stereographic projection?

Is there any shader that has stereographic projection? Perfect perspective is only a fish eye effect, It has not that expansion effect on wide angle. Stereographic projection is closest to human eyesight, We also see objects zoomed in While not looking at it directly. Just without the Curve bubble effect up to 170°. Si is there something like this? Thanks for answers.

Perfect perspective has all projections, using the k parameter:
k=1.0 rectilinear
k=0.5 stereographic
k=0.0 equidistant
k=-0.5 equisolid
k=-1.0 orthographic (peep hole)

Perfect perspective at default is set up with stereographic, but you must match the shader FOV with in-game FOV.