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We describe an adaptive version of a method for generating valid naturally curved quadrilateral meshes. The method uses a guiding field, derived from the concept of a cross field, to create block decompositions of multiply connected two…

Numerical Analysis · Mathematics 2020-02-18 Julian Marcon , David A. Kopriva , Spencer J. Sherwin , Joaquim Peiró

A key step in understanding the spatial organization of cells and tissues is the ability to construct generative models that accurately reflect that organization. In this paper, we focus on building generative models of electron microscope…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Ligong Han , Robert F. Murphy , Deva Ramanan

We propose DiMeR, a novel geometry-texture disentangled feed-forward model with 3D supervision for sparse-view mesh reconstruction. Existing methods confront two persistent obstacles: (i) textures can conceal geometric errors, i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Lutao Jiang , Jiantao Lin , Kanghao Chen , Wenhang Ge , Xin Yang , Yifan Jiang , Yuanhuiyi Lyu , Xu Zheng , Yinchuan Li , Yingcong Chen

This chapter aims at introducing and discussing the techniques for the generation of 3D Finite Element Meshes of human organs. The field of computer assisted surgery is more specifically addressed.

Medical Physics · Physics 2009-11-20 Claudio Lobos , Yohan Payan , Nancy Hitschfeld

One of the major issues in the computational mechanics is to take into account the geometrical complexity. To overcome this difficulty and to avoid the expensive mesh generation, geometrically unfitted methods, i.e. the numerical methods…

Numerical Analysis · Mathematics 2021-10-12 Stephane Cotin , Michel Duprez , Vanessa Lleras , Alexei Lozinski , Killian Vuillemot

We present MeshTailor, the first mesh-native generative framework for synthesizing edge-aligned seams on 3D surfaces. Unlike prior optimization-based or extrinsic learning-based methods, MeshTailor operates directly on the mesh graph,…

Graphics · Computer Science 2026-05-21 Xueqi Ma , Xingguang Yan , Congyue Zhang , Hui Huang

Learning to generate textures for a novel 3D mesh given a collection of 3D meshes and real-world 2D images is an important problem with applications in various domains such as 3D simulation, augmented and virtual reality, gaming,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-08 Dharma KC , Clayton T. Morrison

Subsurface geometries are often poorly constrained, yet they exert first-order control on key geophysical processes, including subduction zone thermal structure and earthquake rupture dynamics. Quantifying model sensitivity to geometric…

Geophysics · Physics 2025-06-23 Gabrielle M. Hobson , Dave A. May , Alice-Agnes Gabriel

The progression of scientific computing resources has enabled the numerical approximation of mathematical models describing complex physical phenomena. A significant portion of researcher time is typically dedicated to the development of…

Mathematical Software · Computer Science 2015-06-22 Paul T. Bauman , Roy H. Stogner

This paper presents a mathematical framework for analyzing machine learning models through the geometry of their induced partitions. By representing partitions as Riemannian simplicial complexes, we capture not only adjacency relationships…

Machine Learning · Computer Science 2025-08-05 Pawel Gajer , Jacques Ravel

In recent years, machine learning (ML) methods have become increasingly popular in wireless communication systems for several applications. A critical bottleneck for designing ML systems for wireless communications is the availability of…

Signal Processing · Electrical Eng. & Systems 2025-03-28 Satyavrat Wagle , Akshay Malhotra , Shahab Hamidi-Rad , Aditya Sant , David J. Love , Christopher G. Brinton

Generative Adversarial Networks (GANs) are currently the method of choice for generating visual data. Certain GAN architectures and training methods have demonstrated exceptional performance in generating realistic synthetic images (in…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Shiyang Cheng , Michael Bronstein , Yuxiang Zhou , Irene Kotsia , Maja Pantic , Stefanos Zafeiriou

Mesh reconstruction is a cornerstone process across various applications, including in-silico trials, digital twins, surgical planning, and navigation. Recent advancements in deep learning have notably enhanced mesh reconstruction speeds.…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Fengting Zhang , Boxu Liang , Qinghao Liu , Min Liu , Xiang Chen , Yaonan Wang

Biochars have been attracting renewed attention as economical and environmentally friendly carbon sequestration materials with a diverse range of applications. However, experimental developments may be limited by the lack of molecular-level…

Materials Science · Physics 2024-06-11 Rosie Wood , Ondrej Masek , Valentina Erastova

The presented article contains a 2D mesh generation routine optimized with the Metropolis algorithm. The procedure enables to produce meshes with a prescribed size h of elements. These finite element meshes can serve as standard discrete…

Numerical Analysis · Mathematics 2024-10-21 Ilona Dominika Kosinska

Volumetric design is the first and critical step for professional building design, where architects not only depict the rough 3D geometry of the building but also specify the programs to form a 2D layout on each floor. Though 2D layout…

Machine Learning · Computer Science 2021-04-28 Kai-Hung Chang , Chin-Yi Cheng , Jieliang Luo , Shingo Murata , Mehdi Nourbakhsh , Yoshito Tsuji

We propose a new two-dimensional meshing algorithm called PINW able to generate meshes that accurately approximate the distance between any two domain points by paths composed only of cell edges. This technique is based on an extension of…

Computational Geometry · Computer Science 2025-10-20 Pritam Ganguly , Stephen A. Vavasis , Katerina D. Papoulia

In this article, we provide a detailed survey of techniques for hexahedral mesh generation. We cover the whole spectrum of alternative approaches to mesh generation, as well as post processing algorithms for connectivity editing and mesh…

In this paper, we present a machine learning-based data generator framework tailored to aid researchers who utilize simulations to examine various physical systems or processes. High computational costs and the resulting limited data often…

Machine Learning · Computer Science 2023-05-17 Sabber Ahamed , Md Mesbah Uddin

Generation of simulated detector response to collision products is crucial to data analysis in particle physics, but computationally very expensive. One subdetector, the calorimeter, dominates the computational time due to the high…

Instrumentation and Detectors · Physics 2023-11-16 Junze Liu , Aishik Ghosh , Dylan Smith , Pierre Baldi , Daniel Whiteson