Tuesday 2 August 2011

Yaw, Pitch and Roll


In flight simulators, the angles of rotation are about the center of mass of the airplane. The camera is in the nose of the plane.
 Pitch :
Yaw, Pitch and Roll
 Roll :
Yaw, Pitch and Roll
 Yaw :
Yaw, Pitch and Roll

The U-V-N System


The camera plane is defined by 3 parameters:
U-V-N System

  • View Reference Point (VRP): A point (in the world frame) indicating the center of the camera's image plane. This specifies the position of the camera in space.
  • View Plane Normal (VPN): A unit vector perpendicular to the camera's image plane. This specifies the orientation of the camera.
  • View Up (VUP): A vector indicating the up direction (in world coordinates) for the camera.

3d Viewing in Computer Graphics

3d Viewing in Computer Graphics

      Two stages to the 3D to 2D transformation
  • First a clipping,
  • Then a projection.
3d Viewing in Computer Graphics
The view volume of a perspective projection is the infinite volume defined by the combination of the PRP and the view window, which defines a pyramid. This can be contrasted to the view volume for a parallel projection which gives an infinite parallelepiped.
3d Viewing in Computer Graphics



Projection Matrices

Projection Matrices

 Projection Matrices