We propose a novel method for 3D shape completion from a partial observation of a point cloud. Existing methods either operate on a global latent code, which limits the expressiveness of their model, or autoregressively estimate the local features, which is highly computationally extensive. Instead, our method estimates the entire local feature field by a single feedforward network by formulating this problem as a tensor completion problem on the feature volume of the object. Due to the redundancy of local feature volumes, this tensor completion problem can be further reduced to estimating the canonical factors of the feature volume. A hierarchical variational autoencoder (VAE) with tiny MLPs is used to probabilistically estimate the canonical factors of the complete feature volume. The effectiveness of the proposed method is validated by comparing it with the state-of-the-art method quantitatively and qualitatively. Further ablation studies also show the need to adopt a hierarchical architecture to capture the multimodal distribution of possible shapes.

Generative models, as an important family of statistical modeling, target learning the observed data distribution via generating new instances. Along with the rise of neural networks, deep generative models, such as variational autoencoders (VAEs) and generative adversarial network (GANs), have made tremendous progress in 2D image synthesis. Recently, researchers switch their attentions from the 2D space to the 3D space considering that 3D data better aligns with our physical world and hence enjoys great potential in practice. However, unlike a 2D image, which owns an efficient representation (i.e., pixel grid) by nature, representing 3D data could face far more challenges. Concretely, we would expect an ideal 3D representation to be capable enough to model shapes and appearances in details, and to be highly efficient so as to model high-resolution data with fast speed and low memory cost. However, existing 3D representations, such as point clouds, meshes, and recent neural fields, usually fail to meet the above requirements simultaneously. In this survey, we make a thorough review of the development of 3D generation, including 3D shape generation and 3D-aware image synthesis, from the perspectives of both algorithms and more importantly representations. We hope that our discussion could help the community track the evolution of this field and further spark some innovative ideas to advance this challenging task.

本地化隐式功能的最新进展使神经隐式表示能够可扩展到大型场景。然而，这些方法采用的3D空间的定期细分未能考虑到表面占用的稀疏性和几何细节的变化粒度。结果，其内存占地面积与输入体积均别较大，即使在适度密集的分解中也导致禁止的计算成本。在这项工作中，我们为3D表面，编码OCTFIELD提供了一种学习的分层隐式表示，允许具有低内存和计算预算的复杂曲面的高精度编码。我们方法的关键是仅在感兴趣的表面周围分发本地隐式功能的3D场景的自适应分解。我们通过引入分层Octree结构来实现这一目标，以根据表面占用和部件几何形状的丰富度自适应地细分3D空间。随着八十六是离散和不可分辨性的，我们进一步提出了一种新颖的等级网络，其模拟八偏细胞的细分作为概率的过程，并以可差的方式递归地编码和解码八叠结构和表面几何形状。我们展示了Octfield的一系列形状建模和重建任务的价值，显示出在替代方法方面的优越性。

Figure 1: DeepSDF represents signed distance functions (SDFs) of shapes via latent code-conditioned feed-forward decoder networks. Above images are raycast renderings of DeepSDF interpolating between two shapes in the learned shape latent space. Best viewed digitally.

Figure 1. This paper introduces Local Deep Implicit Functions, a 3D shape representation that decomposes an input shape (mesh on left in every triplet) into a structured set of shape elements (colored ellipses on right) whose contributions to an implicit surface reconstruction (middle) are represented by latent vectors decoded by a deep network. Project video and website at ldif.cs.princeton.edu.

In recent years, substantial progress has been achieved in learning-based reconstruction of 3D objects. At the same time, generative models were proposed that can generate highly realistic images. However, despite this success in these closely related tasks, texture reconstruction of 3D objects has received little attention from the research community and state-of-the-art methods are either limited to comparably low resolution or constrained experimental setups. A major reason for these limitations is that common representations of texture are inefficient or hard to interface for modern deep learning techniques. In this paper, we propose Texture Fields, a novel texture representation which is based on regressing a continuous 3D function parameterized with a neural network. Our approach circumvents limiting factors like shape discretization and parameterization, as the proposed texture representation is independent of the shape representation of the 3D object. We show that Texture Fields are able to represent high frequency texture and naturally blend with modern deep learning techniques. Experimentally, we find that Texture Fields compare favorably to state-of-the-art methods for conditional texture reconstruction of 3D objects and enable learning of probabilistic generative models for texturing unseen 3D models. We believe that Texture Fields will become an important building block for the next generation of generative 3D models.

Point cloud completion is a generation and estimation issue derived from the partial point clouds, which plays a vital role in the applications in 3D computer vision. The progress of deep learning (DL) has impressively improved the capability and robustness of point cloud completion. However, the quality of completed point clouds is still needed to be further enhanced to meet the practical utilization. Therefore, this work aims to conduct a comprehensive survey on various methods, including point-based, convolution-based, graph-based, and generative model-based approaches, etc. And this survey summarizes the comparisons among these methods to provoke further research insights. Besides, this review sums up the commonly used datasets and illustrates the applications of point cloud completion. Eventually, we also discussed possible research trends in this promptly expanding field.

