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The subject of this paper is the design of a new concept of modular parallel mechanisms for three, four or five-axis machining applications. Most parallel mechanisms are designed for three- or six-axis machining applications. In the last…

Robotics · Computer Science 2007-05-23 Damien Chablat , Philippe Wenger

We present an efficient algorithm for computing the closest singular configuration to each non-singular pose of a 3-RPR planar manipulator performing a 1-parametric motion. By considering a 3-RPR manipulator as a planar framework, one can…

Robotics · Computer Science 2023-10-12 Aditya Kapilavai , Georg Nawratil

The paper presents a novel technique for the design of optimal calibration experiments for a planar anthropomorphic manipulator with n degrees of freedom. Proposed approach for selection of manipulator configurations allows essentially…

Robotics · Computer Science 2012-12-04 Alexandr Klimchik , Yier Wu , Stéphane Caro , Anatol Pashkevich

This article presents a new variable actuation mechanism based on the 3-RPR parallel robot. This mechanismis an evolution of the NaVARo robot, a 3-RRR parallel robot, for which the second revolute joint of the threelegs is replaced by a…

Robotics · Computer Science 2019-08-07 Damien Chablat , Luc Rolland

We develop an algorithm that solves the inverse kinematics of general serial 2RP3R, 2R2P2R, 3RP2R and 6R manipulators based on the HuPf algorithm. We identify the workspaces of the 3-subchains of the manipulator with a quasi-projective…

Robotics · Computer Science 2019-06-20 Jose Capco , Manuel Joseph C. Loquias , Saraleen Mae M. Manongsong , Fidel R. Nemenzo

This paper presents a kinematic definition of a serialized Stewart platform designed for autonomous in-space assembly called an Assembler. The Assemblers architecture describes problems inherent to the inverse kinematics of over-actuated…

Robotics · Computer Science 2020-03-30 William Chapin , Erik Komendera

Planar markers are useful in robotics and computer vision for mapping and localisation. Given a detected marker in an image, a frequent task is to estimate the 6DOF pose of the marker relative to the camera, which is an instance of planar…

Computer Vision and Pattern Recognition · Computer Science 2019-09-27 Shin-Fang Ch'ng , Naoya Sogi , Pulak Purkait , Tat-Jun Chin , Kazuhiro Fukui

Parametrized motion planning algorithms have high degrees of universality and flexibility, as they are designed to work under a variety of external conditions, which are viewed as parameters and form part of the input of the underlying…

Algebraic Topology · Mathematics 2021-10-15 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

It is well-known that parallel manipulators are prone to singularities. However, there is still a lack of distance evaluation functions, referred to as metrics, for computing the distance between two 3-RPR configurations. The proposed…

Robotics · Computer Science 2023-09-22 Aditya Kapilavai , Georg Nawratil

This work studies the problem of maximizing a higher degree real homogeneous multivariate polynomial over the unit sphere. This problem is equivalent to finding the leading eigenvalue of the associated symmetric tensor of higher order,…

Optimization and Control · Mathematics 2019-10-02 Yuning Yang , Guoyin Li

In this paper, we introduce and study the Parallel Polyhedral Projection Method (3PM) and the Approximate Parallel Polyhedral Projection Method (A3PM) for finding a point in the intersection of finitely many closed convex sets. Each…

Optimization and Control · Mathematics 2025-06-27 Pablo Barros , Roger Behling , Vincent Guigues

This work investigates new kinematic features of parallel manipulators. It is well known that parallel manipulators admit generally several direct kinematic solutions for a given set of input joint values. The aim of this paper is to…

Robotics · Computer Science 2007-05-23 Philippe Wenger , Damien Chablat

Continuum parallel robots (CPR) combine rigid actuation mechanisms with multiple elastic rods in a closed-loop topology, making forward statics challenging when rigid--continuum junctions are enforced by explicit kinematic constraints. Such…

Robotics · Computer Science 2026-03-06 Lingxiao Xun , Matyas Diezinger , Azad Artinian , Guillaume Laurent , Brahim Tamadazte

In this paper, a new numerical method to solve the forward kinematics (FK) of a parallel manipulator with three-limb spherical-prismatic-revolute (3SPR) structure is presented. Unlike the existing numerical approaches that rely on…

Robotics · Computer Science 2022-06-01 Masoud Roudneshin , Kamran Ghaffari , Amir G. Aghdam

The Numerical Assembly Technique is extended to investigate arbitrary planar frame structures with the focus on the computation of natural frequencies. This allows us to obtain highly accurate results without resorting to spatial…

Numerical Analysis · Mathematics 2022-04-26 Thomas Kramer , Michael Helmut Gfrerer

We study parametric equations, which describe the position of an in-parallel planar manipulator. We discuss isometries in the Gauss plane, then we write the loop-closure equations in terms of the rotations as the parameters.

Robotics · Computer Science 2015-08-10 Sureyya Sahin

Curvature principal directions on geometric surfaces are a ubiquitous concept of Geometry Processing techniques. However they only account for order 2 differential quantities, oblivious of higher order differential behaviors. In this paper,…

Computational Geometry · Computer Science 2021-11-11 Julie Digne , Sébastien Valette , Raphaëlle Chaine , Yohann Béarzi

We propose a general algorithm for non-conforming adaptive mesh refinement (AMR) of unstructured meshes in high-order finite element codes. Our focus is on h-refinement with a fixed polynomial order. The algorithm handles triangular,…

Numerical Analysis · Computer Science 2019-05-13 Jakub Červený , Veselin Dobrev , Tzanio Kolev

This paper evaluates how laminated techniques may be used to replicate the performance of more traditionally manufactured robotic manipulators. In this case study, we introduce a laminated 2-DOF spherical, parallel manipulator. Taking…

Robotics · Computer Science 2018-10-12 Mohammad Sharifzadeh , Roozbeh Khodambashi , Daniel Aukes

This paper presents the kinematic analysis of the 3-PPPS parallel robot with an equilateral mobile platform and a U-shape base. The proposed design and appropriate selection of parameters allow to formulate simpler direct and inverse…

Robotics · Computer Science 2017-06-30 Damien Chablat , Luc Baron , Ranjan Jha