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Surface reconstruction from raw point clouds has been studied for decades in the computer graphics community, which is highly demanded by modeling and rendering applications nowadays. Classic solutions, such as Poisson surface…

Graphics · Computer Science 2023-10-11 Hui Tian , Zheng Qin , Renjiao Yi , Chenyang Zhu , Kai Xu

For a long time, the point cloud completion task has been regarded as a pure generation task. After obtaining the global shape code through the encoder, a complete point cloud is generated using the shape priorly learnt by the networks.…

Robotics · Computer Science 2021-12-06 Jieqi Shi , Lingyun Xu , Liang Heng , Shaojie Shen

Many machine learning applications use latent variable models to explain structure in data, whereby visible variables (= coordinates of the given datapoint) are explained as a probabilistic function of some hidden variables. Finding…

Machine Learning · Computer Science 2016-12-30 Sanjeev Arora , Rong Ge , Tengyu Ma , Andrej Risteski

3D surface reconstruction from point clouds is a key step in areas such as content creation, archaeology, digital cultural heritage, and engineering. Current approaches either try to optimize a non-data-driven surface representation to fit…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Philipp Erler , Lizeth Fuentes , Pedro Hermosilla , Paul Guerrero , Renato Pajarola , Michael Wimmer

In this paper, we study the problem of a batch of linearly correlated image alignment, where the observed images are deformed by some unknown domain transformations, and corrupted by additive Gaussian noise and sparse noise simultaneously.…

Computer Vision and Pattern Recognition · Computer Science 2022-12-14 Sijia Xia , Duo Qiu , Xiongjun Zhang

Tensors naturally model many real world processes which generate multi-aspect data. Such processes appear in many different research disciplines, e.g, chemometrics, computer vision, psychometrics and neuroimaging analysis. Tensor…

Data Structures and Algorithms · Computer Science 2009-09-29 Charalampos E. Tsourakakis

Signals emitted by LiDAR sensors would often be negatively influenced during transmission by rain, fog, dust, atmospheric particles, scattering of light and other influencing factors, causing noises in point cloud images. To address this…

Image and Video Processing · Electrical Eng. & Systems 2020-07-29 Yao Duan , Chuanchuan Yang , Hao Chen , Weizhen Yan , Hongbin Li

While current state-of-the-art generalizable implicit neural shape models rely on the inductive bias of convolutions, it is still not entirely clear how properties emerging from such biases are compatible with the task of 3D reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Amine Ouasfi , Adnane Boukhayma

Recent deep networks that directly handle points in a point set, e.g., PointNet, have been state-of-the-art for supervised learning tasks on point clouds such as classification and segmentation. In this work, a novel end-to-end deep…

Computer Vision and Pattern Recognition · Computer Science 2018-04-04 Yaoqing Yang , Chen Feng , Yiru Shen , Dong Tian

We study the best low-rank Tucker decomposition of symmetric tensors. The motivating application is decomposing higher-order multivariate moments. Moment tensors have special structure and are important to various data science problems. We…

Numerical Analysis · Mathematics 2023-06-13 Ruhui Jin , Joe Kileel , Tamara G. Kolda , Rachel Ward

In intelligent transportation systems, traffic data imputation, estimating the missing value from partially observed data is an inevitable and challenging task. Previous studies have not fully considered traffic data's multidimensionality…

Machine Learning · Statistics 2023-11-01 Wenwu Gong , Zhejun Huang , Lili Yang

Topology matters. Despite the recent success of point cloud processing with geometric deep learning, it remains arduous to capture the complex topologies of point cloud data with a learning model. Given a point cloud dataset containing…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Jiahao Pang , Duanshun Li , Dong Tian

In this paper, we propose a novel image denoising algorithm exploiting features from both spatial as well as transformed domain. We implement intensity-invariance based improved grouping for collaborative support-agnostic sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Muzammil Behzad

Gaussian noise removal is an interesting area in digital image processing not only to improve the visual quality, but for its impact on other post-processing algorithms like image registration or segmentation. Many presented…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Mojtaba Kazemi , Ehsan Mohammadi. P , Parichehr shahidi sadeghi , Mohamad B. Menhaj

Octree-based point cloud representation and compression have been adopted by the MPEG G-PCC standard. However, it only uses handcrafted methods to predict the probability that a leaf node is non-empty, which is then used for entropy coding.…

Image and Video Processing · Electrical Eng. & Systems 2022-09-07 Yixiang Mao , Yueyu Hu , Yao Wang

Point clouds obtained from 3D scans are typically sparse, irregular, and noisy, and required to be consolidated. In this paper, we present the first deep learning based edge-aware technique to facilitate the consolidation of point clouds.…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 Lequan Yu , Xianzhi Li , Chi-Wing Fu , Daniel Cohen-Or , Pheng-Ann Heng

This paper presents an approach for compressing point cloud geometry by leveraging a lightweight super-resolution network. The proposed method involves decomposing a point cloud into a base point cloud and the interpolation patterns for…

Image and Video Processing · Electrical Eng. & Systems 2023-11-03 Wei Zhang , Dingquan Li , Ge Li , Wen Gao

Tensor rank and low-rank tensor decompositions have many applications in learning and complexity theory. Most known algorithms use unfoldings of tensors and can only handle rank up to $n^{\lfloor p/2 \rfloor}$ for a $p$-th order tensor in…

Data Structures and Algorithms · Computer Science 2015-04-23 Rong Ge , Tengyu Ma

Point clouds produced by 3D scanning are often sparse, non-uniform, and noisy. Recent upsampling approaches aim to generate a dense point set, while achieving both distribution uniformity and proximity-to-surface, and possibly amending…

Computer Vision and Pattern Recognition · Computer Science 2021-06-10 Ruihui Li , Xianzhi Li , Pheng-Ann Heng , Chi-Wing Fu

Tensor train (TT) decomposition, a powerful tool for analyzing multidimensional data, exhibits superior performance in many machine learning tasks. However, existing methods for TT decomposition either suffer from noise overfitting, or…

Signal Processing · Electrical Eng. & Systems 2023-06-27 Le Xu , Lei Cheng , Ngai Wong , Yik-Chung Wu
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