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Lens Assembly Structural Analysis (view source)
Revision as of 19:32, 29 April 2010
, 19:32, 29 April 2010→Future Improvements
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 any value R at the previous 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 any value R at the previous lens.
[[Lens_arrangement.png|thumb|The lenses, as viewed by the sensor. The sensor perceives only the light that passes through every lens. The lenses appear off-center because the light is entering at some offset and angle.]]
[[Image:Lens_arrangement.png|thumb|The lenses, as viewed by the sensor. The sensor perceives only the light that passes through every lens. The lenses appear off-center because the light is entering at some offset and angle.]]
Given these equations, we can further calculate the magnification of the image by recalculating the position of its edges. Assuming the image is symmetrical on some X and Y axis, we can find its size by tracing the position of its edges, defined as the offset plus or minus half the size of the object. Given these, we can calculate the image's size and location on each of the lenses, as well as the sensor.
Given these equations, we can further calculate the magnification of the image by recalculating the position of its edges. Assuming the image is symmetrical on some X and Y axis, we can find its size by tracing the position of its edges, defined as the offset plus or minus half the size of the object. Given these, we can calculate the image's size and location on each of the lenses, as well as the sensor.
== Aperture ==
== Aperture ==
[[Image:Lens_side_trim.png|thumb|A side view of the lens assembly. Notice that because of the entry angle, one of the illustrated beams is cut off before reaching the second lens. The final image will be only the remaining half of the original.]]
The above equations can generate images magnified or offset beyond what the camera can resolve, as the camera lens assembly has a radius of 3.75 cm. To compensate for this and prevent resolution of an image larger than the camera can allow, we need to superimpose over our final offset and magnified image the effects of the lens assembly. At any given lens, the image will be at either its maximum or minimum magnification counting from the previous lens. These lenses can be generated by the equation
The above equations can generate images magnified or offset beyond what the camera can resolve, as the camera lens assembly has a radius of 3.75 cm. To compensate for this and prevent resolution of an image larger than the camera can allow, we need to superimpose over our final offset and magnified image the effects of the lens assembly. At any given lens, the image will be at either its maximum or minimum magnification counting from the previous lens. These lenses can be generated by the equation
== Future Improvements ==
== Future Improvements ==
* Add diagrams to this page
* Unknown