Collision resolution is a crucial aspect of game development and physics simulations. It ensures that when objects collide, the simulation responds appropriately. In this guide, we will explore the basics of collision resolution and how it works.

Types of Collisions

There are several types of collisions that can occur in a game or simulation:

  • Point-to-Point: This type of collision occurs when two objects collide at a single point.
  • AABB (Axis-Aligned Bounding Box): This is a simple bounding box that aligns with the axes of the coordinate system.
  • OBB ( Oriented Bounding Box): An OBB is similar to an AABB but can be rotated to better fit the shape of the object.
  • Sphere: A sphere is a perfect圆形 that can detect collisions with other spheres or objects.

Collision Detection

Before we can resolve collisions, we need to detect them. This is typically done using algorithms like:

  • Separating Axis Theorem (SAT): This theorem allows us to determine if two objects are colliding by checking if there is a line that separates the two objects.
  • Bounding Volume Overlap: This is a simpler method that checks if the bounding volumes of two objects overlap.

Collision Resolution

Once a collision is detected, we need to resolve it. This involves:

  • Calculating the collision normal: This is the direction of the collision.
  • Calculating the response vector: This is the direction and magnitude of the force that will resolve the collision.
  • Applying the response vector: This involves updating the position and velocity of the objects to resolve the collision.

Example

Let's say we have two spheres, Sphere A and Sphere B. We want to resolve the collision between them.

  1. Detect the collision: We use the sphere-sphere collision detection algorithm to determine if the spheres are colliding.
  2. Calculate the collision normal: We find the vector that points from the center of Sphere A to the center of Sphere B.
  3. Calculate the response vector: We calculate the magnitude of the response vector based on the relative velocities of the spheres.
  4. Apply the response vector: We update the position and velocity of the spheres to resolve the collision.

Further Reading

If you're interested in learning more about collision resolution, we recommend checking out our Advanced Collision Resolution guide.

Collision Resolution