// TODO:
/// <summary>
/// Finds the theta and phi to best fit the camera
/// </summary>
/// <param name="camera"></param>
public void FitThetaPhi( OldCamera camera )
{
var cameraForward = camera.ViewDirection;
var cameraUp = camera.UpVector;
// compute theta:
// find theta such that the up vector
// when rotated about groundPlaneUp lies in the
// (ground plane forward)-(ground plane up) plane
// which is just the angle theta it makes projected onto the ground plane
// TODO: define a ground plane point as well? make it an affine basis...
// first: take the incoming up vector in world coordinates
// and transform it into the ground plane basis
// var gpToWorld = new Matrix3f( GroundPlaneRight, GroundPlaneUp, -GroundPlaneForward );
var gpToWorld = new Matrix3f( -GroundPlaneForward, GroundPlaneRight, GroundPlaneUp );
var worldToGP = gpToWorld.Inverse();
// camera up vector in local coordinates
var cameraUpGP = worldToGP * cameraUp;
// compute theta
var cameraUpGPSpherical = GeometryUtils.RectangularToSpherical( cameraUpGP );
Theta = cameraUpGPSpherical.y;
// Phi = MathUtils.PI - cameraUpGPSpherical.z;
Phi = 0;
}
