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Signed distance fields (SDFs) are a widely used implicit surface representation, with broad applications in computer graphics, computer vision, and applied mathematics. To reconstruct an explicit triangle mesh surface corresponding to an…

Graphics · Computer Science 2023-08-22 Silvia Sellán , Christopher Batty , Oded Stein

The matrix expressions for every parts of a transformer are firstly described. Based on semi-tensor product (STP) of matrices the hypervectors are reconsidered and the linear transformation over hypervectors is constructed by using…

Machine Learning · Computer Science 2025-04-22 Daizhan Cheng

In this paper, we present a novel unpaired point cloud completion network, named Cycle4Completion, to infer the complete geometries from a partial 3D object. Previous unpaired completion methods merely focus on the learning of geometric…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Xin Wen , Zhizhong Han , Yan-Pei Cao , Pengfei Wan , Wen Zheng , Yu-Shen Liu

Generating high-fidelity 3D contents remains a fundamental challenge due to the complexity of representing arbitrary topologies-such as open surfaces and intricate internal structures-while preserving geometric details. Prevailing methods…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Xinran Yang , Shuichang Lai , Jiangjing Lyu , Hongjie Li , Bowen Pan , Yuanqi Li , Jie Guo , Zhengkang Zhou , Yanwen Guo

3D decomposition/segmentation still remains a challenge as large-scale 3D annotated data is not readily available. Contemporary approaches typically leverage 2D machine-generated segments, integrating them for 3D consistency. While the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Tianhao Wu , Chuanxia Zheng , Tat-Jen Cham , Qianyi Wu

A complete representation of 3D objects requires characterizing the space of deformations in an interpretable manner, from articulations of a single instance to changes in shape across categories. In this work, we improve on a prior…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Tristan Aumentado-Armstrong , Stavros Tsogkas , Sven Dickinson , Allan Jepson

Depth completion aims to predict dense depth maps with sparse depth measurements from a depth sensor. Currently, Convolutional Neural Network (CNN) based models are the most popular methods applied to depth completion tasks. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-13 Jian Qian , Miao Sun , Ashley Lee , Jie Li , Shenglong Zhuo , Patrick Yin Chiang

High-dimensional manipulator operation in unstructured environments requires a differentiable, scene-agnostic distance query mechanism to guide safe motion generation. Existing geometric collision checkers are typically non-differentiable,…

Robotics · Computer Science 2026-03-20 Haohua Chen , Yixuan Zhou , Yifan Zhou , Hesheng Wang

A method of using partial symmetries to distinguish two dimensional symmetry protected topological (SPT) phases of on-site, unitary symmetries is proposed. This novel order parameter takes a wavefunction, such as a ground state of a lattice…

Strongly Correlated Electrons · Physics 2025-07-10 Alex Turzillo , Naren Manjunath , Jose Garre-Rubio

Spatial representation learning is essential for GeoAI applications such as urban analytics, enabling the encoding of shapes, locations, and spatial relationships (topological and distance-based) of geo-entities like points, polylines, and…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Chen Chu , Cyrus Shahabi

Recent point-based object completion methods have demonstrated the ability to accurately recover the missing geometry of partially observed objects. However, these approaches are not well-suited for completing objects within a scene, as…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Wesley Khademi , Li Fuxin

Shape-from-Template (SfT) refers to the class of methods that reconstruct the 3D shape of a deforming object from images/videos using a 3D template. Traditional SfT methods require point correspondences between images and the texture of the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-04 Thuy Tran , Ruochen Chen , Shaifali Parashar

This paper presents a novel post-processing methodology for extracting high-quality geometries from density-based topology optimization results. Current post-processing approaches often struggle to simultaneously achieve smooth boundaries,…

Computational Engineering, Finance, and Science · Computer Science 2025-12-09 Ondřej Ježek , Ján Kopačka , Martin Isoz , Dušan Gabriel , Pavel Maršálek , Martin Šotola , Radim Halama

It is vital to recover 3D geometry from multi-view RGB images in many 3D computer vision tasks. The latest methods infer the geometry represented as a signed distance field by minimizing the rendering error on the field through volume…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Sijia Jiang , Tong Wu , Jing Hua , Zhizhong Han

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

3D semantic scene understanding is a fundamental challenge in computer vision. It enables mobile agents to autonomously plan and navigate arbitrary environments. SSC formalizes this challenge as jointly estimating dense geometry and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-13 Adrian Hayler , Felix Wimbauer , Dominik Muhle , Christian Rupprecht , Daniel Cremers

With the increasing reliance of self-driving and similar robotic systems on robust 3D vision, the processing of LiDAR scans with deep convolutional neural networks has become a trend in academia and industry alike. Prior attempts on the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Ran Cheng , Christopher Agia , Yuan Ren , Xinhai Li , Liu Bingbing

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

We present a StyleGAN2-based deep learning approach for 3D shape generation, called SDF-StyleGAN, with the aim of reducing visual and geometric dissimilarity between generated shapes and a shape collection. We extend StyleGAN2 to 3D…

Computer Vision and Pattern Recognition · Computer Science 2022-06-27 Xin-Yang Zheng , Yang Liu , Peng-Shuai Wang , Xin Tong

Scene Completion is the task of completing missing geometry from a partial scan of a scene. Most previous methods compute an implicit representation from range data using a Truncated Signed Distance Function (T-SDF) computed on a 3D grid as…

Computer Vision and Pattern Recognition · Computer Science 2022-12-05 Jean Pierre Richa , Jean-Emmanuel Deschaud , François Goulette , Nicolas Dalmasso
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