Recent deep networks that directly handle points in a point set, e.g., PointNet, have been state-of-the-art for supervised learning tasks on point clouds such as classification and segmentation. In this work, a novel end-toend deep auto-encoder is proposed to address unsupervised learning challenges on point clouds. On the encoder side, a graph-based enhancement is enforced to promote local structures on top of PointNet. Then, a novel folding-based decoder deforms a canonical 2D grid onto the underlying 3D object surface of a point cloud, achieving low reconstruction errors even for objects with delicate structures. The proposed decoder only uses about 7% parameters of a decoder with fully-connected neural networks, yet leads to a more discriminative representation that achieves higher linear SVM classification accuracy than the benchmark. In addition, the proposed decoder structure is shown, in theory, to be a generic architecture that is able to reconstruct an arbitrary point cloud from a 2D grid. Our code is available at http://www.merl.com/research/ license#FoldingNet

Point clouds are characterized by irregularity and unstructuredness, which pose challenges in efficient data exploitation and discriminative feature extraction. In this paper, we present an unsupervised deep neural architecture called Flattening-Net to represent irregular 3D point clouds of arbitrary geometry and topology as a completely regular 2D point geometry image (PGI) structure, in which coordinates of spatial points are captured in colors of image pixels. \mr{Intuitively, Flattening-Net implicitly approximates a locally smooth 3D-to-2D surface flattening process while effectively preserving neighborhood consistency.} \mr{As a generic representation modality, PGI inherently encodes the intrinsic property of the underlying manifold structure and facilitates surface-style point feature aggregation.} To demonstrate its potential, we construct a unified learning framework directly operating on PGIs to achieve \mr{diverse types of high-level and low-level} downstream applications driven by specific task networks, including classification, segmentation, reconstruction, and upsampling. Extensive experiments demonstrate that our methods perform favorably against the current state-of-the-art competitors. We will make the code and data publicly available at https://github.com/keeganhk/Flattening-Net.

Point cloud is an important type of geometric data structure. Due to its irregular format, most researchers transform such data to regular 3D voxel grids or collections of images. This, however, renders data unnecessarily voluminous and causes issues. In this paper, we design a novel type of neural network that directly consumes point clouds, which well respects the permutation invariance of points in the input. Our network, named PointNet, provides a unified architecture for applications ranging from object classification, part segmentation, to scene semantic parsing. Though simple, PointNet is highly efficient and effective. Empirically, it shows strong performance on par or even better than state of the art. Theoretically, we provide analysis towards understanding of what the network has learnt and why the network is robust with respect to input perturbation and corruption.

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。

This paper presents SO-Net, a permutation invariant architecture for deep learning with orderless point clouds. The SO-Net models the spatial distribution of point cloud by building a Self-Organizing Map (SOM). Based on the SOM, SO-Net performs hierarchical feature extraction on individual points and SOM nodes, and ultimately represents the input point cloud by a single feature vector. The receptive field of the network can be systematically adjusted by conducting point-to-node k nearest neighbor search. In recognition tasks such as point cloud reconstruction, classification, object part segmentation and shape retrieval, our proposed network demonstrates performance that is similar with or better than state-of-the-art approaches. In addition, the training speed is significantly faster than existing point cloud recognition networks because of the parallelizability and simplicity of the proposed architecture. Our code is

Figure 1. Given input as either a 2D image or a 3D point cloud (a), we automatically generate a corresponding 3D mesh (b) and its atlas parameterization (c). We can use the recovered mesh and atlas to apply texture to the output shape (d) as well as 3D print the results (e).

点云是代表和存储3D几何数据的广泛使用的技术之一。在过去，已经提出了几种用于处理点云的方法。诸如PointNet和FoldingNet之类的方法已显示出3D形状分类和分割等任务的有希望的结果。这项工作提出了一个树结构化的自动编码器框架，以使用图形卷积利用层次信息来生成点云的强大嵌入。我们执行多个实验，以评估提出的编码器体系结构生成的嵌入质量，并可视化T-SNE映射，以突出显示其区分不同对象类的能力。我们进一步证明了所提出的框架在以下应用程序中的适用性：3D点云完成和基于单图的3D重建。

随着3D扫描技术的发展，3D视觉任务已成为一个流行的研究区域。由于由传感器获得的大量数据，无监督的学习对于理解和利用点云而没有昂贵的注释过程至关重要。在本文中，我们提出了一种新颖的框架和一个名为“PSG-Net”的有效自动编码器架构，用于重建基于点云的学习。与使用固定或随机2D点使用的现有研究不同，我们的框架为潜在集合生成输入依赖的点亮功能。 PSG-Net使用编码输入来通过种子生成模块产生点明智的特征，并通过逐渐应用种子特征传播模块逐渐增加分辨率的多个阶段中提取更丰富的特征。我们通过实验证明PSG-Net的有效性; PSG-Net显示了点云重建和无监督分类的最先进的性能，并在监督完成中实现了对应于对应方法的可比性。

