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Establishing a consistent normal orientation for point clouds is a notoriously difficult problem in geometry processing, requiring attention to both local and global shape characteristics. The normal direction of a point is a function of…

Graphics · Computer Science 2021-05-05 Gal Metzer , Rana Hanocka , Denis Zorin , Raja Giryes , Daniele Panozzo , Daniel Cohen-Or

The ability to cope with out-of-distribution (OOD) corruptions and adversarial attacks is crucial in real-world safety-demanding applications. In this study, we develop a general mechanism to increase neural network robustness based on…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Meir Yossef Levi , Guy Gilboa

Recently, flat-minima optimizers, which seek to find parameters in low-loss neighborhoods, have been shown to improve a neural network's generalization performance over stochastic and adaptive gradient-based optimizers. Two methods have…

Machine Learning · Computer Science 2023-01-30 Jean Kaddour , Linqing Liu , Ricardo Silva , Matt J. Kusner

We present a neural-network-based architecture for 3D point cloud denoising called neural projection denoising (NPD). In our previous work, we proposed a two-stage denoising algorithm, which first estimates reference planes and follows by…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Chaojing Duan , Siheng Chen , Jelena Kovacevic

Recent developments in the field of deep learning for 3D data have demonstrated promising potential for end-to-end learning directly from point clouds. However, many real-world point clouds contain a large class im-balance due to the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-19 David Griffiths , Jan Boehm

The shape of circle is one of fundamental geometric primitives of man-made engineering objects. Thus, extraction of circles from scanned point clouds is a quite important task in 3D geometry data processing. However, existing circle…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Zeyong Wei , Honghua Chen , Hao Tang , Qian Xie , Mingqiang Wei , Jun Wang

There is a growing number of tasks that work directly on point clouds. As the size of the point cloud grows, so do the computational demands of these tasks. A possible solution is to sample the point cloud first. Classic sampling…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Itai Lang , Asaf Manor , Shai Avidan

In this paper, we present a computer-assisted method for facial reconstruction. This method provides an estimation of the facial shape associated with unidentified skeletal remains. Current computer-assisted methods using a statistical…

Machine Learning · Computer Science 2012-02-15 Maxime Berar , Françoise Tilotta , Joan Alexis Glaunès , Yves Rozenholc

Estimating consistently oriented normals for point clouds enables a number of important applications in computer graphics. While local normal estimation is possible with simple techniques like PCA, orienting them to be globally consistent…

Graphics · Computer Science 2024-09-17 Siyou Lin , Zuoqiang Shi , Yebin Liu

Learning implicit representations has been a widely used solution for surface reconstruction from 3D point clouds. The latest methods infer a distance or occupancy field by overfitting a neural network on a single point cloud. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-28 Chao Chen , Yu-Shen Liu , Zhizhong Han

The application of deep learning to 3D point clouds is challenging due to its lack of order. Inspired by the point embeddings of PointNet and the edge embeddings of DGCNNs, we propose three improvements to the task of point cloud analysis.…

Computer Vision and Pattern Recognition · Computer Science 2021-04-09 Chaitanya Kaul , Nick Pears , Suresh Manandhar

Few-shot segmentation aims to train a segmentation model that can fast adapt to a novel task for which only a few annotated images are provided. Most recent models have adopted a prototype-based paradigm for few-shot inference. These…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Li Guo , Haoming Liu , Yuxuan Xia , Chengyu Zhang , Xiaochen Lu

Point clouds upsampling is a challenging issue to generate dense and uniform point clouds from the given sparse input. Most existing methods either take the end-to-end supervised learning based manner, where large amounts of pairs of sparse…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Wenbo Zhao , Xianming Liu , Zhiwei Zhong , Junjun Jiang , Wei Gao , Ge Li , Xiangyang Ji

We present an error-neural-modeling-based strategy for approximating two-dimensional curvature in the level-set method. Our main contribution is a redesigned hybrid solver [Larios-C\'ardenas and Gibou, J. Comput. Phys. (May 2022),…

Numerical Analysis · Mathematics 2022-09-29 Luis Ángel Larios-Cárdenas , Frédéric Gibou

We provide a theoretical explanation for the effectiveness of gradient clipping in training deep neural networks. The key ingredient is a new smoothness condition derived from practical neural network training examples. We observe that…

Optimization and Control · Mathematics 2020-02-12 Jingzhao Zhang , Tianxing He , Suvrit Sra , Ali Jadbabaie

Psychiatric neuroscience is increasingly aware of the need to define psychopathology in terms of abnormal neural computation. The central tool in this endeavour is the fitting of computational models to behavioural data. The most prominent…

Quantitative Methods · Quantitative Biology 2018-03-28 Abraham Nunes , Alexander Rudiuk

We focus on estimating the 3D orientation of the ground plane from a single image. We formulate the problem as an inter-mingled multi-task prediction problem by jointly optimizing for pixel-wise surface normal direction, ground plane…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Yunze Man , Xinshuo Weng , Xi Li , Kris Kitani

In many astronomical problems one often needs to determine the upper and/or lower boundary of a given data set. An automatic and objective approach consists in fitting the data using a generalised least-squares method, where the function to…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 N. Cardiel

We propose a data-driven mean-curvature solver for the level-set method. This work is the natural extension to $\mathbb{R}^3$ of our two-dimensional strategy in [DOI: 10.1007/s10915-022-01952-2][1] and the hybrid inference system of [DOI:…

Machine Learning · Computer Science 2022-12-12 Luis Ángel Larios-Cárdenas , Frédéric Gibou

In this paper, we introduce a shallow (one-hidden-layer) physics-informed neural network for solving partial differential equations on static and evolving surfaces. For the static surface case, with the aid of level set function, the…

Numerical Analysis · Mathematics 2025-03-20 Wei-Fan Hu , Yi-Jun Shih , Te-Sheng Lin , Ming-Chih Lai