Axis Constrained Collision Distance

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SUMMARY

The discussion focuses on calculating the axis-constrained collision distance between two circles. To determine the distance until contact, one must draw a line from the center of the larger circle in the direction of its movement. The critical step involves calculating the perpendicular distance from the center of the smaller circle to this drawn line. Without this geometric information, solving the collision distance is not feasible.

PREREQUISITES
  • Understanding of basic geometry concepts, specifically circles and distances.
  • Familiarity with vector mathematics for determining direction and distance.
  • Knowledge of collision detection principles in computational geometry.
  • Experience with graphical representations of geometric shapes.
NEXT STEPS
  • Research methods for calculating perpendicular distances in geometry.
  • Explore collision detection algorithms in 2D graphics.
  • Learn about vector mathematics and its applications in physics simulations.
  • Investigate tools for visualizing geometric relationships, such as GeoGebra.
USEFUL FOR

Game developers, computer graphics programmers, and anyone involved in physics simulations or collision detection algorithms.

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I have 2 curves and I need to slide 1 of the circles along an axis until it exactly meets the other circle. How do I determine the distance until contact?
 

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Draw a line from the center of the larger circle in the direction of its travel. You need to know the perpendicular-line distance from the center of the smaller circle to the drawn line. It is impossible to solve the problem without some information along those lines.
 

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