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During the compression, transmission, and rendering of point clouds, various artifacts are introduced, affecting the quality perceived by the end user. However, evaluating the impact of these distortions on the overall quality is a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Michael Neri , Federica Battisti

Estimation of differential geometric quantities in discrete 3D data representations is one of the crucial steps in the geometry processing pipeline. Specifically, estimating normals and sharp feature lines from raw point cloud helps improve…

Computer Vision and Pattern Recognition · Computer Science 2020-08-07 Albert Matveev , Alexey Artemov , Denis Zorin , Evgeny Burnaev

Persistent Homology is a widely used topological data analysis tool that creates a concise description of the topological properties of a point cloud based on a specified filtration. Most filtrations used for persistent homology depend…

Algebraic Topology · Mathematics 2024-06-05 Vincent P. Grande , Michael T. Schaub

A computationally-simplified and descriptor-richer Point Cloud Quality Assessment (PCQA) metric, namely PointPCA+, is proposed in this paper, which is an extension of PointPCA. PointPCA proposed a set of perceptually-relevant descriptors…

Computer Vision and Pattern Recognition · Computer Science 2023-11-27 Xuemei Zhou , Evangelos Alexiou , Irene Viola , Pablo Cesar

The recent advances in 3D sensing technology have made possible the capture of point clouds in significantly high resolution. However, increased detail usually comes at the expense of high storage, as well as computational costs in terms of…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Rolandos Alexandros Potamias , Giorgos Bouritsas , Stefanos Zafeiriou

Reconstructing models from unorganized point clouds presents a significant challenge, especially when the models consist of multiple components represented by their surface point clouds. Such models often involve point clouds with noise…

Computational Geometry · Computer Science 2025-08-26 Yu Chen , Hongwei Lin

Point clouds have become increasingly prevalent in representing 3D scenes within virtual environments, alongside 3D meshes. Their ease of capture has facilitated a wide array of applications on mobile devices, from smartphones to autonomous…

In a world abundant with diverse data arising from complex acquisition techniques, there is a growing need for new data analysis methods. In this paper we focus on high-dimensional data that are organized into several hierarchical datasets.…

Machine Learning · Computer Science 2021-04-06 Lior Aloni , Omer Bobrowski , Ronen Talmon

The study of topology is strictly speaking, a topic in pure mathematics. However in only a few years, Topological Data Analysis (TDA), which refers to methods of utilizing topological features in data (such as connected components, tunnels,…

Applications · Statistics 2019-09-25 Nalini Ravishanker , Renjie Chen

High-quality training data is the foundation of machine learning and artificial intelligence, shaping how models learn and perform. Although much is known about what types of data are effective for training, the impact of the data's…

Machine Learning · Computer Science 2025-10-21 Yang Ba , Mohammad Sadeq Abolhasani , Rong Pan

This study presents an open source method for detecting 3D printing anomalies by comparing images of printed layers from a stationary monocular camera with G-code-based reference images of an ideal process generated with Blender, a physics…

Computer Vision and Pattern Recognition · Computer Science 2021-11-05 Aliaksei Petsiuk , Joshua M. Pearce

As point cloud data increases in prevalence in a variety of applications, the ability to detect out-of-distribution (OOD) point cloud objects becomes critical for ensuring model safety and reliability. However, this problem remains…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Adam Goodge , Xun Xu , Bryan Hooi , Wee Siong Ng , Jingyi Liao , Yongyi Su , Xulei Yang

In machine learning, ensembles are important tools for improving the model performance. In natural language processing specifically, ensembles boost the performance of a method due to multiple large models available in open source. However,…

Machine Learning · Computer Science 2025-01-30 Polina Proskura , Alexey Zaytsev

Full-reference point cloud objective metrics are currently providing very accurate representations of perceptual quality. These metrics are usually composed of a set of features that are somehow combined, resulting in a final quality value.…

Image and Video Processing · Electrical Eng. & Systems 2025-04-07 Joao Prazeres , Rafael Rodrigues , Manuela Pereira , Antonio M. G. Pinheiro

Recently, there has been an explosion in statistical learning literature to represent data using topological principles to capture structure and relationships. We propose a topological data analysis (TDA)-based framework, named Topological…

Machine Learning · Statistics 2025-11-10 Jordan Eckert , Elvan Ceyhan , Henry Schenck

The impressive capabilities of recent generative models to create texts that are challenging to distinguish from the human-written ones can be misused for generating fake news, product reviews, and even abusive content. Despite the…

Topological Data Analysis (TDA) provides a toolkit for the study of the shape of high dimensional and complex data. While operating on a space of persistence diagrams is cumbersome, persistence norms provide a simple real value measure of…

Methodology · Statistics 2023-09-26 Pawel Dlotko , Simon Rudkin

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

As a popular representation of 3D data, point cloud may contain noise and need to be filtered before use. Existing point cloud filtering methods either cannot preserve sharp features or result in uneven point distribution in the filtered…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Shuaijun Chen , Jinxi Wang , Wei Pan , Shang Gao , Meili Wang , Xuequan Lu

Deep learning-based quality assessments have significantly enhanced perceptual multimedia quality assessment, however it is still in the early stages for 3D visual data such as 3D point clouds (PCs). Due to the high volume of 3D-PCs, such…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Oussama Messai , Abdelouahid Bentamou , Abbass Zein-Eddine , Yann Gavet