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Related Concept Videos

Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

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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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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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Types Of Collisions - I01:04

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When two objects come in direct contact with each other, it is called a collision. During a collision, two or more objects exert forces on each other in a relatively short amount of time. A collision can be categorized as either an elastic or inelastic collision. If two or more objects approach each other, collide and then bounce off, moving away from each other with the same relative speed at which they approached each other, the total kinetic energy of the system is said to be conserved. This...
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Modeling the Functional Network for Spatial Navigation in the Human Brain
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Collision-aware interactive simulation using graph neural networks.

Xin Zhu1,2, Yinling Qian2, Qiong Wang3

  • 1College of Computer Science, Sichuan University, Chengdu, 610065, China.

Visual Computing for Industry, Biomedicine, and Art
|June 6, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a deep interactive physical simulation framework to handle tool-object collisions effectively. The novel approach uses graph neural networks and self-supervised learning to reduce interpenetration artifacts while maintaining high simulation efficiency.

Keywords:
Collision-awareContinuous collision detectionDeep physical simulationGraph neural network

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Area of Science:

  • Computer Graphics
  • Physics Simulation
  • Machine Learning

Background:

  • Deep simulations offer high acceleration but lack effective collision handling.
  • Existing methods struggle with accurate tool-object collision detection and response.

Purpose of the Study:

  • To propose a deep interactive physical simulation framework for robust tool-object collision management.
  • To enhance dynamic information prediction by incorporating collision states.

Main Methods:

  • Utilized a graph neural network as the core model.
  • Introduced a collision-aware recursive regression module using interpenetration distances from vertex-face and edge-edge tests.
  • Developed a novel self-supervised collision term for compact collision response.

Main Results:

  • The proposed framework effectively predicts dynamic information considering collision states.
  • Significantly reduced interpenetration artifacts in simulations.
  • Maintained high simulation efficiency.

Conclusions:

  • The deep interactive physical simulation framework provides an effective solution for tool-object collisions.
  • The method balances accuracy in collision response with computational efficiency.