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Representing 3D surfaces as level sets of continuous functions over $\mathbb{R}^3$ is the common denominator of neural implicit representations, which recently enabled remarkable progress in geometric deep learning and computer vision…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Daniele Baieri , Stefano Esposito , Filippo Maggioli , Emanuele Rodolà

Neural Radiance Fields (NeRF) have constituted a remarkable breakthrough in image-based 3D reconstruction. However, their implicit volumetric representations differ significantly from the widely-adopted polygonal meshes and lack support…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Jiaxiang Tang , Hang Zhou , Xiaokang Chen , Tianshu Hu , Errui Ding , Jingdong Wang , Gang Zeng

In the realm of 3D computer vision, parametric models have emerged as a ground-breaking methodology for the creation of realistic and expressive 3D avatars. Traditionally, they rely on Principal Component Analysis (PCA), given its ability…

Computer Vision and Pattern Recognition · Computer Science 2024-04-05 Rolandos Alexandros Potamias , Michail Tarasiou , Stylianos Ploumpis , Stefanos Zafeiriou

We present a learning based framework for mesh quality improvement on unstructured triangular and quadrilateral meshes. Our model learns to improve mesh quality according to a prescribed objective function purely via self-play reinforcement…

Computational Geometry · Computer Science 2023-09-14 Arjun Narayanan , Yulong Pan , Per-Olof Persson

This paper introduces GeoMorph, a novel geometric deep-learning framework designed for image registration of cortical surfaces. The registration process consists of two main steps. First, independent feature extraction is performed on each…

Machine Learning · Computer Science 2023-11-23 Mohamed A. Suliman , Logan Z. J. Williams , Abdulah Fawaz , Emma C. Robinson

3D shape models are naturally parameterized using vertices and faces, \ie, composed of polygons forming a surface. However, current 3D learning paradigms for predictive and generative tasks using convolutional neural networks focus on a…

Computer Vision and Pattern Recognition · Computer Science 2017-03-14 Ayan Sinha , Asim Unmesh , Qixing Huang , Karthik Ramani

An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common strategies are to employ mesh-deformation or re-meshing, where one or the other…

Numerical Analysis · Mathematics 2018-06-27 Jorgen S. Dokken , Simon W. Funke , August Johansson , Stephan Schmidt

We propose Differentiable Stereopsis, a multi-view stereo approach that reconstructs shape and texture from few input views and noisy cameras. We pair traditional stereopsis and modern differentiable rendering to build an end-to-end model…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Shubham Goel , Georgia Gkioxari , Jitendra Malik

Neural implicit representations, including Neural Distance Fields and Neural Radiance Fields, have demonstrated significant capabilities for reconstructing surfaces with complicated geometry and topology, and generating novel views of a…

Graphics · Computer Science 2024-02-08 Lin Gao , Jie Yang , Bo-Tao Zhang , Jia-Mu Sun , Yu-Jie Yuan , Hongbo Fu , Yu-Kun Lai

Triangle meshes play a crucial role in 3D applications for efficient manipulation and rendering. While auto-regressive methods generate structured meshes by predicting discrete vertex tokens, they are often constrained by limited face…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Ruowen Zhao , Junliang Ye , Zhengyi Wang , Guangce Liu , Yiwen Chen , Yikai Wang , Jun Zhu

High-fidelity face digitization solutions often combine multi-view stereo (MVS) techniques for 3D reconstruction and a non-rigid registration step to establish dense correspondence across identities and expressions. A common problem is the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-07 Tianye Li , Shichen Liu , Timo Bolkart , Jiayi Liu , Hao Li , Yajie Zhao

Accurate 3D shape abstraction from a single 2D image is a long-standing problem in computer vision and graphics. By leveraging a set of primitives to represent the target shape, recent methods have achieved promising results. However, these…

Computer Vision and Pattern Recognition · Computer Science 2023-10-05 Di Liu , Xiang Yu , Meng Ye , Qilong Zhangli , Zhuowei Li , Zhixing Zhang , Dimitris N. Metaxas

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 printing of surfaces has become an established method for prototyping and visualisation. However, surfaces often contain certain degenerations, such as self-intersecting faces or non-manifold parts, which pose problems in obtaining a 3D…

Computational Geometry · Computer Science 2024-05-28 Christian Amend , Tom Goertzen

Learning 3D shape representation with dense correspondence for deformable objects is a fundamental problem in computer vision. Existing approaches often need additional annotations of specific semantic domain, e.g., skeleton poses for human…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Baowen Zhang , Jiahe Li , Xiaoming Deng , Yinda Zhang , Cuixia Ma , Hongan Wang

The eXtreme Mesh deformation approach (X-MESH) is a new paradigm to follow sharp interfaces without remeshing and without changing the mesh topology. Even though the mesh does not change its topology, it can follow interfaces that do change…

Computational Engineering, Finance, and Science · Computer Science 2023-01-25 Nicolas Moes , Jean-Francois Remacle , Jonathan Lambrechts , Benoit Le , Nicolas Chevaugeon

Neural implicit representations have become a popular choice for modeling surfaces due to their adaptability in resolution and support for complex topology. While previous works have achieved impressive reconstruction quality by training on…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Lu Sang , Abhishek Saroha , Maolin Gao , Daniel Cremers

This paper addresses mesh restoration problems, i.e., denoising and completion, by learning self-similarity in an unsupervised manner. For this purpose, the proposed method, which we refer to as Deep Mesh Prior, uses a graph convolutional…

Computer Vision and Pattern Recognition · Computer Science 2021-11-03 Shota Hattori , Tatsuya Yatagawa , Yutaka Ohtake , Hiromasa Suzuki

We present a novel coarse-to-fine framework that derives a semi-regular multiscale mesh representation of an original input mesh via remeshing. Our approach differs from the conventional mesh wavelet transform strategy in two ways. First,…

Image and Video Processing · Electrical Eng. & Systems 2018-10-09 Hao-Chiang Shao

In 3D shape reconstruction based on template mesh deformation, a regularization, such as smoothness energy, is employed to guide the reconstruction into a desirable direction. In this paper, we highlight an often overlooked property in the…

Graphics · Computer Science 2023-08-01 Yucheol Jung , Hyomin Kim , Gyeongha Hwang , Seung-Hwan Baek , Seungyong Lee