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Recognition of occluded objects in unseen indoor environments is a challenging problem for mobile robots. This work proposes a new slicing-based topological descriptor that captures the 3D shape of object point clouds to address this…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Ekta U. Samani , Ashis G. Banerjee

Recovering point clouds involves the sequential process of sampling and restoration, yet existing methods struggle to effectively leverage both topological and geometric attributes. To address this, we propose an end-to-end architecture…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Kaiyue Zhou , Zelong Tan , Hongxiao Wang , Ya-Li Li , Shengjin Wang

State-of-the-art methods for semantic segmentation of images involve computationally intensive neural network architectures. Most of these methods are not adaptable to high-resolution image segmentation due to memory and other computational…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Siddharth Saravanan , Aditya Challa , Sravan Danda

We investigate the problem of learning to generate 3D parametric surface representations for novel object instances, as seen from one or more views. Previous work on learning shape reconstruction from multiple views uses discrete…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Jiahui Lei , Srinath Sridhar , Paul Guerrero , Minhyuk Sung , Niloy Mitra , Leonidas J. Guibas

Learning and analyzing 3D point clouds with deep networks is challenging due to the sparseness and irregularity of the data. In this paper, we present a data-driven point cloud upsampling technique. The key idea is to learn multi-level…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Lequan Yu , Xianzhi Li , Chi-Wing Fu , Daniel Cohen-Or , Pheng-Ann Heng

Topological Data Analysis (TDA) provides tools to describe the shape of data, but integrating topological features into deep learning pipelines remains challenging, especially when preserving local geometric structure rather than…

Machine Learning · Computer Science 2026-04-21 Elena Xinyi Wang , Arnur Nigmetov , Dmitriy Morozov

Topological data analysis (TDA) is a tool from data science and mathematics that is beginning to make waves in environmental science. In this work, we seek to provide an intuitive and understandable introduction to a tool from TDA that is…

Machine Learning · Computer Science 2025-07-15 Lander Ver Hoef , Henry Adams , Emily J. King , Imme Ebert-Uphoff

Image-based 3D reconstruction has increasingly stunning results over the past few years with the latest improvements in computer vision and graphics. Geometry and topology are two fundamental concepts when dealing with 3D mesh structures.…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Gaëtan Landreau , Mohamed Tamaazousti

In this paper, 3D image data of ore particle systems is investigated. By combining X-ray micro tomography (XMT) with scanning electron microscope (SEM) based image analysis additional information about the mineralogical composition from…

Image and Video Processing · Electrical Eng. & Systems 2018-06-11 Orkun Furat , Thomas Leißner , Ralf Ditscherlein , Ondřej Šedivý , Matthias Weber , Kai Bachmann , Jens Gutzmer , Urs Peuker , Volker Schmidt

Cracks in concrete structures are very common and are an integral part of this heterogeneous material. Characteristics of cracks induced by standardized tests yield valuable information about the tested concrete formulation and its…

Machine Learning · Computer Science 2025-01-31 Anna Nowacka , Katja Schladitz , Szymon Grzesiak , Matthias Pahn

In computed tomography, the approximation quality of a scan of a physical object is typically limited by the acquisition modalities, especially the hardware including X-ray detectors. To improve upon this, we experiment with a…

Graphics · Computer Science 2023-03-14 A. Michael Stock , Sergio López-Ureña

Persistent homology is a mathematical tool used for studying the shape of data by extracting its topological features. It has gained popularity in network science due to its applicability in various network mining problems, including…

Algebraic Topology · Mathematics 2023-06-21 Mehmet Emin Aktas , Thu Nguyen , Rakin Riza , Muhammad Ifte Islam , Esra Akbas

Machine learning methods are changing the way data is analyzed. One of the most powerful and widespread applications of these techniques is in image segmentation wherein disparate objects of a digital image are partitioned and classified.…

Mesoscale and Nanoscale Physics · Physics 2021-03-18 Randy M. Sterbentz , Kristine L. Haley , Joshua O. Island

Persistent homology is a multiscale method for analyzing the shape of sets and functions from point cloud data arising from an unknown distribution supported on those sets. When the size of the sample is large, direct computation of the…

Optical fiber technologies enable high-speed communication, medical imaging, and advanced sensing. Among the techniques for the characterization of optical fibers, Xray computed tomography has recently emerged as a versatile non-destructive…

We present an approach to inform the reconstruction of a surface from a point scan through topological priors. The reconstruction is based on basis functions which are optimized to provide a good fit to the point scan while satisfying…

Computational Geometry · Computer Science 2021-09-17 Rickard Brüel-Gabrielsson , Vignesh Ganapathi-Subramanian , Primoz Skraba , Leonidas J. Guibas

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…

3D fluorescence microscopy of living organisms has increasingly become an essential and powerful tool in biomedical research and diagnosis. An exploding amount of imaging data has been collected, whereas efficient and effective…

Image and Video Processing · Electrical Eng. & Systems 2019-11-28 Yang Jiao , Mo Weng , Mei Yang

A novel method performing 3D PTV from double frame multi-camera images is introduced. Particle velocities are estimated by following three steps. Firstly, separate particle reconstructions with a sparsity-based algorithm are performed on a…

Topological features play an essential role in ensuring geometric plausibility and structural consistency in image analysis tasks such as segmentation and skeletonization. However, integrating topology-preserving learning based on simple…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Wenxiao Li , Faqiang Wang , Yuping Duan , Li Cui , Liqiang Zhang , Jun Liu