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Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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Related Experiment Video

Updated: May 24, 2026

Simulation of a Scaled Assembly Process with Collaboration of a Robotic Arm and Monitoring through a Vision System for Quality Control
05:47

Simulation of a Scaled Assembly Process with Collaboration of a Robotic Arm and Monitoring through a Vision System for Quality Control

Published on: August 29, 2025

Visual Control for Multirobot Organized Rendezvous.

G Lopez-Nicolas, M Aranda, Y Mezouar

    IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
    |March 8, 2012
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a homography-based visual control system for multiple mobile robots. The framework enables robots to achieve a desired configuration using only visual data from an uncalibrated, moving camera, enhancing multi-robot coordination.

    Related Experiment Videos

    Last Updated: May 24, 2026

    Simulation of a Scaled Assembly Process with Collaboration of a Robotic Arm and Monitoring through a Vision System for Quality Control
    05:47

    Simulation of a Scaled Assembly Process with Collaboration of a Robotic Arm and Monitoring through a Vision System for Quality Control

    Published on: August 29, 2025

    Area of Science:

    • Robotics
    • Computer Vision
    • Control Systems

    Background:

    • Visual control of multi-robot systems is challenging, especially with uncalibrated, moving cameras.
    • Existing methods often have limitations regarding camera motion and control law efficiency.

    Purpose of the Study:

    • To develop a robust visual control framework for multi-robot systems using homography.
    • To enable robots to reach a target configuration based solely on visual cues from a dynamic, uncalibrated camera.

    Main Methods:

    • A homography-based framework is proposed, utilizing the homography induced by the multi-robot system.
    • An image-based control law is developed, imposing a rigidity constraint for coordinated motion.
    • The control law is designed to be independent of camera motion constraints.

    Main Results:

    • The proposed control law successfully drives the multi-robot system to the desired configuration.
    • The stability of the new control law has been rigorously proven.
    • Real-world experiments validate the effectiveness of the homography-based visual control approach.

    Conclusions:

    • The homography-based framework offers a significant advancement in visual control for multi-robot systems.
    • The removal of camera motion constraints and improved control law efficiency enhance practical applicability.
    • The validated approach provides a reliable method for achieving coordinated multi-robot rendezvous using visual information.