Figure 1. Shapes from the ShapeNet [8] database, fit to a structured implicit template, and arranged by template parameters using t-SNE [52]. Similar shape classes, such as airplanes, cars, and chairs, naturally cluster by template parameters. 1

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.

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。

Pixel-aligned Implicit function (PIFu): We present pixel-aligned implicit function (PIFu), which allows recovery of high-resolution 3D textured surfaces of clothed humans from a single input image (top row). Our approach can digitize intricate variations in clothing, such as wrinkled skirts and high-heels, including complex hairstyles. The shape and textures can be fully recovered including largely unseen regions such as the back of the subject. PIFu can also be naturally extended to multi-view input images (bottom row).

where the highest resolution is required, using facial performance capture as a case in point.

Intelligent mesh generation (IMG) refers to a technique to generate mesh by machine learning, which is a relatively new and promising research field. Within its short life span, IMG has greatly expanded the generalizability and practicality of mesh generation techniques and brought many breakthroughs and potential possibilities for mesh generation. However, there is a lack of surveys focusing on IMG methods covering recent works. In this paper, we are committed to a systematic and comprehensive survey describing the contemporary IMG landscape. Focusing on 110 preliminary IMG methods, we conducted an in-depth analysis and evaluation from multiple perspectives, including the core technique and application scope of the algorithm, agent learning goals, data types, targeting challenges, advantages and limitations. With the aim of literature collection and classification based on content extraction, we propose three different taxonomies from three views of key technique, output mesh unit element, and applicable input data types. Finally, we highlight some promising future research directions and challenges in IMG. To maximize the convenience of readers, a project page of IMG is provided at \url{https://github.com/xzb030/IMG_Survey}.

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.

在视觉计算中，3D几何形状以许多不同的形式表示，包括网格，点云，体素电网，水平集和深度图像。每个表示都适用于不同的任务，从而使一个表示形式转换为另一个表示（前向地图）是一个重要且常见的问题。我们提出了全向距离字段（ODF），这是一种新的3D形状表示形式，该表示通过将深度从任何观看方向从任何3D位置存储到对象的表面来编码几何形状。由于射线是ODF的基本单元，因此可以轻松地从通用的3D表示和点云等常见的3D表示。与限制代表封闭表面的水平集方法不同，ODF是未签名的，因此可以对开放表面进行建模（例如服装）。我们证明，尽管在遮挡边界处存在固有的不连续性，但可以通过神经网络（Neururodf）有效地学习ODF。我们还引入了有效的前向映射算法，以转换odf to＆从常见的3D表示。具体而言，我们引入了一种有效的跳跃立方体算法，用于从ODF生成网格。实验表明，神经模型可以通过过度拟合单个对象学会学会捕获高质量的形状，并学会概括对共同的形状类别。

从单视图重建3D形状是一个长期的研究问题。在本文中，我们展示了深度隐式地面网络，其可以通过预测底层符号距离场来从2D图像产生高质量的细节的3D网格。除了利用全局图像特征之外，禁止2D图像上的每个3D点的投影位置，并从图像特征映射中提取本地特征。结合全球和局部特征显着提高了符合距离场预测的准确性，特别是对于富含细节的区域。据我们所知，伪装是一种不断捕获从单视图图像中存在于3D形状中存在的孔和薄结构等细节的方法。 Disn在从合成和真实图像重建的各种形状类别上实现最先进的单视性重建性能。代码可在https://github.com/xharlie/disn提供补充可以在https://xharlie.github.io/images/neUrips_2019_Supp.pdf中找到补充

综合照片 - 现实图像和视频是计算机图形的核心，并且是几十年的研究焦点。传统上，使用渲染算法（如光栅化或射线跟踪）生成场景的合成图像，其将几何形状和材料属性的表示为输入。统称，这些输入定义了实际场景和呈现的内容，并且被称为场景表示（其中场景由一个或多个对象组成）。示例场景表示是具有附带纹理的三角形网格（例如，由艺术家创建），点云（例如，来自深度传感器），体积网格（例如，来自CT扫描）或隐式曲面函数（例如，截短的符号距离）字段）。使用可分辨率渲染损耗的观察结果的这种场景表示的重建被称为逆图形或反向渲染。神经渲染密切相关，并将思想与经典计算机图形和机器学习中的思想相结合，以创建用于合成来自真实观察图像的图像的算法。神经渲染是朝向合成照片现实图像和视频内容的目标的跨越。近年来，我们通过数百个出版物显示了这一领域的巨大进展，这些出版物显示了将被动组件注入渲染管道的不同方式。这种最先进的神经渲染进步的报告侧重于将经典渲染原则与学习的3D场景表示结合的方法，通常现在被称为神经场景表示。这些方法的一个关键优势在于它们是通过设计的3D-一致，使诸如新颖的视点合成捕获场景的应用。除了处理静态场景的方法外，我们还涵盖了用于建模非刚性变形对象的神经场景表示...

Our method completes a partial 3D scan using a 3D Encoder-Predictor network that leverages semantic features from a 3D classification network. The predictions are correlated with a shape database, which we use in a multi-resolution 3D shape synthesis step. We obtain completed high-resolution meshes that are inferred from partial, low-resolution input scans.

