3D geometric contents are becoming increasingly popular. In this paper, we
study the problem of analyzing deforming 3D meshes using deep neural networks.
Deforming 3D meshes are flexible to represent 3D animation sequences as well as
collections of objects of the same category, allowing diverse shapes with
large-scale non-linear deformations. We propose a novel framework which we call
mesh variational autoencoders (mesh VAE), to explore the probabilistic latent
space of 3D surfaces. The framework is easy to train, and requires very few
training examples. We also propose an extended model which allows flexibly
adjusting the significance of different latent variables by altering the prior
distribution. Extensive experiments demonstrate that our general framework is
able to learn a reasonable representation for a collection of deformable
shapes, and produce competitive results for a variety of applications,
including shape generation, shape interpolation, shape space embedding and
shape exploration, outperforming state-of-the-art methods.

本文介绍了一种基于神经网络和自动编码器的新型框架 —— 网格变分自编码器来研究分析具有形变的 3D 网格，通过在概率潜空间中探索 3D 表面，既可以代表 3D 动画序列，也可以代表同一类别的对象集合，具有大规模非线性形变的多样形状，广泛的实验表明我们的方法可以实现不同的形状性能，如形状生成、形状内插，形状空间嵌入和形状探索，取得了超越最先进方法的结果。