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I'm trying to dewarp a fisheye image into a simple rectilinear image of a subset of the fisheye. As part of this, I'm trying to map the azimuth/altitude values into a point on the image.

Grid image

The points around each meridian line are equidistant so I can't use a squashed circle and simple angles from the centre point won't fit. The two axis are also linear (in this projection)

Using the law of cosines, I can calculate the radial angle out from the optical axis, but I can't figure out how to calculate the angle around the axis.

How can I convert from the azimuth/altitude values (e.g. -40,40) to a pixel location (e.g. 190,157)?

I've found some similar questions but I'm not sure they're the same and I don't understand the answers :)

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    Related: http://stackoverflow.com/questions/2477774/correcting-fisheye-distortion-programmatically2012-07-19

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