## DeepMetaHandles: Learning Deformation Meta-Handles of 3D Meshes with Biharmonic Coordinates

### Abstract

We propose DeepMetaHandles, a 3D conditional generative model based on mesh deformation. Given a collection of 3D meshes of a category and their deformation handles (control points), our method learns a set of meta-handles for each shape, which are represented as combinations of the given handles. The disentangled meta-handles factorize all the plausible deformations of the shape, while each of them corresponds to an intuitive deformation. A new deformation can then be generated by sampling the coefficients of the meta-handles in a specific range. We employ biharmonic coordinates as the deformation function, which can smoothly propagate the control points’ translations to the entire mesh. To avoid learning zero deformation as meta-handles, we incorporate a target-fitting module which deforms the input mesh to match a random target. To enhance deformations’ plausibility, we employ a soft-rasterizer-based discriminator that projects the meshes to a 2D space. Our experiments demonstrate the superiority of the generated deformations as well as the interpretability and consistency of the learned meta-handles.

Minghua Liu, Minhyuk Sung, Radomír Měch, and Hao Su
DeepMetaHandles: Learning Deformation Meta-Handles of 3D Meshes with Biharmonic Coordinates
CVPR 2021 (Oral)

arXiv | Code

### Bibtex

@proceedings{DeepMetaHandles:2021,
author = {Liu, Minghua and Sung, Minhyuk and M\v{e}ch, Radom\'{i}r and Su, Hao},
title = {DeepMetaHandles: Learning Deformation Meta-Handles of 3D Meshes with Biharmonic Coordinates},
booktitle = {CVPR},
year = {2021}
}


### Interactive Shape Editing Demo

[Open in a New Window]

Move the meta-handle sliders on the right panel to edit the shapes jointly.
Drag on shapes to change the viewpoint.