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Simulating the deformation of fractured media requires the coupling of different models for the deformation of fractures and the formation surrounding them. We consider a cell-centered finite-volume approach, termed the multipoint stress…

Numerical Analysis · Mathematics 2018-03-21 Eren Ucar , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

Approximating differential operators defined on two-dimensional surfaces is an important problem that arises in many areas of science and engineering. Over the past ten years, localized meshfree methods based on generalized moving least…

Numerical Analysis · Mathematics 2023-09-11 Andrew M. Jones , Peter A. Bosler , Paul A. Kuberry , Grady B. Wright a

3D dynamic point clouds provide a discrete representation of real-world objects or scenes in motion, which have been widely applied in immersive telepresence, autonomous driving, surveillance, etc. However, point clouds acquired from…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Qianjiang Hu , Wei Hu

We describe a method for discretizing planar C2-regular domains immersed in non-conforming triangulations. The method consists in constructing mappings from triangles in a background mesh to curvilinear ones that conform exactly to the…

Numerical Analysis · Mathematics 2012-01-25 Ramsharan Rangarajan , Adrian J. Lew

In this paper, we introduce Point2Mesh, a technique for reconstructing a surface mesh from an input point cloud. Instead of explicitly specifying a prior that encodes the expected shape properties, the prior is defined automatically using…

Graphics · Computer Science 2020-06-16 Rana Hanocka , Gal Metzer , Raja Giryes , Daniel Cohen-Or

The remarkable breakthroughs in point cloud representation learning have boosted their usage in real-world applications such as self-driving cars and virtual reality. However, these applications usually have an urgent requirement for not…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Linfeng Zhang , Runpei Dong , Hung-Shuo Tai , Kaisheng Ma

Fusing LiDAR and camera information is essential for achieving accurate and reliable 3D object detection in autonomous driving systems. This is challenging due to the difficulty of combining multi-granularity geometric and semantic features…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Yang Jiao , Zequn Jie , Shaoxiang Chen , Jingjing Chen , Lin Ma , Yu-Gang Jiang

Point cloud sequences are commonly used to accurately detect 3D objects in applications such as autonomous driving. Current top-performing multi-frame detectors mostly follow a Detect-and-Fuse framework, which extracts features from each…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Chenhang He , Ruihuang Li , Yabin Zhang , Shuai Li , Lei Zhang

Advancements in 3D curve skeletonization are accelerating progress across a wide range of applications. However, developing robust skeletonization algorithms that capture intricate object details remains challenging. Skeletonization via…

Graphics · Computer Science 2026-05-26 Jai Bardhan , Ramya Hebbalaguppe , Aravind Udupa

Current methodologies in point cloud analysis predominantly explore 3D geometries, often achieved through the introduction of intricate learnable geometric extractors in the encoder or by deepening networks with repeated blocks. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-21 Lipeng Gu , Xuefeng Yan , Liangliang Nan , Dingkun Zhu , Honghua Chen , Weiming Wang , Mingqiang Wei

In this paper we present a novel pressure-based semi-implicit finite volume solver for the equations of compressible ideal, viscous and resistive magnetohydrodynamics (MHD). The new method is conservative for mass, momentum and total energy…

Numerical Analysis · Mathematics 2018-12-26 Michael Dumbser , Dinshaw S. Balsara , Maurizio Tavelli , Francesco Fambri

The Chamfer Distance (CD) is a cornerstone objective function for point cloud completion, yet its inherent symmetric weighting mechanism limits the quality of the generated results. By penalizing local detail deviations and global coverage…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Jie Li , Shengwei Tian , Long Yu , Xin Ning

We present a new meshing algorithm called guided and augmented meshing, GAMesh, which uses a mesh prior to generate a surface for the output points of a point network. By projecting the output points onto this prior and simplifying the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-21 Nitin Agarwal , M Gopi

We present Deep Mesh Denoising Network (DMD-Net), an end-to-end deep learning framework, for solving the mesh denoising problem. DMD-Net consists of a Graph Convolutional Neural Network in which aggregation is performed in both the primal…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Aalok Gangopadhyay , Shashikant Verma , Shanmuganathan Raman

Registering accurately point clouds from a cheap low-resolution sensor is a challenging task. Existing rigid registration methods failed to use the physical 3D uncertainty distribution of each point from a real sensor in the dynamic…

Computer Vision and Pattern Recognition · Computer Science 2018-08-03 Can Pu , Nanbo Li , Radim Tylecek , Robert B Fisher

In this paper, we propose a novel unstructured mesh control volume method to deal with the space fractional derivative on arbitrarily shaped convex domains, which to the best of our knowledge is a new contribution to the literature.…

Numerical Analysis · Mathematics 2024-12-20 Libo Feng , Fawang Liu , Ian Turner

This report summarizes the major progresses to develop the dynamic core for next-generation atmospherical model for both numerical weather prediction and climate simulation. The numerical framework is based on a general formulation,…

Computational Physics · Physics 2020-04-14 Xingliang Li , Chungang Chen , Xueshun Shen , Feng Xiao

Text-to-image generation models have achieved remarkable capabilities in synthesizing images, but often struggle to provide fine-grained control over the output. Existing guidance approaches, such as segmentation maps and depth maps,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Sangmin Jung , Utkarsh Nath , Yezhou Yang , Giulia Pedrielli , Joydeep Biswas , Amy Zhang , Hassan Ghasemzadeh , Pavan Turaga

A diffusion interface two-phase magnetohydrodynamic model has been used for matched densities in our previous work [1,2], which may limit the applications of the model. In this work, we derive a thermodynamically consistent diffuse…

Numerical Analysis · Mathematics 2024-03-13 Ke Zhang

A moving mesh discontinuous Galerkin method is presented for the numerical solution of hyperbolic conservation laws. The method is a combination of the discontinuous Galerkin method and the mesh movement strategy which is based on the…

Numerical Analysis · Mathematics 2020-04-20 Dongmi Luo , Weizhang Huang , Jianxian Qiu