Three-dimensional geometric data offer an excellent domain for studying representation learning and generative modeling. In this paper, we look at geometric data represented as point clouds. We introduce a deep AutoEncoder (AE) network with state-of-the-art reconstruction quality and generalization ability. The learned representations outperform existing methods on 3D recognition tasks and enable shape editing via simple algebraic manipulations, such as semantic part editing, shape analogies and shape interpolation, as well as shape completion. We perform a thorough study of different generative models including GANs operating on the raw point clouds, significantly improved GANs trained in the fixed latent space of our AEs, and Gaussian Mixture Models (GMMs). To quantitatively evaluate generative models we introduce measures of sample fidelity and diversity based on matchings between sets of point clouds. Interestingly, our evaluation of generalization, fidelity and diversity reveals that GMMs trained in the latent space of our AEs yield the best results overall.

Shape completion, the problem of estimating the complete geometry of objects from partial observations, lies at the core of many vision and robotics applications. In this work, we propose Point Completion Network (PCN), a novel learning-based approach for shape completion. Unlike existing shape completion methods, PCN directly operates on raw point clouds without any structural assumption (e.g. symmetry) or annotation (e.g. semantic class) about the underlying shape. It features a decoder design that enables the generation of fine-grained completions while maintaining a small number of parameters. Our experiments show that PCN produces dense, complete point clouds with realistic structures in the missing regions on inputs with various levels of incompleteness and noise, including cars from LiDAR scans in the KITTI dataset. Code, data and trained models are available at https://wentaoyuan.github.io/pcn.

3D点云的卷积经过广泛研究，但在几何深度学习中却远非完美。卷积的传统智慧在3D点之间表现出特征对应关系，这是对差的独特特征学习的内在限制。在本文中，我们提出了自适应图卷积（AGCONV），以供点云分析的广泛应用。 AGCONV根据其动态学习的功能生成自适应核。与使用固定/各向同性核的解决方案相比，AGCONV提高了点云卷积的灵活性，有效，精确地捕获了不同语义部位的点之间的不同关系。与流行的注意力体重方案不同，AGCONV实现了卷积操作内部的适应性，而不是简单地将不同的权重分配给相邻点。广泛的评估清楚地表明，我们的方法优于各种基准数据集中的点云分类和分割的最新方法。同时，AGCONV可以灵活地采用更多的点云分析方法来提高其性能。为了验证其灵活性和有效性，我们探索了基于AGCONV的完成，DeNoing，Upsmpling，注册和圆圈提取的范式，它们与竞争对手相当甚至优越。我们的代码可在https://github.com/hrzhou2/adaptconv-master上找到。

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.

由于其高质量的对象表示和有效的获取方法，3D点云吸引了越来越多的架构，工程和构建的关注。因此，文献中已经提出了许多点云特征检测方法来自动化一些工作流，例如它们的分类或部分分割。然而，点云自动化系统的性能显着落后于图像对应物。尽管这种故障的一部分源于云云的不规则性，非结构性和混乱，这使得云特征检测的任务比图像一项更具挑战性，但我们认为，图像域缺乏灵感可能是主要的。这种差距的原因。确实，鉴于图像特征检测中卷积神经网络（CNN）的压倒性成功，设计其点云对应物似乎是合理的，但是所提出的方法都不类似于它们。具体而言，即使许多方法概括了点云中的卷积操作，但它们也无法模仿CNN的多种功能检测和汇总操作。因此，我们提出了一个基于图卷积的单元，称为收缩单元，可以垂直和水平堆叠，以设计类似CNN的3D点云提取器。鉴于点云中点之间的自我，局部和全局相关性传达了至关重要的空间几何信息，因此我们在特征提取过程中还利用它们。我们通过为ModelNet-10基准数据集设计功能提取器模型来评估我们的建议，并达到90.64％的分类精度，表明我们的创新想法是有效的。我们的代码可在github.com/albertotamajo/shrinking-unit上获得。

Unlike images which are represented in regular dense grids, 3D point clouds are irregular and unordered, hence applying convolution on them can be difficult. In this paper, we extend the dynamic filter to a new convolution operation, named PointConv. PointConv can be applied on point clouds to build deep convolutional networks. We treat convolution kernels as nonlinear functions of the local coordinates of 3D points comprised of weight and density functions. With respect to a given point, the weight functions are learned with multi-layer perceptron networks and density functions through kernel density estimation. The most important contribution of this work is a novel reformulation proposed for efficiently computing the weight functions, which allowed us to dramatically scale up the network and significantly improve its performance. The learned convolution kernel can be used to compute translation-invariant and permutation-invariant convolution on any point set in the 3D space. Besides, PointConv can also be used as deconvolution operators to propagate features from a subsampled point cloud back to its original resolution. Experiments on ModelNet40, ShapeNet, and ScanNet show that deep convolutional neural networks built on PointConv are able to achieve state-of-the-art on challenging semantic segmentation benchmarks on 3D point clouds. Besides, our experiments converting CIFAR-10 into a point cloud showed that networks built on PointConv can match the performance of convolutional networks in 2D images of a similar structure.

