Changes

We know logically that the image will not be compressed or stretched by passing through the lenses, as this cannot be seen in photography. First, therefore, we will track the center of the image as it passes through the lenses. This is done by calculating the offsets using the equation

We know logically that the image will not be compressed or stretched by passing through the lenses, as this cannot be seen in photography. First, therefore, we will track the center of the image as it passes through the lenses. This is done by calculating the offsets using the equation

<math>O = F_p * \tan{(\theta_p)}+{(S_p-F_p)}*\tan{(\theta)}</math>

<math>O = F_p \tan{(\theta_p)}+{(S_p-F_p)}\tan{(\theta)}\,</math>

where the entry angle is defined by

where the entry angle is defined by

<math> \theta = \arctan{(\tan({\theta_p})-\frac{O_p}{F}})</math>

<math> \theta = \arctan{(\tan({\theta_p})-\frac{O_p}{F}})</math>

where <math>\theta</math> is the entry angle at a given lens, <math>\theta_p</math> is the entry angle at the previous lens, <math>O_p</math> is the directional offset at the previous lens, and F is the focal length of the given lens.

where <math>\theta</math> is the entry angle at a given lens, <math>O</math> is the directional offset at the given lens, F is the focal length of the given lens, S is the spacing between the given lens and the next lens, and <math>R_p</math> is the value of R at the previous lens.

== Aperture ==

== Aperture ==