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Spectral methods are widely used in geometry processing of 3D models. They rely on the projection of the mesh geometry on the basis defined by the eigenvectors of the graph Laplacian operator, becoming computationally prohibitive as the…

Signal Processing · Electrical Eng. & Systems 2018-10-08 Gerasimos Arvanitis , Aris S. Lalos , Konstantinos Moustakas

Geometry processing of 3D objects is of primary interest in many areas of computer vision and graphics, including robot navigation, 3D object recognition, classification, feature extraction, etc. The recent introduction of cheap range…

Signal Processing · Electrical Eng. & Systems 2021-11-20 Gerasimos Arvanitis

We formulate object segmentation in video as a graph partitioning problem in space and time, in which nodes are pixels and their relations form local neighborhoods. We claim that the strongest cluster in this pixel-level graph represents…

Computer Vision and Pattern Recognition · Computer Science 2020-04-29 Elena Burceanu , Marius Leordeanu

We pose video object segmentation as spectral graph clustering in space and time, with one graph node for each pixel and edges forming local space-time neighborhoods. We claim that the strongest cluster in this video graph represents the…

Computer Vision and Pattern Recognition · Computer Science 2022-12-16 Elena Burceanu , Marius Leordeanu

3D object recognition accuracy can be improved by learning the multi-scale spatial features from 3D spatial geometric representations of objects such as point clouds, 3D models, surfaces, and RGB-D data. Current deep learning approaches…

Computer Vision and Pattern Recognition · Computer Science 2019-05-07 Sambit Ghadai , Xian Lee , Aditya Balu , Soumik Sarkar , Adarsh Krishnamurthy

We address the problem of 3D shape registration and we propose a novel technique based on spectral graph theory and probabilistic matching. The task of 3D shape analysis involves tracking, recognition, registration, etc. Analyzing 3D data…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Avinash Sharma , Radu Horaud , Diana Mateus

A major element of depth perception and 3D understanding is the ability to predict the 3D layout of a scene and its contained objects for a novel pose. Indoor environments are particularly suitable for novel view prediction, since the set…

Computer Vision and Pattern Recognition · Computer Science 2018-08-13 Pulak Purkait , Ujwal Bonde , Christopher Zach

We introduce an approach for selecting objects in neural volumetric 3D representations, such as multi-plane images (MPI) and neural radiance fields (NeRF). Our approach takes a set of foreground and background 2D user scribbles in one view…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Zhongzheng Ren , Aseem Agarwala , Bryan Russell , Alexander G. Schwing , Oliver Wang

Comprehending 3D environments is vital for intelligent systems in domains like robotics and autonomous navigation. Voxel grids offer a structured representation of 3D space, but extracting high-level semantic meaning remains challenging.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Alan Dao , Norapat Buppodom

Real-time detection of objects in the 3D scene is one of the tasks an autonomous agent needs to perform for understanding its surroundings. While recent Deep Learning-based solutions achieve satisfactory performance, their high…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Illia Oleksiienko , Alexandros Iosifidis

The goal of this paper is to compare surface-based and volumetric 3D object shape representations, as well as viewer-centered and object-centered reference frames for single-view 3D shape prediction. We propose a new algorithm for…

Computer Vision and Pattern Recognition · Computer Science 2018-06-13 Daeyun Shin , Charless C. Fowlkes , Derek Hoiem

One major goal of vision is to infer physical models of objects, surfaces, and their layout from sensors. In this paper, we aim to interpret indoor scenes from one RGBD image. Our representation encodes the layout of orthogonal walls and…

Computer Vision and Pattern Recognition · Computer Science 2018-11-15 Chuhang Zou , Ruiqi Guo , Zhizhong Li , Derek Hoiem

3D object detection is vital for many robotics applications. For tasks where a 2D perspective range image exists, we propose to learn a 3D representation directly from this range image view. To this end, we designed a 2D convolutional…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Yuning Chai , Pei Sun , Jiquan Ngiam , Weiyue Wang , Benjamin Caine , Vijay Vasudevan , Xiao Zhang , Dragomir Anguelov

Recovering dense and long-range pixel motion in videos is a challenging problem. Part of the difficulty arises from the 3D-to-2D projection process, leading to occlusions and discontinuities in the 2D motion domain. While 2D motion can be…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Yuxi Xiao , Qianqian Wang , Shangzhan Zhang , Nan Xue , Sida Peng , Yujun Shen , Xiaowei Zhou

A spectral method is considered for approximating the fractional Laplacian and solving the fractional Poisson problem in 2D and 3D unit balls. The method is based on the explicit formulation of the eigenfunctions and eigenvalues of the…

Numerical Analysis · Mathematics 2018-12-21 Kailai Xu , Eric Darve

3D vector graphics play a crucial role in various applications including 3D shape retrieval, conceptual design, and virtual reality interactions due to their ability to capture essential structural information with minimal representation.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Chuang Wang , Haitao Zhou , Ling Luo , Qian Yu

This work aims to estimate 6Dof (6D) object pose in background clutter. Considering the strong occlusion and background noise, we propose to utilize the spatial structure for better tackling this challenging task. Observing that the 3D mesh…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Jianhan Mei , Xudong Jiang , Henghui Ding

Spectral 3D computer vision examines both the geometric and spectral properties of objects. It provides a deeper understanding of an object's physical properties by providing information from narrow bands in various regions of the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-17 Yajie Sun , Ali Zia , Vivien Rolland , Charissa Yu , Jun Zhou

This paper proposes a method to reconstruct the neural radiance field with equirectangular omnidirectional images. Implicit neural scene representation with a radiance field can reconstruct the 3D shape of a scene continuously within a…

Computer Vision and Pattern Recognition · Computer Science 2022-08-15 Qiaoge Li , Itsuki Ueda , Chun Xie , Hidehiko Shishido , Itaru Kitahara

In recent years there has been a resurgence of interest in our community in the shape analysis of 3D objects represented by surface meshes, their voxelized interiors, or surface point clouds. In part, this interest has been stimulated by…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Morteza Rezanejad , Mohammad Khodadad , Hamidreza Mahyar , Herve Lombaert , Michael Gruninger , Dirk B. Walther , Kaleem Siddiqi
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