#Projection Matrix to Intrinsic Parameters Matrix

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high zodiac
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Can anyone help me to do the conversion? ๐Ÿ˜“

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This is my Projection Matrix ^
(not OpenGL standard)
f = fov
a = aspect ratio = width / height
F = far plane
N = near plane

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Intrinsic parameters matrix:

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According to my calculations:
skew = 0
fx = (w/2) * (1/(a*tan(f/2)))
fy = (h/2) * (1/tan(f/2))
x0 = (w/2)
y0 = (h/2)