Based on the three-dimensional (3D) measurement technology of grating fringe projection, phase principal values are extracted using the phase shift method. The accuracy of the phase principal value expansion is the key factor in determining the accuracy of the entire 3D measurement system. Temporal phase unwrapping algorithms can realize the phase unwrapping of isolated and discontinuous objects; however, owing to the influence of sensors and environmental noise, the phase unwrapping result has large errors. To select a good antinoise algorithm, herein, several temporal phase unwrapping algorithms were compared using simulations and experiments. Results show that the multi-frequency (hierarchical) phase unwrapping and negative exponential fitting methods exhibit good antinoise performance and high phase resolution accuracy. Alternatively, the multi-wavelength (heterodyne) method and multi-wavelength (heterodyne) method based on the fringe location exhibit a poor antinoise performance and large phase errors. The findings of this study can provide guidance to researchers in selecting phase decomposition algorithms, and they have important application values.