 Every day millions of people upload images to Instagram and spend lots of time artfully blurring them The reason Instagram filters work? Matz use mats to blur images so we can use more mats to unblurred them if needed Let's say you blurred a picture of your dog or your ex and then deleted original If I know the matz used to blur it and I can recover the original sharp image Photography is fine arts, but medical imaging isn't Let's say I have a brain scan like this image on your left There's a tumor on it, but it's blurred We can't exactly tell how the tumor looks like because this image was never shot now This is a problem because surgeons working just from this image will have a hard time finding So they can figure out how to remove it Making a blurred image sharp is an important and difficult problem to solve I don't know what Instagram filter was used. So I need to do advanced mathematics to make it clear With images we see what the naked eye may not from the human body to heavenly bodies That's why images are important in science Unfortunately, it is more common in science for images to get blurred than sharp Such images are meant to convey rich information But when blurred they're useless This is because images are captured in different ways Some using a limited amount of radio waves like ultrasound and the human body is so precious that Even using just enough radio waves to capture a nice image Could be dangerous Making a blurred image sharp is a challenging math problem think of the final sharp image as the solution to a complex set of equations a Mathematical problem is well post if the solution exists It's unique and stable if you violate one of these three Then you have what is called an ill post problem Unfortunately the unblering problem is ill post That's why it has to be approximated into a sequence of well post problems By solving each of these problems step by step We can get closer to that final sharp image that the surgeon needs Through my research tumors and brain scans will appear clearer like this image on your right And this will help surgeons remove tumors easier, but my work doesn't just help medical imaging Can also help us capture more breathtaking photos from outer space So next time use Instagram spare a thought for the poor mathematician like me was done blur things for a living