Frustum from matrix

In the last section, we created a Frustum primitive. We know that a frustum is made up of six planes: near, far, top, bottom, left, and right. In this section, we will explore how to extract those six planes from a view-projection matrix.

Getting ready

We are going to add a new method to the Camera class. This new method will create a frustum from the camera. In order for the Camera class to know what a Frustum is, we need to include Geometry3D.h in Camera.h.

How to do it…

Follow these steps to build a frustum out of the camera's view and projection matrices:

1. Add the public GetFrustum function to the Camera class in Camera.h:

   class Camera {
      // Existing class implementation not listed
      // The GetFrusutm function is new
      Frustum GetFrustum();
   };

2. Begin implementing the new GetFrustum function in Camera.cpp by creating a view-projection matrix; store each column of this matrix as a vector:

   Frustum Camera::GetFrustum() {
      Frustum result;

3. Build out the view projection...