Software engineering

Image plane

Convergence (economics)

Image quality

Iterative and incremental development

Economics

Geometry

Constraint (computer-aided design)

Physics

Economic growth

Iterative method

Mathematics

Image (mathematics)

Optics

Mathematical optimization

Quantum mechanics

Iterative reconstruction

Holography

Computer science

Algorithm

Phase (matter)

Computer vision

Applied Sciences

A weighted constraint iterative algorithm is presented to calculate phase holograms with quality reconstruction. The image plane is partitioned into two regions where different constraint strategies are implemented during the iteration process. In the image plane, the signal region is constrained directly according to the amplitude distribution of the target image based on an adaptive strategy, whereas the non-signal region is constrained indirectly by total energy control of the hologram plane based on the energy conservation principle. The weighted constraint strategy can improve the reconstruction quality of the phase holograms by broadening the optimizing space of the iterative algorithm, leading to effective convergence of the iteration process. Finally, numerical and optical experiments have been performed to validate the feasibility of our method.

Weighted Constraint Iterative Algorithm for Phase Hologram Generation