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The vast majority of mesh-based modelling applications iteratively transform the mesh vertices under prescribed geometric conditions. This occurs in particular in methods cycling through the constraint set such as Position-Based Dynamics…

Numerical Analysis · Mathematics 2020-11-25 Carlos Arango Duque , Adrien Bartoli

A prerequisite for many biomechanical simulation techniques is discretizing a bounded volume into a tetrahedral mesh. In certain contexts, such as cortical surface simulations, preserving input surface connectivity is critical. However,…

Computational Geometry · Computer Science 2025-12-10 Besm Osman , Ruben Vink , Andrei Jalba , Maxime Chamberland

3D shape analysis is an important research topic in computer vision and graphics. While existing methods have generalized image-based deep learning to meshes using graph-based convolutions, the lack of an effective pooling operation…

Graphics · Computer Science 2019-08-08 Yu-Jie Yuan , Yu-Kun Lai , Jie Yang , Hongbo Fu , Lin Gao

With the rising popularity of virtual worlds, the importance of data-driven parametric models of 3D meshes has grown rapidly. Numerous applications, such as computer vision, procedural generation, and mesh editing, vastly rely on these…

Computer Vision and Pattern Recognition · Computer Science 2024-02-19 Robert Kosk , Richard Southern , Lihua You , Shaojun Bian , Willem Kokke , Greg Maguire

This paper presents a novel framework to recover detailed human body shapes from a single image. It is a challenging task due to factors such as variations in human shapes, body poses, and viewpoints. Prior methods typically attempt to…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Hao Zhu , Xinxin Zuo , Sen Wang , Xun Cao , Ruigang Yang

Material properties such as permeability fields in heterogeneous porous media are often represented as discontinuous, piecewise constant data tied to a given spatial discretization. Such representations are inherently mesh-dependent,…

Numerical Analysis · Mathematics 2026-05-19 Kapil Chawla , Sanghyun Lee , Yeonjong Shin

Molecular pretrained representations (MPR) has emerged as a powerful approach for addressing the challenge of limited supervised data in applications such as drug discovery and material design. While early MPR methods relied on 1D sequences…

Biomolecules · Quantitative Biology 2025-03-19 Shuqi Lu , Xiaohong Ji , Bohang Zhang , Lin Yao , Siyuan Liu , Zhifeng Gao , Linfeng Zhang , Guolin Ke

In recent years, neural signed distance function (SDF) has become one of the most effective representation methods for 3D models. By learning continuous SDFs in 3D space, neural networks can predict the distance from a given query space…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Yuanzhan Li , Yuqi Liu , Yujie Lu , Siyu Zhang , Shen Cai , Yanting Zhang

The medial axis of a closed set is well established tool in pattern recognition, cherished for its power of reconstruction of domains. In this article we fill this gap answering the question which sets precisely are reconstructible from the…

Metric Geometry · Mathematics 2026-04-30 Adam Białożyt

In this paper, we present a simple yet effective formulation called Coverage Axis for 3D shape skeletonization. Inspired by the set cover problem, our key idea is to cover all the surface points using as few inside medial balls as possible.…

Graphics · Computer Science 2022-01-27 Zhiyang Dou , Cheng Lin , Rui Xu , Lei Yang , Shiqing Xin , Taku Komura , Wenping Wang

Most 3D shape analysis methods use triangular meshes to discretize both the shape and functions on it as piecewise linear functions. With this representation, shape analysis requires fine meshes to represent smooth shapes and geometric…

Computer Vision and Pattern Recognition · Computer Science 2017-11-30 V. Estellers , F. R. Schmidt , D. Cremers

We address the problem of mesh reconstruction from live RGB-D video, assuming a calibrated camera and poses provided externally (e.g., by a SLAM system). In contrast to most existing approaches, we do not fuse depth measurements in a volume…

Computer Vision and Pattern Recognition · Computer Science 2019-11-21 Thomas Schöps , Torsten Sattler , Marc Pollefeys

Orthogonal frequency division multiplexing (OFDM) signals with rectangular pulses exhibit low spectral confinement. Shaping their power spectral density (PSD) is imperative in the increasingly overcrowded spectrum to benefit from the…

Signal Processing · Electrical Eng. & Systems 2026-01-01 Javier Giménez , José A. Cortés , Luis Díez

The present paper suggests a new approach for geometric representation of 3D spatial models and provides a new compression algorithm for 3D meshes, which is based on mathematical theory of convex geometry. In our approach we represent a 3D…

Computational Geometry · Computer Science 2013-08-13 Rafik Aramyan , Gagik Mkrtchyan , Arman Karapetyan

In this paper, we investigate a new optimization framework for multi-view 3D shape reconstructions. Recent differentiable rendering approaches have provided breakthrough performances with implicit shape representations though they can still…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Pierre Zins , Yuanlu Xu , Edmond Boyer , Stefanie Wuhrer , Tony Tung

We propose a novel method to reconstruct the 3D shapes of transparent objects using hand-held captured images under natural light conditions. It combines the advantage of explicit mesh and multi-layer perceptron (MLP) network, a hybrid…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Jiamin Xu , Zihan Zhu , Hujun Bao , Weiwei Xu

In this paper, we study the problem of continuous 3D shape representations. The majority of existing successful methods are coordinate-based implicit neural representations. However, they are inefficient to render novel views or recover…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Zhuoman Liu , Bo Yang , Yan Luximon , Ajay Kumar , Jinxi Li

Reshaping accurate and realistic 3D human bodies from anthropometric parameters (e.g., height, chest size, etc.) poses a fundamental challenge for person identification, online shopping and virtual reality. Existing approaches for creating…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Yanhong Zeng , Jianlong Fu , Hongyang Chao

Surface meshes are widely used shape representations and capture finer geometry data than point clouds or volumetric grids, but are challenging to apply CNNs directly due to their non-Euclidean structure. We use parallel frames on surface…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Yuqi Yang , Shilin Liu , Hao Pan , Yang Liu , Xin Tong

This work explores a spatial printing method to fabricate continuous fiber-reinforced thermoplastic composites (CFRTPCs), which can achieve exceptional mechanical performance. For models giving complex 3D stress distribution under loads,…

Computational Geometry · Computer Science 2024-01-26 Guoxin Fang , Tianyu Zhang , Yuming Huang , Zhizhou Zhang , Kunal Masania , Charlie C. L. Wang