Non-line-of-sight (NLOS) imaging is attracting extensive attention due to its ability to establish the objects hidden from the direct line-of-sight, which prompts potential applications in autonomous driving, robotic vision, biomedical imaging, and other domains. Various NLOS imaging techniques have been successively demonstrated. In this paper, we propose a speckle-correlation-based method to achieve NLOS imaging under white-light illumination. In the proposed method, we process the raw speckle pattern by incorporating the conventional speckle correlation imaging (SCI) with the Zernike polynomial fitting, named ZPF-SCI method, to enhance the performance of the calculated autocorrelation, a key step to achieve optimal image quality. Experimental results demonstrate that our method is effective even in the presence of ambient light, which circumvents the limitation of the conventional SCI that has to be performed in a darkroom. Furthermore, the proposed ZPF-SCI method is insensitive to the angle that the detector deviates from the vertical plane of the optical axis. The quality of the reconstructed image is still acceptable even if the deviation angle reaches 8 degrees. These superiorities facilitate the practical application of the method. © 2023 Elsevier Ltd