I'm not sure if there is a program that will automate a flat image to look like a 3D wireframe.
Ovaryraptor's answer is good but it is covering low poly art.
This looks like wireframe to me which is similar but different and does not apply to this question.
You basically need to imagine what it would look like as a 3D low polygon count object and draw where you think the lines would go. This helps if you have a little understanding of what 3D objects look like in wireframe mode.
Here is something someone 3D printed. That might help give you a better idea of what a wireframe of a 3D object might look like. I also thought it was fitting that it had part of the object on the left filled in. That is kind of like the effect of the image you provided.
Also look at How do I create a 3d wireframe object/low poly outline illustration?
Here is a picture from the possible duplicate. Which the answer was to use 3D software. But for your purposes its probably just be faster to guess what it would like like and draw the lines manually than it would be to recreate flat art in a 3D program then produce wireframe later.