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Implicit neural representations have emerged as a powerful tool in learning 3D geometry, offering unparalleled advantages over conventional representations like mesh-based methods. A common type of INR implicitly encodes a shape's boundary…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Shen Fan , Przemyslaw Musialski

We propose integrating optimal transport (OT) into operator learning for partial differential equations (PDEs) on complex geometries. Classical geometric learning methods typically represent domains as meshes, graphs, or point clouds. Our…

Machine Learning · Computer Science 2025-07-29 Xinyi Li , Zongyi Li , Nikola Kovachki , Anima Anandkumar

Accurate surface geometry representation is crucial in 3D visual computing. Explicit representations, such as polygonal meshes, and implicit representations, like signed distance functions, each have distinct advantages, making efficient…

Graphics · Computer Science 2025-09-26 Christian Stippel , Felix Mujkanovic , Thomas Leimkühler , Pedro Hermosilla

The recent proliferation of 3D content that can be consumed on hand-held devices necessitates efficient tools for transmitting large geometric data, e.g., 3D meshes, over the Internet. Detailed high-resolution assets can pose a challenge to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Yun-Chun Chen , Vladimir G. Kim , Noam Aigerman , Alec Jacobson

Neural representations of 3D data have been widely adopted across various applications, particularly in recent work leveraging coordinate-based networks to model scalar or vector fields. However, these approaches face inherent challenges,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Biao Zhang , Jing Ren , Peter Wonka

Implicit Neural Representations (INRs) have been demonstrated to achieve state-of-the-art compression of a broad range of modalities such as images, videos, 3D surfaces, and audio. Most studies have focused on building neural counterparts…

Computational Geometry · Computer Science 2025-12-19 Sai Karthikey Pentapati , Gregoire Phillips , Alan Bovik

In visual computing, 3D geometry is represented in many different forms including meshes, point clouds, voxel grids, level sets, and depth images. Each representation is suited for different tasks thus making the transformation of one…

Computer Vision and Pattern Recognition · Computer Science 2022-09-02 Trevor Houchens , Cheng-You Lu , Shivam Duggal , Rao Fu , Srinath Sridhar

Neural implicit surface representations have recently emerged as popular alternative to explicit 3D object encodings, such as polygonal meshes, tabulated points, or voxels. While significant work has improved the geometric fidelity of these…

Graphics · Computer Science 2023-06-27 Yanran Guan , Andrei Chubarau , Ruby Rao , Derek Nowrouzezahrai

Recent research on learnable neural representations has been widely adopted in the field of 3D scene reconstruction and neural rendering applications. However, traditional feature grid representations often suffer from substantial memory…

Graphics · Computer Science 2026-04-30 Rui Su , Honghao Dong , Haojie Jin , Yisong Chen , Guoping Wang , Sheng Li

With the rapid development of high-resolution 3D vision applications, the traditional way of manipulating surface detail requires considerable memory and computing time. To address these problems, we introduce an efficient surface detail…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Wuyuan Xie , Miaohui Wang , Di Lin , Boxin Shi , Jianmin Jiang

Geodesics are essential in many geometry processing applications. However, traditional algorithms for computing geodesic distances and paths on 3D mesh models are often inefficient and slow. This makes them impractical for scenarios that…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Qijian Zhang , Junhui Hou , Yohanes Yudhi Adikusuma , Wenping Wang , Ying He

Neural implicit functions have emerged as a powerful representation for surfaces in 3D. Such a function can encode a high quality surface with intricate details into the parameters of a deep neural network. However, optimizing for the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Wang Yifan , Shihao Wu , Cengiz Oztireli , Olga Sorkine-Hornung

This work is concerned with a representation of shapes that disentangles fine, local and possibly repeating geometry, from global, coarse structures. Achieving such disentanglement leads to two unrelated advantages: i) a significant…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Luca Morreale , Noam Aigerman , Paul Guerrero , Vladimir G. Kim , Niloy J. Mitra

Mesh processing pipelines are mature, but adapting them to newer non-mesh surface representations -- which enable fast rendering with compact file size -- requires costly meshing or transmitting bulky meshes, negating their core benefits…

Graphics · Computer Science 2025-08-19 Yuta Noma , Zhecheng Wang , Chenxi Liu , Karan Singh , Alec Jacobson

We present NeCGS, the first neural compression paradigm, which can compress a geometry set encompassing thousands of detailed and diverse 3D mesh models by up to 900 times with high accuracy and preservation of detailed geometric…

Computational Geometry · Computer Science 2025-06-27 Siyu Ren , Junhui Hou , Weiyao Lin , Wenping Wang

This paper addresses the limitations of neural rendering-based multi-view surface reconstruction methods, which require an additional mesh extraction step that is inconvenient and would produce poor-quality surfaces with mesh aliasing,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Qitong Zhang , Jieqing Feng

It has been recently shown that neural networks can recover the geometric structure of a face from a single given image. A common denominator of most existing face geometry reconstruction methods is the restriction of the solution space to…

Computer Vision and Pattern Recognition · Computer Science 2017-09-18 Matan Sela , Elad Richardson , Ron Kimmel

Computational optimal transport (OT) offers a principled framework for generative modeling. Neural OT methods, which use neural networks to learn an OT map (or potential) from data in an amortized way, can be evaluated out of sample after…

Machine Learning · Computer Science 2026-02-04 Alessandro Micheli , Yueqi Cao , Anthea Monod , Samir Bhatt

This paper presents a light-weight, high-quality texture synthesis algorithm that easily generalizes to other applications such as style transfer and texture mixing. We represent texture features through the deep neural activation vectors…

Graphics · Computer Science 2020-10-29 Eric Risser

Generative Design (GD) combines artificial intelligence (AI), physics-based modeling, and multi-objective optimization to autonomously explore and refine engineering designs. Despite its promise in aerospace, automotive, and other…

Computational Engineering, Finance, and Science · Computer Science 2025-11-24 Sergio Torregrosa , David Munoz , Hector Navarro , Charbel Farhat , Francisco Chinesta
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