Paz Alvaro , Jouni Mattila

This paper introduces the Parallelized Circumcentered Reflection Method (P-CRM), a circumcentric approach that parallelizes the Circumcentered Reflection Method (CRM) for solving Convex Feasibility Problems in affine settings. Beyond…

Optimization and Control · Mathematics 2025-05-26 Pablo Barros , Roger Behling , Vincent Guigues , Luiz-Rafael Santos

We present a novel class of methods to compute functions of matrices or their action on vectors that are suitable for parallel programming. Solving appropriate simple linear systems of equations in parallel (or computing the inverse of…

Numerical Analysis · Mathematics 2022-10-10 Sergio Blanes

This paper presents a method to generate feasible, unique forward-kinematic solutions for a general Stewart platform. This is done by using inverse kinematics to obtain valid workspace data and corresponding actuator lengths for the moving…

Robotics · Computer Science 2025-10-28 Sourabh Karmakar , Cameron J. Turner

Parametric linear programming is a central operation for polyhedral computations, as well as in certain control applications.Here we propose a task-based scheme for parallelizing it, with quasi-linear speedup over large problems.This type…

Computational Geometry · Computer Science 2020-10-01 Camille Coti , David Monniaux , Hang Yu

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,…

Robotics · Computer Science 2022-07-06 Filip Marić , Matthew Giamou , Ivan Petrović , Jonathan Kelly

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…

Robotics · Computer Science 2021-03-31 Gian Maria Marconi , Raffaello Camoriano , Lorenzo Rosasco , Carlo Ciliberto

The aim of this paper is to characterize the notion of aspect in the workspace and in the joint space for parallel manipulators. In opposite to the serial manipulators, the parallel manipulators can admit not only multiple inverse kinematic…

Robotics · Computer Science 2007-07-16 Damien Chablat , Philippe Wenger

The paper presents a novel modular hybrid parallel robot for pancreatic surgery and its higher-order kinematics derived based on various formalisms. The classical vector, homogeneous transformation matrices and dual quaternion approaches…

Robotics · Computer Science 2025-03-31 Calin Vaida , Iosif Birlescu , Bogdan Gherman , Daniel Condurache , Damien Chablat , Doina Pisla

Compliant grippers, owing to adaptivity and safety, have attracted considerable attention for unstructured grasping in real applications, such as industrial or logistic scenarios. However, accurately modeling the bidirectional relationship…

Robotics · Computer Science 2023-06-21 Huixu Dong , Haotian Guo , Sihao Yang , Chen Qiu , Jiansheng Dai , I-Ming Chen

Recently, multiple formulations of vision problems as probabilistic inversions of generative models based on computer graphics have been proposed. However, applications to 3D perception from natural images have focused on low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2014-07-08 Tejas D. Kulkarni , Vikash K. Mansinghka , Pushmeet Kohli , Joshua B. Tenenbaum

Quickly and reliably finding accurate inverse kinematics (IK) solutions remains a challenging problem for robotic manipulation. Existing numerical solvers typically produce a single solution only and rely on local search techniques to…

Robotics · Computer Science 2023-07-06 Oliver Limoyo , Filip Marić , Matthew Giamou , Petra Alexson , Ivan Petrović , Jonathan Kelly