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Designing a point cloud upsampler, which aims to generate a clean and dense point cloud given a sparse point representation, is a fundamental and challenging problem in computer vision. A line of attempts achieves this goal by establishing…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Pingping Cai , Zhenyao Wu , Xinyi Wu , Song Wang

Research on video frame interpolation has made significant progress in recent years. However, existing methods mostly use off-the-shelf metrics to measure the quality of interpolation results with the exception of a few methods that employ…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Qiqi Hou , Abhijay Ghildyal , Feng Liu

Technological development aims to produce generations of increasingly efficient robots able to perform complex tasks. This requires considerable efforts, from the scientific community, to find new algorithms that solve computer vision…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Mirco Planamente , Mohammad Reza Loghmani , Barbara Caputo

In this paper, we deal with the challenging computational issue of interpolating large data sets, with eventually non-homogeneous densities. To such scope, the Radial Basis Function Partition of Unity (RBF-PU) method has been proved to be a…

Numerical Analysis · Mathematics 2016-11-23 Roberto Cavoretto , Alessandra De Rossi , Emma Perracchione

Multiphysics simulations frequently require transferring solution fields between subproblems with non-matching spatial discretizations, typically using interpolation techniques. Standard methods are usually based on measuring the closeness…

Numerical Analysis · Mathematics 2024-03-07 Michele Bucelli , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

Point clouds can be regarded as discrete samples of smooth manifolds and are typically analyzed via the eigenfunctions of the Laplace-Beltrami operator. This paper extends manifold spectral analysis to the fractional domain, enabling…

General Mathematics · Mathematics 2026-05-04 Jiamian Li , Bing-Zhao Li

The quality evaluation of three deep learning-based coding solutions for point cloud geometry, notably ADLPCC, PCC GEO CNNv2, and PCGCv2, is presented. The MPEG G-PCC was used as an anchor. Furthermore, LUT SR, which uses multi-resolution…

Image and Video Processing · Electrical Eng. & Systems 2024-02-09 Joao Prazeres , Rafael Rodrigues , Manuela Pereira , Antonio M. G. Pinheiro

With the increasing deployment of facial image data across a wide range of applications, efficient compression tailored to facial semantics has become critical for both storage and transmission. While recent learning-based face image…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Yimin Zhou , Yichong Xia , Bin Chen , Mingyao Hong , Jiawei Li , Zhi Wang , Yaowei Wang

Recently, collocation based radial basis function (RBF) partition of unity methods (PUM) for solving partial differential equations have been formulated and investigated numerically and theoretically. When combined with stable evaluation…

Numerical Analysis · Mathematics 2017-02-24 Elisabeth Larsson , Victor Shcherbakov , Alfa Heryudono

Point cloud registration (PCR) is crucial for many downstream tasks, such as simultaneous localization and mapping (SLAM) and object tracking. This makes detecting and quantifying registration misalignment, i.e., PCR quality validation, an…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Shipeng Liu , Ziliang Xiong , Khac-Hoang Ngo , Per-Erik Forssén

Kernel-based classification methods, particularly the support vector machine (SVM), are among the most common algorithms for hyperspectral data classification. The Radial Basis function (RBF) kernel has earned great popularity in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-10 Saeid Niazmardi

In this paper, a new localized radial basis function (RBF) method based on partition of unity (PU) is proposed for solving boundary and initial-boundary value problems. The new method is benefited from a direct discretization approach and…

Numerical Analysis · Mathematics 2020-10-28 Davoud Mirzaei

Realistic digital models of plant leaves are crucial to fluid dynamics simulations of droplets for optimising agrochemical spray technologies. The presence and nature of small features (on the order of 100$\mathrm{\mu m}$) such as ridges…

Previous methods for Video Frame Interpolation (VFI) have encountered challenges, notably the manifestation of blur and ghosting effects. These issues can be traced back to two pivotal factors: unavoidable motion errors and misalignment in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-11 Guangyang Wu , Xin Tao , Changlin Li , Wenyi Wang , Xiaohong Liu , Qingqing Zheng

The Reduced Basis Method (RBM) is a rigorous model reduction approach for solving parametrized partial differential equations. It identifies a low-dimensional subspace for approximation of the parametric solution manifold that is embedded…

Numerical Analysis · Mathematics 2018-09-25 Yanlai Chen , Jiahua Jiang , Akil Narayan

Recovering high quality surfaces from noisy point clouds, known as point cloud denoising, is a fundamental yet challenging problem in geometry processing. Most of the existing methods either directly denoise the noisy input or filter raw…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Zheng Liu , Yaowu Zhao , Sijing Zhan , Yuanyuan Liu , Renjie Chen , Ying He

Reconstructing the 3D shape of an object from a single RGB image is a long-standing and highly challenging problem in computer vision. In this paper, we propose a novel method for single-image 3D reconstruction which generates a sparse…

Computer Vision and Pattern Recognition · Computer Science 2023-02-24 Luke Melas-Kyriazi , Christian Rupprecht , Andrea Vedaldi

Point clouds in 3D applications frequently experience quality degradation during processing, e.g., scanning and compression. Reliable point cloud quality assessment (PCQA) is important for developing compression algorithms with good…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Ryosuke Watanabe , Keisuke Nonaka , Eduardo Pavez , Tatsuya Kobayashi , Antonio Ortega

The evolution of 3D visualization techniques has fundamentally transformed how we interact with digital content. At the forefront of this change is point cloud technology, offering an immersive experience that surpasses traditional 2D…

Multimedia · Computer Science 2025-01-10 Xiao Huo , Junhui Hou , Shuai Wan , Fuzheng Yang

Rigid registration of point clouds with partial overlaps is a longstanding problem usually solved in two steps: (a) finding correspondences between the point clouds; (b) filtering these correspondences to keep only the most reliable ones to…

Computer Vision and Pattern Recognition · Computer Science 2021-10-05 Anh-Quan Cao , Gilles Puy , Alexandre Boulch , Renaud Marlet
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