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Choosing the right representation for geometry is crucial for making 3D models compatible with existing applications. Focusing on piecewise-smooth man-made shapes, we propose a new representation that is usable in conventional CAD modeling…

图形学 · 计算机科学 2021-02-11 Dmitriy Smirnov , Mikhail Bessmeltsev , Justin Solomon

This survey is written in summer, 2016. The purpose of this survey is to briefly introduce nonlinear dimensionality reduction (NLDR) in data reduction. The first two NLDR were respectively published in Science in 2000 in which they solve…

机器学习 · 计算机科学 2022-03-22 Ce Ju

Deep learning models have seen significant successes in numerous applications, but their inner workings remain elusive. The purpose of this work is to quantify the learning process of deep neural networks through the lens of a novel…

机器学习 · 计算机科学 2023-05-10 Rayna Andreeva , Katharina Limbeck , Bastian Rieck , Rik Sarkar

Effective feature representation is key to the predictive performance of any algorithm. This paper introduces a meta-procedure, called Non-Euclidean Upgrading (NEU), which learns feature maps that are expressive enough to embed the…

机器学习 · 统计学 2021-05-11 Anastasis Kratsios , Cody Hyndman

Deep learning techniques for point clouds have achieved strong performance on a range of 3D vision tasks. However, it is costly to annotate large-scale point sets, making it critical to learn generalizable representations that can transfer…

计算机视觉与模式识别 · 计算机科学 2022-04-18 Chao Huang , Zhangjie Cao , Yunbo Wang , Jianmin Wang , Mingsheng Long

Among 2D convolutional networks on point clouds, point-based approaches consume point clouds of fixed size directly. By analysis of PointNet, a pioneer in introducing deep learning into point sets, we reveal that current point-based methods…

计算机视觉与模式识别 · 计算机科学 2021-08-11 Zhenpeng Chen , Yuan li

Geometric deep learning enables the encoding of physical symmetries in modeling 3D objects. Despite rapid progress in encoding 3D symmetries into Graph Neural Networks (GNNs), a comprehensive evaluation of the expressiveness of these…

机器学习 · 计算机科学 2023-04-12 Weitao Du , Yuanqi Du , Limei Wang , Dieqiao Feng , Guifeng Wang , Shuiwang Ji , Carla Gomes , Zhi-Ming Ma

Unsupervised feature learning often finds low-dimensional embeddings that capture the structure of complex data. For tasks for which prior expert topological knowledge is available, incorporating this into the learned representation may…

机器学习 · 计算机科学 2022-03-08 Robin Vandaele , Bo Kang , Jefrey Lijffijt , Tijl De Bie , Yvan Saeys

We propose an end-to-end deep learning learning model for graph classification and representation learning that is invariant to permutation of the nodes of the input graphs. We address the challenge of learning a fixed size graph…

机器学习 · 计算机科学 2019-05-09 Peter Meltzer , Marcelo Daniel Gutierrez Mallea , Peter J. Bentley

Establishing correspondence between shapes is a fundamental problem in geometry processing, arising in a wide variety of applications. The problem is especially difficult in the setting of non-isometric deformations, as well as in the…

计算机视觉与模式识别 · 计算机科学 2016-05-23 Davide Boscaini , Jonathan Masci , Emanuele Rodolà , Michael M. Bronstein

Learning representations on Grassmann manifolds is popular in quite a few visual recognition tasks. In order to enable deep learning on Grassmann manifolds, this paper proposes a deep network architecture by generalizing the Euclidean…

计算机视觉与模式识别 · 计算机科学 2018-01-30 Zhiwu Huang , Jiqing Wu , Luc Van Gool

Recently, implicit neural representations have gained popularity for learning-based 3D reconstruction. While demonstrating promising results, most implicit approaches are limited to comparably simple geometry of single objects and do not…

计算机视觉与模式识别 · 计算机科学 2020-08-04 Songyou Peng , Michael Niemeyer , Lars Mescheder , Marc Pollefeys , Andreas Geiger

Inferring a meaningful geometric scene representation from a single image is a fundamental problem in computer vision. Approaches based on traditional depth map prediction can only reason about areas that are visible in the image.…

计算机视觉与模式识别 · 计算机科学 2023-04-20 Felix Wimbauer , Nan Yang , Christian Rupprecht , Daniel Cremers

Unsupervised representation learning methods are widely used for gaining insight into high-dimensional, unstructured, or structured data. In some cases, users may have prior topological knowledge about the data, such as a known cluster…

机器学习 · 计算机科学 2023-11-08 Edith Heiter , Robin Vandaele , Tijl De Bie , Yvan Saeys , Jefrey Lijffijt

Reconstructing coherent 3D geometry and appearance from unposed multi-view images is a fundamental yet challenging problem in computer vision. Most existing visual geometry foundation models predict explicit geometry by regressing…

计算机视觉与模式识别 · 计算机科学 2026-05-22 Yuqi Wu , Tianyu Hu , Wenzhao Zheng , Yuanhui Huang , Haowen Sun , Jie Zhou , Jiwen Lu

In this study, we address the challenge of 3D scene structure recovery from monocular depth estimation. While traditional depth estimation methods leverage labeled datasets to directly predict absolute depth, recent advancements advocate…

计算机视觉与模式识别 · 计算机科学 2023-09-19 Chi Zhang , Wei Yin , Gang Yu , Zhibin Wang , Tao Chen , Bin Fu , Joey Tianyi Zhou , Chunhua Shen

We present a novel convolutional neural network architecture for photometric stereo (Woodham, 1980), a problem of recovering 3D object surface normals from multiple images observed under varying illuminations. Despite its long history in…

计算机视觉与模式识别 · 计算机科学 2018-05-30 Tatsunori Taniai , Takanori Maehara

Deep neural networks (DNNs) are widely applied for nowadays 3D surface reconstruction tasks and such methods can be further divided into two categories, which respectively warp templates explicitly by moving vertices or represent 3D…

计算机视觉与模式识别 · 计算机科学 2023-06-06 Xianghui Yang , Guosheng Lin , Zhenghao Chen , Luping Zhou

Semantic segmentation is pixel-wise classification which retains critical spatial information. The "feature map reuse" has been commonly adopted in CNN based approaches to take advantage of feature maps in the early layers for the later…

计算机视觉与模式识别 · 计算机科学 2019-05-23 Mingmin Zhen , Jinglu Wang , Lei Zhou , Tian Fang , Long Quan

We introduce a novel neural network architecture for encoding and synthesis of 3D shapes, particularly their structures. Our key insight is that 3D shapes are effectively characterized by their hierarchical organization of parts, which…

图形学 · 计算机科学 2017-05-16 Jun Li , Kai Xu , Siddhartha Chaudhuri , Ersin Yumer , Hao Zhang , Leonidas Guibas