I have tried going through a lot of source material to find a clear answer to this but i have failed to do so. I have an ellipsoidal wgs84 projected earth model on which i have several geometries. I want to set the viewing frustum on one of these geometries. These geometries are 3D so i basically find the axis aligned bounding box of my geometry in world coordinates. I dont really have direct access to the camera so modifying the projection or the model view matrices of the camera directly is not an option. What i do know is the fovy and the bounding box and from this i intend to “fit” this bounding box to the viewing frustum.

I have put together a few steps which i think needs to be followed for this

- Find the rotation from the bounding box center to the z-axis.
- Transform the axis aligned bounding box to an oriented bounding box by multiplying with this rotation.
- Consider the corners of the bounding box which were originally corner1(xmin,ymin,zmin) and corner2(xmin,ymax,zmax) and find the new values of this after rotation.
- Find the distance between corner 1 and corner2 extentDistance. Then do cameraDistance = (extentDistance/2)/tan(fovy/2).

Is this entire procedure fine, or are there some fundamental issues with it?