Inverse Problems in Imaging

Inverse problems in imaging involve determining the original image or object from measurements or data that have been collected indirectly, often distorted or incomplete. For example, in medical imaging like MRI or CT scans, the equipment gathers signals that are then processed to reconstruct a visual image of the body's interior. These problems are called "inverse" because they work backwards from the observed data to infer the cause or original source. Solving inverse problems requires advanced mathematical techniques to accurately interpret the data and produce clear, reliable images, even when the measurements are noisy or limited.