点云的语义场景重建是3D场景理解的必不可少的任务。此任务不仅需要识别场景中的每个实例，而且还需要根据部分观察到的点云恢复其几何形状。现有方法通常尝试基于基于检测的主链的不完整点云建议直接预测完整对象的占用值。但是，由于妨碍了各种检测到的假阳性对象建议以及对完整对象学习占用值的不完整点观察的歧义，因此该框架始终无法重建高保真网格。为了绕开障碍，我们提出了一个分离的实例网格重建（DIMR）框架，以了解有效的点场景。采用基于分割的主链来减少假阳性对象建议，这进一步使我们对识别与重建之间关系的探索有益。根据准确的建议，我们利用网状意识的潜在代码空间来解开形状完成和网格生成的过程，从而缓解了由不完整的点观测引起的歧义。此外，通过在测试时间访问CAD型号池，我们的模型也可以通过在没有额外训练的情况下执行网格检索来改善重建质量。我们用多个指标彻底评估了重建的网格质量，并证明了我们在具有挑战性的扫描仪数据集上的优越性。代码可在\ url {https://github.com/ashawkey/dimr}上获得。

机器学习的最近进步已经创造了利用一类基于坐标的神经网络来解决视觉计算问题的兴趣，该基于坐标的神经网络在空间和时间跨空间和时间的场景或对象的物理属性。我们称之为神经领域的这些方法已经看到在3D形状和图像的合成中成功应用，人体的动画，3D重建和姿势估计。然而，由于在短时间内的快速进展，许多论文存在，但尚未出现全面的审查和制定问题。在本报告中，我们通过提供上下文，数学接地和对神经领域的文学进行广泛综述来解决这一限制。本报告涉及两种维度的研究。在第一部分中，我们通过识别神经字段方法的公共组件，包括不同的表示，架构，前向映射和泛化方法来专注于神经字段的技术。在第二部分中，我们专注于神经领域的应用在视觉计算中的不同问题，超越（例如，机器人，音频）。我们的评论显示了历史上和当前化身的视觉计算中已覆盖的主题的广度，展示了神经字段方法所带来的提高的质量，灵活性和能力。最后，我们展示了一个伴随着贡献本综述的生活版本，可以由社区不断更新。

With the rising industrial attention to 3D virtual modeling technology, generating novel 3D content based on specified conditions (e.g. text) has become a hot issue. In this paper, we propose a new generative 3D modeling framework called Diffusion-SDF for the challenging task of text-to-shape synthesis. Previous approaches lack flexibility in both 3D data representation and shape generation, thereby failing to generate highly diversified 3D shapes conforming to the given text descriptions. To address this, we propose a SDF autoencoder together with the Voxelized Diffusion model to learn and generate representations for voxelized signed distance fields (SDFs) of 3D shapes. Specifically, we design a novel UinU-Net architecture that implants a local-focused inner network inside the standard U-Net architecture, which enables better reconstruction of patch-independent SDF representations. We extend our approach to further text-to-shape tasks including text-conditioned shape completion and manipulation. Experimental results show that Diffusion-SDF is capable of generating both high-quality and highly diversified 3D shapes that conform well to the given text descriptions. Diffusion-SDF has demonstrated its superiority compared to previous state-of-the-art text-to-shape approaches.

This work introduces alternating latent topologies (ALTO) for high-fidelity reconstruction of implicit 3D surfaces from noisy point clouds. Previous work identifies that the spatial arrangement of latent encodings is important to recover detail. One school of thought is to encode a latent vector for each point (point latents). Another school of thought is to project point latents into a grid (grid latents) which could be a voxel grid or triplane grid. Each school of thought has tradeoffs. Grid latents are coarse and lose high-frequency detail. In contrast, point latents preserve detail. However, point latents are more difficult to decode into a surface, and quality and runtime suffer. In this paper, we propose ALTO to sequentially alternate between geometric representations, before converging to an easy-to-decode latent. We find that this preserves spatial expressiveness and makes decoding lightweight. We validate ALTO on implicit 3D recovery and observe not only a performance improvement over the state-of-the-art, but a runtime improvement of 3-10$\times$. Project website at https://visual.ee.ucla.edu/alto.htm/.

There is no settled universal 3D representation for geometry with many alternatives such as point clouds, meshes, implicit functions, and voxels to name a few. In this work, we present a new, compelling alternative for representing shapes using a sequence of cross-sectional closed loops. The loops across all planes form an organizational hierarchy which we leverage for autoregressive shape synthesis and editing. Loops are a non-local description of the underlying shape, as simple loop manipulations (such as shifts) result in significant structural changes to the geometry. This is in contrast to manipulating local primitives such as points in a point cloud or a triangle in a triangle mesh. We further demonstrate that loops are intuitive and natural primitive for analyzing and editing shapes, both computationally and for users.

