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We present a new algorithm that produces a well-spaced superset of points conforming to a given input set in any dimension with guaranteed optimal output size. We also provide an approximate Delaunay graph on the output points. Our…

Computational Geometry · Computer Science 2013-04-03 Gary L. Miller , Donald R. Sheehy , Ameya Velingker

Deep neural networks are known to be vulnerable to adversarial examples which are carefully crafted instances to cause the models to make wrong predictions. While adversarial examples for 2D images and CNNs have been extensively studied,…

Cryptography and Security · Computer Science 2019-07-15 Chong Xiang , Charles R. Qi , Bo Li

Change detection and irregular object extraction in 3D point clouds is a challenging task that is of high importance not only for autonomous navigation but also for updating existing digital twin models of various industrial environments.…

Computer Vision and Pattern Recognition · Computer Science 2023-12-18 Nikolaos Stathoulopoulos , Anton Koval , George Nikolakopoulos

Explaining decisions made by deep neural networks is a rapidly advancing research topic. In recent years, several approaches have attempted to provide visual explanations of decisions made by neural networks designed for structured 2D image…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Jawad Tayyub , Muhammad Sarmad , Nicolas Schönborn

Dataset distillation (DD) aims to compress large-scale datasets into compact synthetic sets while preserving training efficacy. However, existing studies mainly focus on image classification, leaving dense prediction tasks such as semantic…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Wenjie Zheng , Haoji Hu , Jiali Lu , Xingze Zou , Jing Wang

Numerous point-cloud understanding techniques focus on whole entities and have succeeded in obtaining satisfactory results and limited sparsity tolerance. However, these methods are generally sensitive to incomplete point clouds that are…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Kaiyue Zhou , Ming Dong , Peiyuan Zhi , Shengjin Wang

We present a numerically robust algorithm for computing the constrained Delaunay tetrahedrization (CDT) of a piecewise-linear complex, which has a 100% success rate on the 4408 valid models in the Thingi10k dataset. We build on the…

Computational Geometry · Computer Science 2023-09-19 Lorenzo Diazzi , Daniele Panozzo , Amir Vaxman , Marco Attene

Motivated by a class of applied problems arising from physical layer based security in a digital communication system, in particular, by a secrecy sum-rate maximization problem, this paper studies a nonsmooth, difference-of-convex (dc)…

Optimization and Control · Mathematics 2015-11-06 Jong-Shi Pang , Meisam Razaviyayn , Alberth Alvarado

Diffusion models are a powerful framework for tackling ill-posed problems, with recent advancements extending their use to point cloud upsampling. Despite their potential, existing diffusion models struggle with inefficiencies as they map…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Zhi-Song Liu , Chenhang He , Lei Li

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…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Ben Fei , Weidong Yang , Wenming Chen , Zhijun Li , Yikang Li , Tao Ma , Xing Hu , Lipeng Ma

Simulation of turbulent flows, especially at the edges of clouds in the atmosphere, is an inherently challenging task. Hitherto, the best possible computational method to perform such experiments is the Direct Numerical Simulation (DNS).…

Fluid Dynamics · Physics 2022-08-19 Moumita Bhowmik , Manmeet Singh , Suryachandra Rao , Souvik Paul

3D point-cloud recognition with PointNet and its variants has received remarkable progress. A missing ingredient, however, is the ability to automatically evaluate point-wise importance w.r.t.\! classification performance, which is usually…

Computer Vision and Pattern Recognition · Computer Science 2019-09-16 Tianhang Zheng , Changyou Chen , Junsong Yuan , Bo Li , Kui Ren

Real-world environment-derived point clouds invariably exhibit noise across varying modalities and intensities. Hence, point cloud denoising (PCD) is essential as a preprocessing step to improve downstream task performance. Deep learning…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Chengwei Zhang , Xueyi Zhang , Mingrui Lao , Tao Jiang , Xinhao Xu , Wenjie Li , Fubo Zhang , Longyong Chen

We introduce a novel framework for multiway point cloud mosaicking (named Wednesday), designed to co-align sets of partially overlapping point clouds -- typically obtained from 3D scanners or moving RGB-D cameras -- into a unified…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Shengze Jin , Iro Armeni , Marc Pollefeys , Daniel Barath

In this paper, we propose difficulty-guided sampling (DGS) to bridge the target gap between the distillation objective and the downstream task, therefore improving the performance of dataset distillation. Deep neural networks achieve…

Computer Vision and Pattern Recognition · Computer Science 2026-01-16 Mingzhuo Li , Guang Li , Linfeng Ye , Jiafeng Mao , Takahiro Ogawa , Konstantinos N. Plataniotis , Miki Haseyama

Point clouds obtained with 3D scanners or by image-based reconstruction techniques are often corrupted with significant amount of noise and outliers. Traditional methods for point cloud denoising largely rely on local surface fitting (e.g.,…

The Boosted Difference of Convex functions Algorithm (BDCA) was recently proposed for minimizing smooth difference of convex (DC) functions. BDCA accelerates the convergence of the classical Difference of Convex functions Algorithm (DCA)…

Optimization and Control · Mathematics 2019-07-24 Francisco J. Aragón Artacho , Phan T. Vuong

We propose a new method for fine registering multiple point clouds simultaneously. The approach is characterized by being dense, therefore point clouds are not reduced to pre-selected features in advance. Furthermore, the approach is robust…

Robotics · Computer Science 2024-06-18 David Skuddis , Norbert Haala

3D point cloud completion, the task of inferring the complete geometric shape from a partial point cloud, has been attracting attention in the community. For acquiring high-fidelity dense point clouds and avoiding uneven distribution,…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Minghua Liu , Lu Sheng , Sheng Yang , Jing Shao , Shi-Min Hu

In this article, recent works on 2D Constrained Delaunay triangulation(CDT) algorithms have been reported. Since the review of CDT algorithms presented by de Floriani(Issues on Machine Vision, Springer Vienna, pg. 95--104, 1989), different…

Computational Geometry · Computer Science 2017-07-20 Pranav Kant Gaur , S. K. Bose