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Our goal in this paper is to apply the topological signal processing (TSP) framework to the analysis of 3D Point Clouds (PCs) represented on simplicial complexes. Building on Discrete Exterior Calculus (DEC) theory for vector fields, we…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Tiziana Cattai , Stefania Sardellitti , Stefania Colonnese , Sergio Barbarossa

Sensing the medical scenario can ensure the safety during the surgical operations. So, in this regard, a monitor platform which can obtain the accurate location information of the surgery room is desperately needed. Compared to 2D camera…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Ke Wang , Han Song , Jiahui Zhang , Xinran Zhang , Hongen Liao

We present a method for dynamic surface reconstruction of large-scale urban scenes from LiDAR. Depth-based reconstructions tend to focus on small-scale objects or large-scale SLAM reconstructions that treat moving objects as outliers. We…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Nathaniel Chodosh , Anish Madan , Simon Lucey , Deva Ramanan

Point cloud surface reconstruction has improved in accuracy with advances in deep learning, enabling applications such as infrastructure inspection. Recent approaches that reconstruct from small local regions rather than entire point clouds…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Eito Ogawa , Taiga Hayami , Hiroshi Watanabe

The aim of this work is to introduce simplicial attention networks (SANs), i.e., novel neural architectures that operate on data defined on simplicial complexes leveraging masked self-attentional layers. Hinging on formal arguments from…

Machine Learning · Computer Science 2022-03-29 L. Giusti , C. Battiloro , P. Di Lorenzo , S. Sardellitti , S. Barbarossa

The reconstruction of textureless areas has long been a challenging problem in MVS due to lack of reliable pixel correspondences between images. In this paper, we propose the Textureless-aware Segmentation And Correlative Refinement guided…

Computer Vision and Pattern Recognition · Computer Science 2024-09-02 Zhenlong Yuan , Jiakai Cao , Zhaoqi Wang , Zhaoxin Li

With the explosive growth of web-based cameras and mobile devices, billions of photographs are uploaded to the internet. We can trivially collect a huge number of photo streams for various goals, such as image clustering, 3D scene…

Computer Vision and Pattern Recognition · Computer Science 2014-09-16 Ju Shen , Jianjun Yang , Sami Taha-abusneineh , Bryson Payne , Markus Hitz

This paper propose a interactive 3D modeling method and corresponding system based on single or multiple uncalibrated images. The main feature of this method is that, according to the modeling habits of ordinary people, the 3D model of the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Zhi He , Rui Wang , Wei Hua , Yuchi Huo

3D reconstruction from single view images is an ill-posed problem. Inferring the hidden regions from self-occluded images is both challenging and ambiguous. We propose a two-pronged approach to address these issues. To better incorporate…

Computer Vision and Pattern Recognition · Computer Science 2019-03-27 Priyanka Mandikal , K L Navaneet , Mayank Agarwal , R. Venkatesh Babu

Mobile mapping, in particular, Mobile Lidar Scanning (MLS) is increasingly widespread to monitor and map urban scenes at city scale with unprecedented resolution and accuracy. The resulting point cloud sampling of the scene geometry can be…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Teng Wu , Bruno Vallet , Cédric Demonceaux

Existing learning-based surface reconstruction methods from point clouds are still facing challenges in terms of scalability and preservation of details on large-scale point clouds. In this paper, we propose the SSRNet, a novel scalable…

Computer Vision and Pattern Recognition · Computer Science 2020-04-15 Zhenxing Mi , Yiming Luo , Wenbing Tao

Reconstructing semantic 3D building models at the level of detail (LoD) 3 is a long-standing challenge. Unlike mesh-based models, they require watertight geometry and object-wise semantics at the fa\c{c}ade level. The principal challenge of…

Computer Vision and Pattern Recognition · Computer Science 2023-05-11 Olaf Wysocki , Yan Xia , Magdalena Wysocki , Eleonora Grilli , Ludwig Hoegner , Daniel Cremers , Uwe Stilla

SLAM systems are mainly applied for robot navigation while research on feasibility for motion planning with SLAM for tasks like bin-picking, is scarce. Accurate 3D reconstruction of objects and environments is important for planning motion…

Computer Vision and Pattern Recognition · Computer Science 2018-03-07 Sergey Triputen , Atmaraaj Gopal , Thomas Weber , Christian Hofert , Kristiaan Schreve , Matthias Ratsch

With a better understanding of the loss surfaces for multilayer networks, we can build more robust and accurate training procedures. Recently it was discovered that independently trained SGD solutions can be connected along one-dimensional…

Machine Learning · Computer Science 2021-11-17 Gregory W. Benton , Wesley J. Maddox , Sanae Lotfi , Andrew Gordon Wilson

In this paper, we propose a novel method for joint recovery of camera pose, object geometry and spatially-varying Bidirectional Reflectance Distribution Function (svBRDF) of 3D scenes that exceed object-scale and hence cannot be captured…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Carolin Schmitt , Božidar Antić , Andrei Neculai , Joo Ho Lee , Andreas Geiger

Inspired by the seminal result that a graph and an associated rotation system uniquely determine the topology of a closed manifold, we propose a combinatorial method for reconstruction of surfaces from points. Our method constructs a…

Computational Geometry · Computer Science 2025-05-28 Ruiqi Cui , Emil Toftegaard Gæde , Eva Rotenberg , Leif Kobbelt , J. Andreas Bærentzen

Semantic reconstruction of indoor scenes refers to both scene understanding and object reconstruction. Existing works either address one part of this problem or focus on independent objects. In this paper, we bridge the gap between…

Computer Vision and Pattern Recognition · Computer Science 2020-02-28 Yinyu Nie , Xiaoguang Han , Shihui Guo , Yujian Zheng , Jian Chang , Jian Jun Zhang

The goal of this paper is to establish the fundamental tools to analyze signals defined over a topological space, i.e. a set of points along with a set of neighborhood relations. This setup does not require the definition of a metric and…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Sergio Barbarossa , Stefania Sardellitti

A variational approach to the reconstruction of a shape (2D simple manifolds) as triangulated surface from given level set using shape gradients is presented. It involves an energy functional that depends on the local shape characteristics…

Graphics · Computer Science 2025-05-06 Shafeequdheen P , Jyotiranjan Nayak , Vijayakrishna Rowthu

We introduce an inference-time scene optimization algorithm utilizing triangle soup, a collection of disconnected translucent triangle primitives, as the representation for the geometry and appearance of a scene. Unlike full-rank Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Nathaniel Burgdorfer , Philippos Mordohai