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Deep generative models have shown success in generating 3D shapes with different representations. In this work, we propose Neural Volumetric Mesh Generator(NVMG) which can generate novel and high-quality volumetric meshes. Unlike the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Yan Zheng , Lemeng Wu , Xingchao Liu , Zhen Chen , Qiang Liu , Qixing Huang

In this paper we provide, first, a general symbolic algorithm for computing the symmetries of a given rational surface, based on the classical differential invariants of surfaces, i.e. Gauss curvature and mean curvature. In practice, the…

Computational Geometry · Computer Science 2024-10-25 Juan Juan Gerardo Alcázar , Carlos Hermoso , Hüsnü Anıl Çoban , Uğur Gözütok

Implicit 3D surface reconstruction of an object from its partial and noisy 3D point cloud scan is the classical geometry processing and 3D computer vision problem. In the literature, various 3D shape representations have been developed,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Atharva Pandey , Vishal Yadav , Rajendra Nagar , Santanu Chaudhury

NeRF-based techniques fit wide and deep multi-layer perceptrons (MLPs) to a continuous radiance field that can be rendered from any unseen viewpoint. However, the lack of surface and normals definition and high rendering times limit their…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Stefano Esposito , Daniele Baieri , Stefan Zellmann , André Hinkenjann , Emanuele Rodolà

Current fMRI decoders face a performance-fidelity trade-off where efficient ID encoders outperform geometrically faithful surface-based models. We argue this is partly driven by inefficient surface tokenization and the failure to use…

Artificial Intelligence · Computer Science 2026-05-26 Sijin Yu , Zijiao Chen , Zhenyu Yang , Zihao Tan , Jiakun Xu , Zhongliang Liu , Shengxian Chen , Wenxuan Wu , Xiangmin Xu , Xin Zhang

Modern digital engineering design process commonly involves expensive repeated simulations on varying three-dimensional (3D) geometries. The efficient prediction capability of neural networks (NNs) makes them a suitable surrogate to provide…

Computational Engineering, Finance, and Science · Computer Science 2024-06-17 Junyan He , Seid Koric , Diab Abueidda , Ali Najafi , Iwona Jasiuk

Neural implicit reconstruction via volume rendering has demonstrated its effectiveness in recovering dense 3D surfaces. However, it is non-trivial to simultaneously recover meticulous geometry and preserve smoothness across regions with…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Ziyu Tang , Weicai Ye , Yifan Wang , Di Huang , Hujun Bao , Tong He , Guofeng Zhang

4D modeling of human-object interactions is critical for numerous applications. However, efficient volumetric capture and rendering of complex interaction scenarios, especially from sparse inputs, remain challenging. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Yuheng Jiang , Suyi Jiang , Guoxing Sun , Zhuo Su , Kaiwen Guo , Minye Wu , Jingyi Yu , Lan Xu

We present Hybrid-CSR, a geometric deep-learning model that combines explicit and implicit shape representations for cortical surface reconstruction. Specifically, Hybrid-CSR begins with explicit deformations of template meshes to obtain…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Shanlin Sun , Thanh-Tung Le , Chenyu You , Hao Tang , Kun Han , Haoyu Ma , Deying Kong , Xiangyi Yan , Xiaohui Xie

Neural implicit fields have recently emerged as a useful representation for 3D shapes. These fields are commonly represented as neural networks which map latent descriptors and 3D coordinates to implicit function values. The latent…

Computer Vision and Pattern Recognition · Computer Science 2022-05-11 Hsueh-Ti Derek Liu , Francis Williams , Alec Jacobson , Sanja Fidler , Or Litany

Neural implicit surfaces are a promising tool for geometry processing that represent a solid object as the zero level set of a neural network. Usually trained to approximate a signed distance function of the considered object, these methods…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Guillaume Coiffier , Louis Bethune

We consider the problem of finding an accurate representation of neuron shapes, extracting sub-cellular features, and classifying neurons based on neuron shapes. In neuroscience research, the skeleton representation is often used as a…

Computer Vision and Pattern Recognition · Computer Science 2022-12-15 Jiaxiang Jiang , Michael Goebel , Cezar Borba , William Smith , B. S. Manjunath

We present a neural architecture that takes as input a 2D or 3D shape and outputs a program that generates the shape. The instructions in our program are based on constructive solid geometry principles, i.e., a set of boolean operations on…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Gopal Sharma , Rishabh Goyal , Difan Liu , Evangelos Kalogerakis , Subhransu Maji

We propose Super-resolution Neural Operator (SRNO), a deep operator learning framework that can resolve high-resolution (HR) images at arbitrary scales from the low-resolution (LR) counterparts. Treating the LR-HR image pairs as continuous…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Min Wei , Xuesong Zhang

Learning neural operators on heterogeneous and irregular geometries remains a fundamental challenge, as existing approaches typically rely on structured discretisations or explicit mappings to a shared reference domain. We propose a unified…

Current point cloud processing algorithms do not have the capability to automatically extract semantic information from the observed scenes, except in very specialized cases. Furthermore, existing mesh analysis paradigms cannot be directly…

Computational Geometry · Computer Science 2018-10-26 Reed M. Williams , Horea T. Ilieş

Surface parameterization is a fundamental geometry processing task, laying the foundations for the visual presentation of 3D assets and numerous downstream shape analysis scenarios. Conventional parameterization approaches demand…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Yuming Zhao , Qijian Zhang , Junhui Hou , Jiazhi Xia , Wenping Wang , Ying He

Machine learning approaches for solving partial differential equations require learning mappings between function spaces. While convolutional or graph neural networks are constrained to discretized functions, neural operators present a…

Mesh-based learning is one of the popular approaches nowadays to learn shapes. The most established backbone in this field is MeshCNN. In this paper, we propose infusing MeshCNN with geometric reasoning to achieve higher quality learning.…

Graphics · Computer Science 2021-05-28 Amir Barda , Yotam Erel , Amit H. Bermano

We present Neural Shape Deformation Priors, a novel method for shape manipulation that predicts mesh deformations of non-rigid objects from user-provided handle movements. State-of-the-art methods cast this problem as an optimization task,…

Computer Vision and Pattern Recognition · Computer Science 2023-02-02 Jiapeng Tang , Lev Markhasin , Bi Wang , Justus Thies , Matthias Nießner