Cimmino simultaneously iterative holographic projection

The Cimmino algorithm is an iterative used for solving linear equations ( Ax = b ) and part of a wider family algebraic reconstruction algorithms. Despite being in computed tomography digital signal processing, we present approach using it holographic projections the Fraunhofer region. Following work carried out by our group on Kaczmarz holography, earlier equation solver, compare performance speed against this algorithm. Three versions algorithm, full, eye, FFT, are evaluated compared to both Gerchberg-Saxton. Interestingly, derivation simplification leads input-output originally derived Fienup while solution well-known, link between these algorithms not despite around since 1930s, was solve phase retrieval. While full eye reflect fairly poorly FFT terms image quality speed, delivers better results than all considered. It significantly faster Kaczmarz, only few milliseconds slower