In the laser interferometric measurement of gear tooth flank topography， the collected wrapped phase map can be influenced by various sources of noise. These areas of poor phase quality in the wrapped phase map can lead to unwrapping errors and reduces measurement accuracy. This paper proposed a wrapped-phase repair method to address the problem. It utilized Tsallis relative entropy as an evaluation criterion， based on the probability distribution characteristics of the interference fringe image. The method first fitted the thresholded image using Gaussian distribution， then evaluated the phase quality by Tsallis relative entropy， finally patched the poor quality regions to improve the quality of phase unwrapped. The experimental results show that the method can reduce the phase residue points by 40% and effectively improve the phase quality. The proposed method is user-friendly and highly accurate. It can be applied to other fields related to phase-shifting optics.