Algorithm for overlaying an image on a sphere?

Question

Programming

There is an original image of the panorama. We need an algorithm or a library (C++/C#) that can be used to "impose" the original panorama onto the sphere.

Answer 1

How do you like this library?)
OpenGL Texture on a sphere

Answer 2

Thank you. I'll expand on the topic a little more. I have vector coordinates of polygon vertices. These polygons represent real objects in space (camera privacy masks). I need to get the transformed coordinates of these polygons as a result. So that when the camera moves, the polygons outline the necessary objects in different perspectives.