Multiple spatial-frequency fringes selection for absolute phase recovery

In a recent published work we develop the technique to enhance the reliability of absolute phase maps by using the fringes of three spatial frequencies. The rules of selecting three spatial-frequency fringes and its relationship with phase error tolerance bound have been presented, but the general case of multiple spatial-frequency fringes has not been fully discussed. In this paper, we present the general rules to select the multiple spatial-frequency fringes for absolute phase maps recovery and its strategy to increase phase error tolerance bound. These theoretical conclusions are verified by experimental results.