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Translating from camera space, into see through display space

I'm new to image processing and opencv, so sorry if this is the wrong place for this question. I have a head mounted camera taking video that I am doing some object detection on. Then I want to draw the outline of the detected object on my see through eye mounted display. Now I see some obvious problems with this. First of course the camera is out of x,y alignment with my eye. I don't think moving it would be too hard.

But then the field of view of the camera and my display are both different, so I'm thinking I have to crop the camera to the smaller FOV of the display. I'm wondering if I can just use the ratio of the two FOVs for this?

Am I missing something? Is there a prefered or right way to come up with this translation?

Thank you for your time!