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We introduce a novel offset meshing approach that can robustly handle a 3D surface mesh with an arbitrary geometry and topology configurations, while nicely capturing the sharp features on the original input for both inward and outward…

Graphics · Computer Science 2024-12-23 Hongyi Cao , Gang Xu , Renshu Gu , Jinlan Xu , Xiaoyu Zhang , Timon Rabczuk , Yuzhe Luo , Xifeng Gao

In this paper, a Feature-preserving Particle Generation (FPPG) method for arbitrary complex geometry is proposed. Instead of basing on implicit geometries, such as level-set, FPPG employs an explicit geometric representation for the…

Computational Physics · Physics 2025-01-07 Xingyue Yang , Zhenxiang Nie , Yuxin Dai , Zhe Ji

We present a distributed parallel mesh curving method for virtual geometry. The main application is to generate large-scale curved meshes on complex geometry suitable for analysis with unstructured high-order methods. Accordingly, we devise…

Computational Engineering, Finance, and Science · Computer Science 2022-11-17 Eloi Ruiz-Gironés , Xevi Roca

Mesh deformation plays a pivotal role in many 3D vision tasks including dynamic simulations, rendering, and reconstruction. However, defining an efficient discrepancy between predicted and target meshes remains an open problem. A prevalent…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Tung Le , Khai Nguyen , Shanlin Sun , Kun Han , Nhat Ho , Xiaohui Xie

Mesh plays an indispensable role in dense real-time reconstruction essential in robotics. Efforts have been made to maintain flexible data structures for 3D data fusion, yet an efficient incremental framework specifically designed for…

Robotics · Computer Science 2018-03-13 Wei Dong , Jieqi Shi , Weijie Tang , Xin Wang , Hongbin Zha

The problem of polycube construction or deformation is an essential problem in computer graphics. In this paper, we present a robust, simple, efficient and automatic algorithm to deform the meshes of arbitrary shapes into their polycube…

Graphics · Computer Science 2018-07-24 Hui Zhao , Na Lei , Xuan Li , Peng Zeng , Ke Xu , Xianfeng Gu

Geometric rounding of a mesh is the task of approximating its vertex coordinates by floating point numbers while preserving mesh structure. Geometric rounding allows algorithms of computational geometry to interface with numerical…

Computational Geometry · Computer Science 2018-05-10 Victor Milenkovic , Elisha Sacks

The goal of Feature Selection - comprising filter, wrapper, and embedded approaches - is to find the optimal feature subset for designated downstream tasks. Nevertheless, current feature selection methods are limited by: 1) the selection…

Machine Learning · Computer Science 2023-09-18 Meng Xiao , Dongjie Wang , Min Wu , Pengfei Wang , Yuanchun Zhou , Yanjie Fu

We present an efficient, trivially parallelizable algorithm to compute offset surfaces of shapes discretized using a dexel data structure. Our algorithm is based on a two-stage sweeping procedure that is simple to implement and efficient,…

Graphics · Computer Science 2019-04-10 Zhen Chen , Daniele Panozzo , Jeremie Dumas

This work introduces an innovative parallel, fully-distributed finite element framework for growing geometries and its application to metal additive manufacturing. It is well-known that virtual part design and qualification in additive…

Computational Engineering, Finance, and Science · Computer Science 2019-04-30 Eric Neiva , Santiago Badia , Alberto F. Martín , Michele Chiumenti

Feature-preserving mesh denoising has received noticeable attention in visual media, with the aim of recovering high-fidelity, clean mesh shapes from the ones that are contaminated by noise. Existing denoising methods often design smaller…

Graphics · Computer Science 2023-04-04 Weijia Wang , Wei Pan , Chaofan Dai , Richard Dazeley , Lei Wei , Bernard Rolfe , Xuequan Lu

In this paper, we consider the problem of stochastic optimization, where the objective function is in terms of the expectation of a (possibly non-convex) cost function that is parametrized by a random variable. While the convergence speed…

Information Theory · Computer Science 2019-10-23 Naeimeh Omidvar , An Liu , Vincent Lau , Danny H. K. Tsang , Mohammad Reza Pakravan

Surface reconstruction with preservation of geometric features is a challenging computer vision task. Despite significant progress in implicit shape reconstruction, state-of-the-art mesh extraction methods often produce aliased,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Natalia Soboleva , Olga Gorbunova , Maria Ivanova , Evgeny Burnaev , Matthias Nießner , Denis Zorin , Alexey Artemov

Despite recent advances in geometric modeling, 3D mesh modeling still involves a considerable amount of manual labor by experts. In this paper, we introduce Mesh Draping: a neural method for transferring existing mesh structure from one…

Graphics · Computer Science 2021-10-12 Amir Hertz , Or Perel , Raja Giryes , Olga Sorkine-Hornung , Daniel Cohen-Or

An interface preserving moving mesh algorithm in two or higher dimensions is presented. It resolves a moving $(d-1)$-dimensional manifold directly within the $d$-dimensional mesh, which means that the interface is represented by a subset of…

Computational Geometry · Computer Science 2021-12-23 Maria Alkämper , Jim Magiera , Christian Rohde

The compression of real-world scanned 3D human dynamic meshes is an emerging research area, driven by applications such as telepresence, virtual reality, and 3D digital streaming. Unlike synthesized dynamic meshes with fixed topology,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Huong Hoang , Truong Nguyen , Pamela Cosman

The sparse representation of signals defined on Euclidean domains has been successfully applied in signal processing. Bringing the power of sparse representations to non-regular domains is still a challenge, but promising approaches have…

Computational Geometry · Computer Science 2020-11-26 Lizeth J. Fuentes Perez , Luciano A. Romero Calla , Anselmo A. Montenegro , Claudio Mura , Renato Pajarola

We propose a new asynchronous parallel block-descent algorithmic framework for the minimization of the sum of a smooth nonconvex function and a nonsmooth convex one, subject to both convex and nonconvex constraints. The proposed framework…

Optimization and Control · Mathematics 2018-04-02 Loris Cannelli , Francisco Facchinei , Vyacheslav Kungurtsev , Gesualdo Scutari

We propose HAMSI (Hessian Approximated Multiple Subsets Iteration), which is a provably convergent, second order incremental algorithm for solving large-scale partially separable optimization problems. The algorithm is based on a local…

Swept volume computation, the determination of regions occupied by moving objects, is essential in graphics, robotics, and manufacturing. Existing approaches either explicitly track surfaces, suffering from robustness issues under complex…

Computational Geometry · Computer Science 2025-09-12 Pengfei Wang , Yuexin Yang , Shuangmin Chen , Shiqing Xin , Changhe Tu , Wenping Wang
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