porting MATLAB MEX make file to windows

The project I'm currently working on is complete with the exception of one final road block before I can deploy it to our client. One library we use https://github.com/tum-vision/fastms has a provided makefile that only supports use on mac and linux, but it is crucial that we are able to use this library on a windows machine.

I don't think this should be a difficult problem but I have no experience with this. I'm looking for a quick solution to build this code for windows matlab.

One idea is to use cygwin on windows to run the make file, but there are still changes that need to be done to the makefile before it can work (that I'm not familiar with).

I'm just looking for a step in the right direction. Really hoping someone can help me out here.

Thanks in advance!