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Geometric Deep Learning has recently made striking progress with the advent of continuous Deep Implicit Fields. They allow for detailed modeling of watertight surfaces of arbitrary topology while not relying on a 3D Euclidean grid,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Edoardo Remelli , Artem Lukoianov , Stephan R. Richter , Benoît Guillard , Timur Bagautdinov , Pierre Baque , Pascal Fua

DeepAngle is a machine learning-based method to determine the contact angles of different phases in the tomography images of porous materials. Measurement of angles in 3--D needs to be done within the surface perpendicular to the angle…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Arash Rabbani , Chenhao Sun , Masoud Babaei , Vahid J. Niasar , Ryan T. Armstrong , Peyman Mostaghimi

The generation of production-ready quad-dominant meshes is a cornerstone of modern 3D content creation. Generating anisotropic quad-dominant meshes from point clouds is challenging, as existing methods are typically limited to producing…

Deep learning methods have proven to outperform traditional computer vision methods in various areas of image processing. However, the application of deep learning in industrial surface defect detection systems is challenging due to the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-24 Dominik Martin , Simon Heinzel , Johannes Kunze von Bischhoffshausen , Niklas Kühl

This paper describes a novel approach for generating accurate floor plans and 3D models of building interiors using scanned mesh data. Unlike previous methods, which begin with a high resolution point cloud from a laser range-finder, our…

Graphics · Computer Science 2023-12-29 Ritesh Sharma , Eric Bier , Lester Nelson , Mahabir Bhandari , Niraj Kunwar

In the present work we introduce a novel refinement algorithm for two-dimensional elliptic partial differential equations discretized with Virtual Element Method (VEM). The algorithm improves the numerical solution accuracy and the mesh…

Numerical Analysis · Mathematics 2024-03-18 Stefano Berrone , Fabio Vicini

Deep learning (DL) stereo matching methods gained great attention in remote sensing satellite datasets. However, most of these existing studies conclude assessments based only on a few/single stereo images lacking a systematic evaluation on…

Computer Vision and Pattern Recognition · Computer Science 2022-10-26 Hessah Albanwan , Rongjun Qin

Reconstructing 3D point clouds into triangle meshes is a key problem in computational geometry and surface reconstruction. Point cloud triangulation solves this problem by providing edge information to the input points. Since no vertex…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Huan Lei , Ruitao Leng , Liang Zheng , Hongdong Li

In this paper, we examine a number of additive and multiplicative multilevel iterative methods and preconditioners in the setting of two-dimensional local mesh refinement. While standard multilevel methods are effective for uniform…

Numerical Analysis · Mathematics 2010-01-12 Burak Aksoylu , Stephen Bond , Michael Holst

This paper tackles the challenging problem of constrained hexahedral meshing. An algorithm is introduced to build combinatorial hexahedral meshes whose boundary facets exactly match a given quadrangulation of the topological sphere. This…

Computational Geometry · Computer Science 2019-07-18 Kilian Verhetsel , Jeanne Pellerin , Jean-François Remacle

Innovation in the physical layer of communication systems has traditionally been achieved by breaking down the transceivers into sets of processing blocks, each optimized independently based on mathematical models. Conversely, deep learning…

Information Theory · Computer Science 2022-05-04 Mathieu Goutay

Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for meshes. We describe the mathematical framework and a…

Computational Geometry · Computer Science 2013-07-09 Dimitris Vartziotis , Benjamin Himpel

Deep learning-based medical image-to-mesh reconstruction has rapidly evolved, enabling the transformation of medical imaging data into three-dimensional mesh models that are critical in computational medicine and in silico trials for…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Fengming Lin , Arezoo Zakeri , Yidan Xue , Michael MacRaild , Haoran Dou , Zherui Zhou , Ziwei Zou , Ali Sarrami-Foroushani , Jinming Duan , Alejandro F. Frangi

HEXME consists of tetrahedral meshes with tagged features, and of a workflow to generate them. The main purpose of HEXME meshes is to enable consistent and fair evaluation of hexahedral meshing algorithms and related techniques. The…

Computational Geometry · Computer Science 2021-11-22 Pierre-Alexandre Beaufort , Maxence Reberol , Heng Liu , Franck Ledoux , David Bommes

We show that any polyhedron forming a topological ball with an even number of quadrilateral sides can be partitioned into O(n) topological cubes, meeting face to face. The result generalizes to non-simply-connected polyhedra satisfying an…

Computational Geometry · Computer Science 2010-01-21 David Eppstein

Traditional approaches based on finite element analyses have been successfully used to predict the macro-scale behavior of heterogeneous materials (composites, multicomponent alloys, and polycrystals) widely used in industrial applications.…

Materials Science · Physics 2022-11-24 Rajat Arora

The integration of deep learning technologies in medical imaging aims to enhance the efficiency and accuracy of cancer diagnosis, particularly for pancreatic and breast cancers, which present significant diagnostic challenges due to their…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Minhee Jang , Juheon Son , Thanaporn Viriyasaranon , Junho Kim , Jang-Hwan Choi

A challenge in isogeometric analysis is constructing analysis-suitable volumetric meshes which can accurately represent the geometry of a given physical domain. In this paper, we propose a method to derive a spline-based representation of a…

Graphics · Computer Science 2017-03-22 Chiu Ling Chan , Cosmin Anitescu , Timon Rabczuk

Deep Metric Learning (DML) is helpful in computer vision tasks. In this paper, we firstly introduce DML into image co-segmentation. We propose a novel Triplet loss for Image Segmentation, called IS-Triplet loss for short, and combine it…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Zhengwen Li , Xiabi Liu

In this paper, we propose a multi-scale deep feature learning method for high-resolution satellite image classification. Specifically, we firstly warp the original satellite image into multiple different scales. The images in each scale are…

Computer Vision and Pattern Recognition · Computer Science 2016-11-14 Qingshan Liu , Renlong Hang , Huihui Song , Zhi Li