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In this study, a new coupled Partial Differential Equation (CPDE) based image denoising model incorporating space-time regularization into non-linear diffusion is proposed. This proposed model is fitted with additive Gaussian noise which…

Numerical Analysis · Mathematics 2019-08-08 Subit K. Jain , Sudeb Majee , Rajendra K. Ray , Ananta K. Majee

Large and rich data is a prerequisite for effective training of deep neural networks. However, the irregularity of point cloud data makes manual annotation time-consuming and laborious. Self-supervised representation learning, which…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Xin Cao , Xinxin Han , Yifan Wang , Mengna Yang , Kang Li

Although convolutional neural networks have achieved remarkable success in analyzing 2D images/videos, it is still non-trivial to apply the well-developed 2D techniques in regular domains to the irregular 3D point cloud data. To bridge this…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Qijian Zhang , Junhui Hou , Yue Qian , Juyong Zhang , Ying He

Predicting the future can significantly improve the safety of intelligent vehicles, which is a key component in autonomous driving. 3D point clouds accurately model 3D information of surrounding environment and are crucial for intelligent…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Fan Lu , Guang Chen , Yinlong Liu , Zhijun Li , Sanqing Qu , Tianpei Zou

Existing point cloud representation learning methods primarily rely on data-driven strategies to extract geometric information from large amounts of scattered data. However, most methods focus solely on the spatial distribution features of…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Zhongyu Chen , Rong Zhao , Xie Han , Xindong Guo , Song Wang , Zherui Qiao

Partial differential equations (PDEs) govern nearly every physical process in science and engineering, yet solving them at scale remains prohibitively expensive. Generative AI has transformed language, vision, and protein science, but…

Machine Learning · Computer Science 2026-04-10 Yilong Dai , Shengyu Chen , Xiaowei Jia , Runlong Yu

Object point cloud classification has drawn great research attention since the release of benchmarking datasets, such as the ModelNet and the ShapeNet. These benchmarks assume point clouds covering complete surfaces of object instances, for…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Zelin Xu , Ke Chen , Kangjun Liu , Changxing Ding , Yaowei Wang , Kui Jia

Learning discriminative shape representation directly on point clouds is still challenging in 3D shape analysis and understanding. Recent studies usually involve three steps: first splitting a point cloud into some local regions, then…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Xin Wen , Zhizhong Han , Xinhai Liu , Yu-Shen Liu

DEtection TRansformer (DETR) started a trend that uses a group of learnable queries for unified visual perception. This work begins by applying this appealing paradigm to LiDAR-based point cloud segmentation and obtains a simple yet…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Zeqi Xiao , Wenwei Zhang , Tai Wang , Chen Change Loy , Dahua Lin , Jiangmiao Pang

Mainstream numerical Partial Differential Equation (PDE) solvers require discretizing the physical domain using a mesh. Mesh movement methods aim to improve the accuracy of the numerical solution by increasing mesh resolution where the…

Partial differential equations (PDEs) play a crucial role in studying a vast number of problems in science and engineering. Numerically solving nonlinear and/or high-dimensional PDEs is often a challenging task. Inspired by the traditional…

Numerical Analysis · Mathematics 2022-01-11 Yihao Hu , Tong Zhao , Shixin Xu , Zhiliang Xu , Lizhen Lin

We present a novel deep learning framework for flow field predictions in irregular domains when the solution is a function of the geometry of either the domain or objects inside the domain. Grid vertices in a computational fluid dynamics…

Machine Learning · Computer Science 2021-09-20 Ali Kashefi , Davis Rempe , Leonidas J. Guibas

In recent years, point cloud representation has become one of the research hotspots in the field of computer vision, and has been widely used in many fields, such as autonomous driving, virtual reality, robotics, etc. Although deep learning…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Huang Zhang , Changshuo Wang , Shengwei Tian , Baoli Lu , Liping Zhang , Xin Ning , Xiao Bai

Point cloud analysis has drawn broader attentions due to its increasing demands in various fields. Despite the impressive performance has been achieved on several databases, researchers neglect the fact that the orientation of those point…

Computer Vision and Pattern Recognition · Computer Science 2019-11-07 Xiao Sun , Zhouhui Lian , Jianguo Xiao

Point cloud completion concerns to predict missing part for incomplete 3D shapes. A common strategy is to generate complete shape according to incomplete input. However, unordered nature of point clouds will degrade generation of…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Xin Wen , Peng Xiang , Zhizhong Han , Yan-Pei Cao , Pengfei Wan , Wen Zheng , Yu-Shen Liu

Point cloud is a critical 3D representation with many emerging applications. Because of the point sparsity and irregularity, high-quality rendering of point clouds is challenging and often requires complex computations to recover the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-26 Yueyu Hu , Ran Gong , Qi Sun , Yao Wang

The irregularity and permutation invariance of point cloud data pose challenges for effective learning. Conventional methods for addressing this issue involve converting raw point clouds to intermediate representations such as 3D voxel…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Athrva Atul Pandhare

We propose a novel approach to self-supervised learning of point cloud representations by differentiable neural rendering. Motivated by the fact that informative point cloud features should be able to encode rich geometry and appearance…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Di Huang , Sida Peng , Tong He , Honghui Yang , Xiaowei Zhou , Wanli Ouyang

In this paper, we propose a new distortion quantification method for point clouds, the multiscale potential energy discrepancy (MPED). Currently, there is a lack of effective distortion quantification for a variety of point cloud perception…

Computer Vision and Pattern Recognition · Computer Science 2022-10-12 Qi Yang , Yujie Zhang , Siheng Chen , Yiling Xu , Jun Sun , Zhan Ma

Recent years have witnessed the growth of point cloud based applications because of its realistic and fine-grained representation of 3D objects and scenes. However, it is a challenging problem to compress sparse, unstructured, and…

Image and Video Processing · Electrical Eng. & Systems 2020-11-10 Jianqiang Wang , Dandan Ding , Zhu Li , Zhan Ma