您将如何通过一些错过来修复物理物体？您可能会想象它的原始形状从先前捕获的图像中，首先恢复其整体（全局）但粗大的形状，然后完善其本地细节。我们有动力模仿物理维修程序以解决点云完成。为此，我们提出了一个跨模式的形状转移双转化网络（称为CSDN），这是一种带有全循环参与图像的粗到精细范式，以完成优质的点云完成。 CSDN主要由“ Shape Fusion”和“ Dual-Refinect”模块组成，以应对跨模式挑战。第一个模块将固有的形状特性从单个图像传输，以指导点云缺失区域的几何形状生成，在其中，我们建议iPadain嵌入图像的全局特征和部分点云的完成。第二个模块通过调整生成点的位置来完善粗糙输出，其中本地改进单元通过图卷积利用了小说和输入点之间的几何关系，而全局约束单元则利用输入图像来微调生成的偏移。与大多数现有方法不同，CSDN不仅探讨了图像中的互补信息，而且还可以在整个粗到精细的完成过程中有效利用跨模式数据。实验结果表明，CSDN对十个跨模式基准的竞争对手表现出色。

许多3D表示（例如，点云）是下面连续3D表面的离散样本。该过程不可避免地介绍了底层的3D形状上的采样变化。在学习3D表示中，应忽略应忽略变化，而应捕获基础3D形状的可转换知识。这成为现有代表学习范式的大挑战。本文在点云上自动编码。标准自动编码范例强制编码器捕获这种采样变体，因为解码器必须重建具有采样变化的原始点云。我们介绍了隐式AutoEncoder（IAE），这是一种简单而有效的方法，通过用隐式解码器替换点云解码器来解决这一挑战。隐式解码器输出与相同模型的不同点云采样之间共享的连续表示。在隐式表示下重建可以优先考虑编码器丢弃采样变体，引入更多空间以学习有用的功能。在一个简单的线性AutoEncoder下，理论上理论地证明这一索赔。此外，隐式解码器提供丰富的空间来为不同的任务设计合适的隐式表示。我们展示了IAE对3D对象和3D场景的各种自我监督学习任务的有用性。实验结果表明，IAE在每项任务中始终如一地优于最先进的。

3D重建问题中的一个关键问题是如何训练机器人或机器人以模型3D对象。在实时系统（例如自动驾驶汽车）中导航等许多任务直接取决于此问题。这些系统通常具有有限的计算能力。尽管近年来3D重建系统在3D重建系统中取得了长足的进展，但由于现有方法的高复杂性和计算需求，将它们应用于自动驾驶汽车中的导航系统等实时系统仍然具有挑战性。这项研究解决了以更快（实时）方式重建单视图像中显示的对象的当前问题。为此，开发了一个简单而强大的深度神经框架。提出的框架由两个组件组成：特征提取器模块和3D发电机模块。我们将点云表示为我们的重建模块的输出。将Shapenet数据集用于将方法与计算时间和准确性方面的现有结果进行比较。模拟证明了所提出的方法的出色性能。索引术语现实时间3D重建，单视图重建，监督学习，深神经网络

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.

大规模点云的注释仍然耗时，并且对于许多真实世界任务不可用。点云预训练是用于获得快速适配的可扩展模型的一个潜在解决方案。因此，在本文中，我们调查了一种新的自我监督学习方法，称为混合和解除戒（MD），用于点云预培训。顾名思义，我们探索如何将原始点云与混合点云分开，并利用这一具有挑战的任务作为模型培训的借口优化目标。考虑到原始数据集中的有限培训数据，这远低于普遍的想象，混合过程可以有效地产生更高质量的样本。我们构建一个基线网络以验证我们的直觉，只包含两个模块，编码器和解码器。给定混合点云，首先预先训练编码器以提取语义嵌入。然后，利用实例 - 自适应解码器根据嵌入来解除点云。尽管简单，编码器本质上是能够在训练后捕获点云关键点，并且可以快速适应下游任务，包括预先训练和微调范例的分类和分割。在两个数据集上的广泛实验表明编码器+我们的（MD）显着超越了从头划痕培训的编码器和快速收敛的编码器。在消融研究中，我们进一步研究了每个部件的效果，并讨论了拟议的自我监督学习策略的优势。我们希望这种自我监督的学习尝试点云可以铺平了减少对大规模标记数据的深度学习模型依赖的方式，并在将来节省了大量的注释成本。