Jointly estimating bias field and reconstructing uniform MRI image by deep learning

•A network structure of bias field estimation and uniform image reconstruction was designed to compensate for the intensity loss;•The proposed BFCNet improves the image uniformity by 8.3% and 10.1%, the segmentation accuracy by 4.1% and 6.8% on white and grey matter in T2-weighted brain images;•The proposed BFCNet outperforms the state-of-the-art traditional methods and deep learning methods on estimating bias field and preserving image structure;•The proposed BFCNet is robust to different levels of bias field and noise.