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I dont understand how defish uses fov parameter. It cant be both the angle and control distortion...
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It is, because the input and output projections are assumed to be fisheye and rectilinear.
Having vaguely followed this rather meandering thread, I feel it's worth pointing out again that if the aim is to find a projection where 3D rotation can be eliminated by changing the projection, translating the image in 2D, and then changing the projection back, then no such projection exists.