Are there ready-made algorithms for converting photographs taken with different lenses to the form of a conventional lens (perspective projection)?

Question

Trigonometry

Task: There may be different types of photographs at the entrance (panoramic, fisheye, mirror ball). It is required to "stretch" them onto a (single) sphere, from which to then read the data in perspective (ie, a two-stage transformation, direct is unacceptable).
Are there ready-made solutions (open source) or libraries for this?