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Game worlds are viewed from a camera, which is the viewpoint from which the game world is observed from.
1
vote
OpenGL Arc-Ball Camera Yaw Pitch GLM::Rotate
That means roll is a rotation around the Z axis, which means the camera is "looking down" the Z axis. … Another consequence of using lookAt is that when the pitch causes the camera to cross the up vector "poles" the view will appear to flip. …
3
votes
Accepted
How can I set up an intuitive perspective projection/view matrix combination in OpenGL, usin...
Since we're dealing with a right triangle, the easiest solution is to use the definition of the tangent function:
tan(α) = A / B
Substituting half the height of the screen, the z coordinate of the camera … I was able to reproduce your screenshot using my engine:
// ...
float fov_y = 45.f;
float z = 0.5 / tan(glm::radians(fov_y / 2.f));
mat4 view = glm::lookAt(
vec3(0.5, 0.5, z), // camera position …