  We present the Locally Adaptive Morphable Model (LAMM), a highly flexible
Auto-Encoder (AE) framework for learning to generate and manipulate 3D meshes.
We train our architecture following a simple self-supervised training scheme in
which input displacements over a set of sparse control vertices are used to
overwrite the encoded geometry in order to transform one training sample into
another. During inference, our model produces a dense output that adheres
locally to the specified sparse geometry while maintaining the overall
appearance of the encoded object. This approach results in state-of-the-art
performance in both disentangling manipulated geometry and 3D mesh
reconstruction. To the best of our knowledge LAMM is the first end-to-end
framework that enables direct local control of 3D vertex geometry in a single
forward pass. A very efficient computational graph allows our network to train
with only a fraction of the memory required by previous methods and run faster
during inference, generating 12k vertex meshes at $>$60fps on a single CPU
thread. We further leverage local geometry control as a primitive for higher
level editing operations and present a set of derivative capabilities such as
swapping and sampling object parts. Code and pretrained models can be found at
https://github.com/michaeltrs/LAMM.
