To fit or not to fit: Model-based Face Reconstruction and Occlusion Segmentation from Weak Supervision

3D face reconstruction from a single image is challenging due to its ill-posed nature. Model-based face autoencoders address this issue effectively by fitting a face model to the target image in a weakly supervised manner. However, in unconstrained environments occlusions distort the face reconstruction because the model often erroneously tries to adapt to occluded face regions. Supervised occlusion segmentation is a viable solution to avoid the fitting of occluded face regions, but it requires a large amount of annotated training data. In this work, we enable model-based face autoencoders to segment occluders accurately without requiring any additional supervision during training, and this separates regions where the model will be fitted from those where it will not be fitted. To achieve this, we extend face autoencoders with a segmentation network. The segmentation network decides which regions the model should adapt to by reaching balances in a trade-off between including pixels and adapting the model to them, and excluding pixels so that the model fitting is not negatively affected and reaches higher overall reconstruction accuracy on pixels showing the face. This leads to a synergistic effect, in which the occlusion segmentation guides the training of the face autoencoder to constrain the fitting in the non-occluded regions, while the improved fitting enables the segmentation model to better predict the occluded face regions. Qualitative and quantitative experiments on the CelebA-HQ database and the AR database verify the effectiveness of our model in improving 3D face reconstruction under occlusions and in enabling accurate occlusion segmentation from weak supervision only. Code available at https://github.com/unibas-gravis/Occlusion-Robust-MoFA.