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Collisions in Multiple Dimensions: Problem Solving01:06

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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.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
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Collisions in Multiple Dimensions: Introduction01:05

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It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
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Elastic Collisions: Case Study01:15

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Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...
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Elastic Collisions: Introduction01:00

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An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
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Principle of Moments: Problem Solving01:30

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The principle of moments is a fundamental concept in physics and engineering. It refers to the balancing of forces and moments around a point or axis, also known as the pivot. This principle is used in many real-life scenarios, including construction, sports, and daily activities like opening doors and pushing objects.
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Types of Collisions - II01:19

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When two or more objects collide with each other, they can stick together to form one single composite object (after collision). The total mass of the object after the collision is the sum of the masses of the original objects, and it moves with a velocity dictated by the conservation of momentum. Although the system's total momentum remains constant, the kinetic energy decreases, and thus such a collision is an inelastic collision. Most of the collisions between objects in daily life are...
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Updated: Jun 13, 2025

A Real-Time Interactive System for Studying Confrontational Pursuit Behavior in Rodents
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Releaf: An Efficient Method for Real-Time Occlusion Handling by Game Theory.

Hamid Osooli1, Nakul Joshi2, Pranav Khurana3

  • 1Persistent Autonomy and Robot Learning (PeARL) Lab, University of Massachusetts Lowell, Lowell, MA 01854, USA.

Sensors (Basel, Switzerland)
|September 14, 2024
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Summary
This summary is machine-generated.

This study introduces Releaf, a novel algorithm for handling occlusions in multi-camera systems. Releaf assigns dynamic leader/follower roles to cameras, significantly improving tracking accuracy and enabling real-time performance.

Keywords:
game theorymechanism designocclusion handlingreal-time trackingrobotic eye

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Area of Science:

  • Robotics
  • Computer Vision
  • Mechanism Design

Background:

  • Multi-camera systems face challenges in maintaining uninterrupted video streams due to occlusions.
  • Occlusion significantly degrades the performance of visual tracking tasks in complex environments.

Purpose of the Study:

  • To develop an effective algorithm for real-time occlusion handling in multi-camera systems.
  • To improve the accuracy and robustness of video tracking in the presence of occlusions.

Main Methods:

  • Proposed a novel algorithm, Real-time leader finder (Releaf), utilizing mechanism design.
  • Assigned dynamic leader and follower roles to cameras based on Stackelberg equilibrium to minimize occlusion.
  • Evaluated the algorithm on a tendon-driven 3D-printed robotic eye tracking a human subject.

Main Results:

  • Releaf demonstrated significant improvements over Q-learning and Deep Q Networks (DQN) baselines.
  • Achieved 20% and 18% reduction in horizontal errors and an 81% enhancement in vertical error reduction (RMSE).
  • The algorithm operates in real-time, eliminating the need for extensive training.

Conclusions:

  • Releaf offers a superior and efficient solution for occlusion handling in multi-camera systems.
  • The real-time capability and improved accuracy make Releaf a promising approach for various applications.
  • Mechanism design provides a robust framework for addressing dynamic challenges in robotic vision systems.