How to match the colors in an image with colors in another image?

How to match the colors in an image with colors in another image?

I want to write a program that needs to swap two human faces in C#. But
the skin colors are not consistent. In Photoshop, I can use the command
"Match color" to match colors in the source image with colors in target
image. And the issue will be solved. How to do it in my source code? Or
what is algorithm Photoshop used?