3D shape modeling is labor-intensive and time-consuming and requires years of
expertise. Recently, 2D sketches and text inputs were considered as conditional
modalities to 3D shape generation networks to facilitate 3D shape modeling.
However, text does not contain enough fine-grained information and is more
suitable to describe a category or appearance rather than geometry, while 2D
sketches are ambiguous, and depicting complex 3D shapes in 2D again requires
extensive practice. Instead, we explore virtual reality sketches that are drawn
directly in 3D. We assume that the sketches are created by novices, without any
art training, and aim to reconstruct physically-plausible 3D shapes. Since such
sketches are potentially ambiguous, we tackle the problem of the generation of
multiple 3D shapes that follow the input sketch structure. Limited in the size
of the training data, we carefully design our method, training the model
step-by-step and leveraging multi-modal 3D shape representation. To guarantee
the plausibility of generated 3D shapes we leverage the normalizing flow that
models the distribution of the latent space of 3D shapes. To encourage the
fidelity of the generated 3D models to an input sketch, we propose a dedicated
loss that we deploy at different stages of the training process. We plan to
make our code publicly available.

该研究旨在探索利用虚拟现实草图作为 3D 模型生成网络的条件模态之一，通过使用多模态 3D 形状表示和实现物理合理性的方法，在模型训练过程中采用特定的损失函数以生成遵循输入草图结构的多个 3D 模型的问题。