Intensity normalization of additive and multiplicative spatially multiplexed patterns with n encoded phases

•A fast, robust and user-free intensity normalization method is proposed.•Patterns of additive and multiplicative types with n encoded phases are supported.•The theoretical principles are explained and illustrated by computer simulations.•The feasibility of the proposal is verified by processing experimental data frames.•Future works in phase demodulation algorithms and experimental setups are motivated.

An efficient, robust and user-free intensity normalization method for patterns with n frequency-multiplexed phases of both additive and multiplicative types is proposed. For this, the parameter estimation approach by using the least-squares method is applied. The theoretical principles are given and the good performance of the proposal is verified by computer simulation and experimental results. Because the proposed method has good features such as robustness, simplicity, fast and user-free execution, it could be implemented in a wide variety of applications. This contribution motivates future generalization in both phase demodulation algorithms and experimental setups to exploit the benefits of additive/multiplicative patterns with multiple phases.