why does camera distance = 0.5widthtan(fov/2) instead of 0.5*width / tan(fov/2)

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according to Trigonometric function formula,Tangent value perspective should be equal to 0.5*(plan width) / camera distance, which performs wrong in program. at present, i know it's my camera distance's problem, but i don't know why?

Posted 8-Feb-14 16:24pm

AARON_ZXF

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Sergey Alexandrovich Kryukov 8-Feb-14 23:06pm

Which program? :-)
—SA

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Shmuel Zang · Answer 1 · 2014-02-08T19:14:00

Tangent of what? Did you mean the tangent of the FOV angle?

Your formula (0.5*(plan width)/(camera distance)) is for the tangent of the half of the FOV angle.

You can see more details on FOV zooming in the zoom section of my D3dScenePresenter - How to present and manipulate a 3D scene using MDX article.

why does camera distance = 0.5*width*tan(fov/2) instead of 0.5*width / tan(fov/2)