Learning-based 3D reconstruction methods have shown impressive results. However, most methods require 3D supervision which is often hard to obtain for real-world datasets. Recently, several works have proposed differentiable rendering techniques to train reconstruction models from RGB images. Unfortunately, these approaches are currently restricted to voxel-and mesh-based representations, suffering from discretization or low resolution. In this work, we propose a differentiable rendering formulation for implicit shape and texture representations. Implicit representations have recently gained popularity as they represent shape and texture continuously. Our key insight is that depth gradients can be derived analytically using the concept of implicit differentiation. This allows us to learn implicit shape and texture representations directly from RGB images. We experimentally show that our singleview reconstructions rival those learned with full 3D supervision. Moreover, we find that our method can be used for multi-view 3D reconstruction, directly resulting in watertight meshes.

近年来，通过编码签名距离的神经网络的隐式表面表示已获得流行，并获得了最先进的结果。但是，与传统的形状表示（例如多边形网格）相反，隐式表示不容易编辑，并且试图解决此问题的现有作品非常有限。在这项工作中，我们提出了第一种通过神经网络表达的签名距离函数有效互动编辑的方法，从而可以自由编辑。受到网格雕刻软件的启发，我们使用了一个基于刷子的框架，该框架是直观的，将来可以由雕塑家和数字艺术家使用。为了定位所需的表面变形，我们通过使用其副本来调节网络来采样先前表达的表面。我们引入了一个新型框架，用于模拟雕刻风格的表面编辑，并结合交互式表面采样和网络重量的有效适应。我们在各种不同的3D对象和许多不同的编辑下进行定性和定量评估我们的方法。报告的结果清楚地表明，我们的方法在实现所需的编辑方面产生了很高的精度，同时保留了交互区域之外的几何形状。

本文探讨了使用深神经网络从多个拼字图中重建的当前对象重建的最新。它提出了两种算法来从单个图像中提取多个视图。本文提出了一个基于像素对齐的隐式函数（PIFU）的系统，并制定了一个高级采样策略来生成签名的距离样品。它还将这种方法与从多个视图中的深度图回归进行了比较。此外，本文使用了一个新颖的数据集来进行赛车游戏Assetto Corsa的车辆重建，该数据集的质量比常用的Shapenet数据集更高。受过训练的神经网络很好地概括了现实世界的输入，并创建了合理且详细的重建。

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).

The objective of this paper is to learn dense 3D shape correspondence for topology-varying generic objects in an unsupervised manner. Conventional implicit functions estimate the occupancy of a 3D point given a shape latent code. Instead, our novel implicit function produces a probabilistic embedding to represent each 3D point in a part embedding space. Assuming the corresponding points are similar in the embedding space, we implement dense correspondence through an inverse function mapping from the part embedding vector to a corresponded 3D point. Both functions are jointly learned with several effective and uncertainty-aware loss functions to realize our assumption, together with the encoder generating the shape latent code. During inference, if a user selects an arbitrary point on the source shape, our algorithm can automatically generate a confidence score indicating whether there is a correspondence on the target shape, as well as the corresponding semantic point if there is one. Such a mechanism inherently benefits man-made objects with different part constitutions. The effectiveness of our approach is demonstrated through unsupervised 3D semantic correspondence and shape segmentation.

近年来，由于其表达力和灵活性，神经隐式表示在3D重建中获得了普及。然而，神经隐式表示的隐式性质导致缓慢的推理时间并且需要仔细初始化。在本文中，我们重新审视经典且无处不在的点云表示，并使用泊松表面重建（PSR）的可分辨率配方引入可分化的点对网格层，其允许给予定向的GPU加速的指示灯的快速解决方案点云。可微分的PSR层允许我们通过隐式指示器字段有效地和分散地桥接与3D网格的显式3D点表示，从而实现诸如倒角距离的表面重建度量的端到端优化。因此，点和网格之间的这种二元性允许我们以面向点云表示形状，这是显式，轻量级和富有表现力的。与神经内隐式表示相比，我们的形状 - 点（SAP）模型更具可解释，轻量级，并通过一个级别加速推理时间。与其他显式表示相比，如点，补丁和网格，SA​​P产生拓扑无关的水密歧管表面。我们展示了SAP对无知点云和基于学习的重建的表面重建任务的有效性。

Implicit fields have been very effective to represent and learn 3D shapes accurately. Signed distance fields and occupancy fields are the preferred representations, both with well-studied properties, despite their restriction to closed surfaces. Several other variations and training principles have been proposed with the goal to represent all classes of shapes. In this paper, we develop a novel and yet fundamental representation by considering the unit vector field defined on 3D space: at each point in $\mathbb{R}^3$ the vector points to the closest point on the surface. We theoretically demonstrate that this vector field can be easily transformed to surface density by applying the vector field divergence. Unlike other standard representations, it directly encodes an important physical property of the surface, which is the surface normal. We further show the advantages of our vector field representation, specifically in learning general (open, closed, or multi-layered) surfaces as well as piecewise planar surfaces. We compare our method on several datasets including ShapeNet where the proposed new neural implicit field shows superior accuracy in representing any type of shape, outperforming other standard methods. The code will be released at https://github.com/edomel/ImplicitVF