With the advent of deep neural networks, learning-based approaches for 3D reconstruction have gained popularity. However, unlike for images, in 3D there is no canonical representation which is both computationally and memory efficient yet allows for representing high-resolution geometry of arbitrary topology. Many of the state-of-the-art learningbased 3D reconstruction approaches can hence only represent very coarse 3D geometry or are limited to a restricted domain. In this paper, we propose Occupancy Networks, a new representation for learning-based 3D reconstruction methods. Occupancy networks implicitly represent the 3D surface as the continuous decision boundary of a deep neural network classifier. In contrast to existing approaches, our representation encodes a description of the 3D output at infinite resolution without excessive memory footprint. We validate that our representation can efficiently encode 3D structure and can be inferred from various kinds of input. Our experiments demonstrate competitive results, both qualitatively and quantitatively, for the challenging tasks of 3D reconstruction from single images, noisy point clouds and coarse discrete voxel grids. We believe that occupancy networks will become a useful tool in a wide variety of learning-based 3D tasks.

在本文中，我们从功能学习的角度解决了点云完成的具有挑战性的问题。我们的主要观察结果是，要恢复基础结构以及表面细节，给定部分输入，基本组件是一个很好的特征表示，可以同时捕获全球结构和局部几何细节。因此，我们首先提出了FSNET，这是一个功能结构模块，可以通过从本地区域学习多个潜在图案来适应汇总点的点功能。然后，我们将FSNET集成到粗线管道中，以完成点云完成。具体而言，采用2D卷积神经网络将特征图从FSNET解码为粗且完整的点云。接下来，使用一个点云UP抽样网络来从部分输入和粗糙的中间输出中生成密集的点云。为了有效利用局部结构并增强点分布均匀性，我们提出了IFNET，该点具有自校正机制的点提升模块，该模块可以逐步完善生成的密集点云的细节。我们已经在Shapenet，MVP和Kitti数据集上进行了定性和定量实验，这些实验表明我们的方法优于最先进的点云完成方法。

allows us to train our model in the variational inference framework. Empirically, we demonstrate that PointFlow achieves state-of-the-art performance in point cloud generation. We additionally show that our model can faithfully reconstruct point clouds and learn useful representations in an unsupervised manner. The code is available at https: //github.com/stevenygd/PointFlow.

Training parts from ShapeNet. (b) t-SNE plot of part embeddings. (c) Reconstructing entire scenes with Local Implicit Grids Figure 1:We learn an embedding of parts from objects in ShapeNet [3] using a part autoencoder with an implicit decoder. We show that this representation of parts is generalizable across object categories, and easily scalable to large scenes. By localizing implicit functions in a grid, we are able to reconstruct entire scenes from points via optimization of the latent grid.

最近对隐含形状表示的兴趣日益增长。与明确的陈述相反，他们没有解决局限性，他们很容易处理各种各样的表面拓扑。为了了解这些隐式表示，电流方法依赖于一定程度的形状监督（例如，内部/外部信息或距离形状知识），或者至少需要密集点云（以近似距离 - 到 - 到 - 形状）。相比之下，我们介绍{\方法}，一种用于学习形状表示的自我监督方法，从可能极其稀疏的点云。就像在水牛的针问题一样，我们在点云上“掉落”（样本）针头，认为，静统计地靠近表面，针端点位于表面的相对侧。不需要形状知识，点云可以高稀疏，例如，作为车辆获取的Lidar点云。以前的自我监督形状表示方法未能在这种数据上产生良好的结果。我们获得定量结果与现有的形状重建数据集上现有的监督方法标准，并在Kitti等硬自动驾驶数据集中显示有前途的定性结果。

In this paper, we learn a diffusion model to generate 3D data on a scene-scale. Specifically, our model crafts a 3D scene consisting of multiple objects, while recent diffusion research has focused on a single object. To realize our goal, we represent a scene with discrete class labels, i.e., categorical distribution, to assign multiple objects into semantic categories. Thus, we extend discrete diffusion models to learn scene-scale categorical distributions. In addition, we validate that a latent diffusion model can reduce computation costs for training and deploying. To the best of our knowledge, our work is the first to apply discrete and latent diffusion for 3D categorical data on a scene-scale. We further propose to perform semantic scene completion (SSC) by learning a conditional distribution using our diffusion model, where the condition is a partial observation in a sparse point cloud. In experiments, we empirically show that our diffusion models not only generate reasonable scenes, but also perform the scene completion task better than a discriminative model. Our code and models are available at https://github.com/zoomin-lee/scene-scale-diffusion