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Complex geometric tasks such as geometric modeling, physical simulation, and texture parametrization often involve the embedding of many complex sub-domains with potentially different dimensions. These tasks often require evolving the…

Graphics · Computer Science 2025-01-03 Michael Tao , Jiacheng Dai , Denis Zorin , Teseo Schneider , Daniele Panozzo

Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with fewer degrees of freedom in comparison to low-order meshes.…

Mathematical Software · Computer Science 2024-01-30 Ketan Mittal , Veselin A. Dobrev , Patrick Knupp , Tzanio Kolev , Franck Ledoux , Claire Roche , Vladimir Z. Tomov

Mesh texture synthesis is a key component in the automatic generation of 3D content. Existing learning-based methods have drawbacks -- either by disregarding the shape manifold during texture generation or by requiring a large number of…

Graphics · Computer Science 2024-03-12 Áron Samuel Kovács , Pedro Hermosilla , Renata G. Raidou

3D shape representations that accommodate learning-based 3D reconstruction are an open problem in machine learning and computer graphics. Previous work on neural 3D reconstruction demonstrated benefits, but also limitations, of point cloud,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Jun Gao , Wenzheng Chen , Tommy Xiang , Clement Fuji Tsang , Alec Jacobson , Morgan McGuire , Sanja Fidler

Reconstruction of object or scene surfaces has tremendous applications in computer vision, computer graphics, and robotics. In this paper, we study a fundamental problem in this context about recovering a surface mesh from an implicit field…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Jiabao Lei , Kui Jia , Yi Ma

We investigate the problem of learning to generate 3D parametric surface representations for novel object instances, as seen from one or more views. Previous work on learning shape reconstruction from multiple views uses discrete…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Jiahui Lei , Srinath Sridhar , Paul Guerrero , Minhyuk Sung , Niloy Mitra , Leonidas J. Guibas

This paper introduces self-supervised neural network models to tackle several fundamental problems in the field of 3D human body analysis and processing. First, we propose VariShaPE (Varifold Shape Parameter Estimator), a novel architecture…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Emmanuel Hartman , Nicolas Charon , Martin Bauer

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

We introduce Scan2Mesh, a novel data-driven generative approach which transforms an unstructured and potentially incomplete range scan into a structured 3D mesh representation. The main contribution of this work is a generative neural…

Computer Vision and Pattern Recognition · Computer Science 2019-04-03 Angela Dai , Matthias Nießner

Solving partial differential equations (PDEs) on shapes underpins many shape analysis and engineering tasks; yet, prevailing PDE solvers operate on polygonal/triangle meshes while modern 3D assets increasingly live as neural…

Machine Learning · Computer Science 2026-05-29 Lilian Welschinger , Yilin Liu , Zican Wang , Niloy Mitra

Many innovative applications require establishing correspondences among 3D geometric objects. However, the countless possible deformations of smooth surfaces make shape matching a challenging task. Finding an embedding to represent the…

Computer Vision and Pattern Recognition · Computer Science 2022-06-09 Riccardo Marin , Souhaib Attaiki , Simone Melzi , Emanuele Rodolà , Maks Ovsjanikov

Geometric feature learning for 3D surfaces is critical for many applications in computer graphics and 3D vision. However, deep learning currently lags in hierarchical modeling of 3D surfaces due to the lack of required operations and/or…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Huan Lei , Naveed Akhtar , Mubarak Shah , Ajmal Mian

Mesh is a fundamental representation of 3D assets in various industrial applications, and is widely supported by professional softwares. However, due to its irregular structure, mesh creation and manipulation is often time-consuming and…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Zhaoyang Lyu , Ben Fei , Jinyi Wang , Xudong Xu , Ya Zhang , Weidong Yang , Bo Dai

Learned 3D representations of human faces are useful for computer vision problems such as 3D face tracking and reconstruction from images, as well as graphics applications such as character generation and animation. Traditional models learn…

Computer Vision and Pattern Recognition · Computer Science 2018-08-02 Anurag Ranjan , Timo Bolkart , Soubhik Sanyal , Michael J. Black

The matching of 3D shapes has been extensively studied for shapes represented as surface meshes, as well as for shapes represented as point clouds. While point clouds are a common representation of raw real-world 3D data (e.g. from laser…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Dongliang Cao , Florian Bernard

Learning latent representations of registered meshes is useful for many 3D tasks. Techniques have recently shifted to neural mesh autoencoders. Although they demonstrate higher precision than traditional methods, they remain unable to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Yi Zhou , Chenglei Wu , Zimo Li , Chen Cao , Yuting Ye , Jason Saragih , Hao Li , Yaser Sheikh

We present a new meshing algorithm called guided and augmented meshing, GAMesh, which uses a mesh prior to generate a surface for the output points of a point network. By projecting the output points onto this prior and simplifying the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-21 Nitin Agarwal , M Gopi

Manifold models provide low-dimensional representations that are useful for processing and analyzing data in a transformation-invariant way. In this paper, we study the problem of learning smooth pattern transformation manifolds from image…

Computer Vision and Pattern Recognition · Computer Science 2013-05-20 Elif Vural , Pascal Frossard

Multiplex networks are collections of networks with identical nodes but distinct layers of edges. They are genuine representations for a large variety of real systems whose elements interact in multiple fashions or flavors. However,…

Physics and Society · Physics 2024-02-27 Daniel Kaiser , Siddharth Patwardhan , Minsuk Kim , Filippo Radicchi

In this work, we present HyperFlow - a novel generative model that leverages hypernetworks to create continuous 3D object representations in a form of lightweight surfaces (meshes), directly out of point clouds. Efficient object…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Przemysław Spurek , Maciej Zięba , Jacek Tabor , Tomasz Trzciński
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