My Macbook Air's camera has a handful of broken sensor pixels all clumped together near the middle of the image. They're dead -- always black. When I'm on a video conference or a Facetime, this tends to end up making me look like I have a gap between my teeth or some small black thing stuck to my chin. It's irritating. Replacement will be expensive. I know it's possible to do dead pixel correction in post-production for images or videos, but I can't find a solution that allows me to feed the sensor output through the pixel correction before it gets used by other apps (e.g., Facetime or Skype or Google Hangouts or Slack call or something).
How can I find or adapt or build build a software solution for doing dead pixel correction on the sensor's output BEFORE it gets used by other applications?