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Test-Time Adaptation (TTA) addresses distribution shifts during testing by adapting a pretrained model without access to source data. In this work, we propose a novel TTA approach for 3D point cloud classification, combining sampling…

Characterizing microstructure-material-property relations calls for software tools which extract point-cloud- and continuum-scale-based representations of microstructural objects. Application examples include atom probe, electron, and…

Recent advances in pretraining 3D point cloud encoders (e.g., Point-BERT, Point-MAE) have produced powerful models, whose abilities are typically evaluated on geometric or semantic tasks. At the same time, topological descriptors have been…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Louis Martinez , Maks Ovsjanikov

Topological Data Analysis (TDA) provides a pipeline to extract quantitative topological descriptors from structured objects. This enables the definition of topological loss functions, which assert to what extent a given object exhibits some…

Artificial Intelligence · Computer Science 2024-05-30 Mathieu Carriere , Marc Theveneau , Théo Lacombe

To improve the viewer's Quality of Experience (QoE) and optimize computer graphics applications, 3D model quality assessment (3D-QA) has become an important task in the multimedia area. Point cloud and mesh are the two most widely used…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Zicheng Zhang , Wei Sun , Xiongkuo Min , Tao Wang , Wei Lu , Guangtao Zhai

The most essential feature of aviation equipment is high quality, including high performance, high stability and high reliability. In this paper, we propose a novel hierarchical error assessment framework for aircraft CAD models within a…

Computer Vision and Pattern Recognition · Computer Science 2025-06-13 Jin Huang , Honghua Chen , Mingqiang Wei

The surface quality inspection of manufacturing parts based on 3D point cloud data has attracted increasing attention in recent years. The reason is that the 3D point cloud can capture the entire surface of manufacturing parts, unlike the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-12 Xuanming Cao , Chengyu Tao , Juan Du

The visual quality of point clouds has been greatly emphasized since the ever-increasing 3D vision applications are expected to provide cost-effective and high-quality experiences for users. Looking back on the development of point cloud…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Zicheng Zhang , Wei Sun , Xiongkuo Min , Quan Zhou , Jun He , Qiyuan Wang , Guangtao Zhai

Following the advent of immersive technologies and the increasing interest in representing interactive geometrical format, 3D Point Clouds (PC) have emerged as a promising solution and effective means to display 3D visual information. In…

Computer Vision and Pattern Recognition · Computer Science 2022-11-07 Marouane Tliba , Aladine Chetouani , Giuseppe Valenzise , Frederic Dufaux

Machining processes are most accurately described using complex dynamical systems that include nonlinearities, time delays, and stochastic effects. Due to the nature of these models as well as the practical challenges which include…

Signal Processing · Electrical Eng. & Systems 2022-01-19 Melih C. Yesilli , Firas A. Khasawneh , Andreas Otto

In rate-distortion optimization, the encoder settings are determined by maximizing a reconstruction quality measure subject to a constraint on the bit rate. One of the main challenges of this approach is to define a quality measure that can…

Image and Video Processing · Electrical Eng. & Systems 2021-08-11 Qi Liu , Hui Yuan , Raouf Hamzaoui , Honglei Su , Junhui Hou , Huan Yang

Topological data analysis (TDA) is an emerging mathematical concept for characterizing shapes in complex data. In TDA, persistence diagrams are widely recognized as a useful descriptor of data, and can distinguish robust and noisy…

Algebraic Topology · Mathematics 2016-04-27 Genki Kusano , Kenji Fukumizu , Yasuaki Hiraoka

Topological Data Analysis (TDA) has emerged as a powerful framework for extracting robust, multiscale, and interpretable features from complex molecular data for artificial intelligence (AI) modeling and topological deep learning (TDL).…

Biomolecules · Quantitative Biology 2025-09-23 JunJie Wee , Jian Jiang

A methodology is proposed for inferring the topology underlying point cloud data. The approach employs basic elements of Morse Theory, and is capable of producing not only a point estimate of various topological quantities (e.g., genus),…

Other Statistics · Statistics 2011-05-16 Caren Marzban , Ulvi Yurtsever

Exploring the shape of point configurations has been a key driver in the evolution of TDA (short for topological data analysis) since its infancy. This survey illustrates the recent efforts to broaden these ideas to model spatial…

Computational Geometry · Computer Science 2024-06-07 Sebastiano Cultrera di Montesano , Ondrej Draganov , Herbert Edelsbrunner , Morteza Saghafian

With the rapid development of 3D vision applications based on point clouds, point cloud quality assessment(PCQA) is becoming an important research topic. However, the prior PCQA methods ignore the effect of local quality variance across…

Computer Vision and Pattern Recognition · Computer Science 2023-06-12 Jun Cheng , Honglei Su , Jari Korhonen

Deep neural networks for 3D point cloud understanding have achieved remarkable success in object classification and recognition, yet recent work shows that these models remain highly vulnerable to adversarial perturbations. Existing 3D…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Gayathry Chandramana Krishnan Nampoothiry , Raghuram Venkatapuram , Anirban Ghosh , Ayan Dutta

We introduce a subsampling method for topological data analysis based on strong collapses of simplicial complexes. Given a point cloud and a scale parameter $\delta$, we construct a subsampling that preserves both global and local…

Computational Geometry · Computer Science 2025-11-27 Elias Gabriel Minian

Real data is often given as a point cloud, i.e. a finite set of points with pairwise distances between them. An important problem is to detect the topological shape of data --- for example, to approximate a point cloud by a low-dimensional…

Algebraic Topology · Mathematics 2018-10-09 Sara Kalisnik Verovsek , Vitaliy Kurlin , Davorin Lesnik

Quantifying patterns in visual or tactile textures provides important information about the process or phenomena that generated these patterns. In manufacturing, these patterns can be intentionally introduced as a design feature, or they…

Computational Geometry · Computer Science 2023-06-13 Max M. Chumley , Melih C. Yesilli , Jisheng Chen , Firas A. Khasawneh , Yang Guo
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