Abstract:This paper presents a data-driven approach for transparent shape from polarization. Due to the inherent high transmittance, the previous shape from polarization(SfP) methods based on specular reflection model have difficulty in estimating transparent shape, and the lack of datasets for transparent SfP also limits the application of the data-driven approach. Hence, we construct the transparent SfP dataset which consists of both synthetic and real-world datasets. To determine the reliability of the physics-based reflection model, we define the physics-based prior confidence by exploiting the inherent fault of polarization information, then we propose a multi-branch fusion network to embed the confidence. Experimental results show that our approach outperforms other SfP methods. Compared with the previous method, the mean and median angular error of our approach are reduced from $19.00^\circ$ and $14.91^\circ$ to $16.72^\circ$ and $13.36^\circ$, and the accuracy $11.25^\circ, 22.5^\circ, 30^\circ$ are improved from $38.36\%, 77.36\%, 87.48\%$ to $45.51\%, 78.86\%, 89.98\%$, respectively.