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We introduce a geometric stencil selection algorithm for Laplacian in 3D that significantly improves octant-based selection considered earlier. The goal of the algorithm is to choose a small subset from a set of irregular points surrounding…

Numerical Analysis · Mathematics 2025-08-26 Oleg Davydov , Dang Thi Oanh , Ngo Manh Tuong

The intricacy of 3D surfaces often results cutting-edge point cloud denoising (PCD) models in surface degradation including remnant noise, wrongly-removed geometric details. Although using multi-scale patches to encode the geometry of a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Anyi Huang , Qian Xie , Zhoutao Wang , Dening Lu , Mingqiang Wei , Jun Wang

Establishing accurate morphological measurements of galaxies in a reasonable amount of time for future big-data surveys such as EUCLID, the Large Synoptic Survey Telescope or the Wide Field Infrared Survey Telescope is a challenge. Because…

Instrumentation and Methods for Astrophysics · Physics 2017-06-14 D. Tuccillo , M. Huertas-Company , E. Decenciere , S. Velasco-Forero

Applications in virtual and augmented reality create a demand for rapid creation and easy access to large sets of 3D models. An effective way to address this demand is to edit or deform existing 3D models based on a reference, e.g., a 2D…

Computer Vision and Pattern Recognition · Computer Science 2019-03-11 Weiyue Wang , Duygu Ceylan , Radomir Mech , Ulrich Neumann

Large-scale point cloud generated from 3D sensors is more accurate than its image-based counterpart. However, it is seldom used in visual pose estimation due to the difficulty in obtaining 2D-3D image to point cloud correspondences. In this…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Mengdan Feng , Sixing Hu , Marcelo Ang , Gim Hee Lee

Engineering simulations for analysis of structural and fluid systems require information of contacts between various 3-D surfaces of the geometry to accurately model the physics between them. In machine learning applications, 3-D surfaces…

Machine Learning · Computer Science 2021-03-23 Rishikesh Ranade , Jay Pathak

Mathematical morphology is a theory and technique to collect features like geometric and topological structures in digital images. Given a target image, determining suitable morphological operations and structuring elements is a cumbersome…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Yucong Shen , Xin Zhong , Frank Y. Shih

Deep learning based 3D shape generation methods generally utilize latent features extracted from color images to encode the semantics of objects and guide the shape generation process. These color image semantics only implicitly encode 3D…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Rakesh Shrestha , Zhiwen Fan , Qingkun Su , Zuozhuo Dai , Siyu Zhu , Ping Tan

Generative models that produce point clouds have emerged as a powerful tool to represent 3D surfaces, and the best current ones rely on learning an ensemble of parametric representations. Unfortunately, they offer no control over the…

Computer Vision and Pattern Recognition · Computer Science 2019-11-27 Jan Bednarik , Shaifali Parashar , Erhan Gundogdu , Mathieu Salzmann , Pascal Fua

Networks are ubiquitous structure that describes complex relationships between different entities in the real world. As a critical component of prediction task over nodes in networks, learning the feature representation of nodes has become…

Machine Learning · Computer Science 2018-09-10 Hansheng Xue , Jiajie Peng , Xuequn Shang

Deep convolutional neural networks (CNNs) have shown outstanding performance in the task of semantically segmenting images. Applying the same methods on 3D data still poses challenges due to the heavy memory requirements and the lack of…

Computer Vision and Pattern Recognition · Computer Science 2021-08-21 Radu Alexandru Rosu , Peer Schütt , Jan Quenzel , Sven Behnke

Intrinsic graph convolution operators with differentiable kernel functions play a crucial role in analyzing 3D shape meshes. In this paper, we present a fast and efficient intrinsic mesh convolution operator that does not rely on the…

Computer Vision and Pattern Recognition · Computer Science 2019-11-15 Shunwang Gong , Lei Chen , Michael Bronstein , Stefanos Zafeiriou

Pan-sharpening, as one of the most commonly used techniques in remote sensing systems, aims to inject spatial details from panchromatic images into multispectral images (MS) to obtain high-resolution multispectral images. Since deep…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Maoxun Yuan , Tianyi Zhao , Bo Li , Xingxing Wei

The generation of triangle meshes from point clouds, i.e. meshing, is a core task in computer graphics and computer vision. Traditional techniques directly construct a surface mesh using local decision heuristics, while some recent methods…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Mathias Vetsch , Sandro Lombardi , Marc Pollefeys , Martin R. Oswald

While much of the work in the design of convolutional networks over the last five years has revolved around the empirical investigation of the importance of depth, filter sizes, and number of feature channels, recent studies have shown that…

Machine Learning · Computer Science 2017-12-08 Karim Ahmed , Lorenzo Torresani

Brushing is a common interaction technique in 2D scatterplots, allowing users to select clustered points within a continuous, enclosed region for further analysis or filtering. However, applying conventional brushing to 2D representations…

Human-Computer Interaction · Computer Science 2025-11-18 Hyeon Jeon , Michaël Aupetit , Soohyun Lee , Kwon Ko , Youngtaek Kim , Ghulam Jilani Quadri , Jinwook Seo

Hierarchical clustering recursively partitions data at an increasingly finer granularity. In real-world applications, multi-view data have become increasingly important. This raises a less investigated problem, i.e., multi-view hierarchical…

Machine Learning · Computer Science 2022-05-06 Fangfei Lin , Bing Bai , Kun Bai , Yazhou Ren , Peng Zhao , Zenglin Xu

Topology optimization has emerged as a popular approach to refine a component's design and increase its performance. However, current state-of-the-art topology optimization frameworks are compute-intensive, mainly due to multiple finite…

Machine Learning · Computer Science 2022-10-27 Jaydeep Rade , Aditya Balu , Ethan Herron , Jay Pathak , Rishikesh Ranade , Soumik Sarkar , Adarsh Krishnamurthy

Depth completion endeavors to reconstruct a dense depth map from sparse depth measurements, leveraging the information provided by a corresponding color image. Existing approaches mostly hinge on single-scale propagation strategies that…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Kun Wang , Zhiqiang Yan , Junkai Fan , Jun Li , Jian Yang

Recently, deep generative adversarial networks for image generation have advanced rapidly; yet, only a small amount of research has focused on generative models for irregular structures, particularly meshes. Nonetheless, mesh generation and…

Graphics · Computer Science 2020-08-20 Amir Hertz , Rana Hanocka , Raja Giryes , Daniel Cohen-Or
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