Let the position of two objects be related by the surface of a sphere. Place a camera at the position of the first object, with an arbitrary orientation.
[b]Proposition:[/b]
[i]To determine the position of the second object in an image taken by the first.[/i]
Boxy McGee lives on a very small, very round world. What does he see? Here, the positions of objects are given as follows:
1) the elevation above the nearest point on the sphere (Draw a straight line through the sphere center and the given point).
2) the land distance between these nearest points.
This is equivalent to a distance from the sphere center, and an angle of rotation.
[b]Free parameters:[/b]
Eye height
Object height
Distance between them
World radius
View angle
Field of view