Projection: Line of Sight on a Sphere

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

 

Ryan Hirst

 
Resource Type
Activity
Tags
perspective  projection 
Target Group (Age)
19+
Language
English (United States)
 
 
GeoGebra version
4.2
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5178
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