Hybrid Input-Output Algorithm

The Hybrid Input-Output (HIO) Algorithm is a method used in imaging techniques, such as holography, to reconstruct an object from incomplete or indirect data. It iteratively refines an initial guess by applying constraints in both the real space (like known object properties) and the Fourier space (like measured diffraction patterns). By repeatedly updating and correcting the guess based on these constraints, the algorithm converges toward an accurate representation of the original object, even when some data is missing or noisy. It’s an efficient way to solve complex imaging problems where direct measurement isn't possible.