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The tree reconstruction problem is to find an embedded straight-line tree that approximates a given cloud of unorganized points in $\mathbb{R}^m$ up to a certain error. A practical solution to this problem will accelerate a discovery of new…

Computational Geometry · Computer Science 2020-07-20 Yury Elkin , Di Liu , Vitaliy Kurlin

DBSCAN is a fundamental spatial clustering algorithm with numerous practical applications. However, a bottleneck of the algorithm is in the worst case, the run time complexity is $O(n^2)$. To address this limitation, we propose a new…

Databases · Computer Science 2022-11-08 Xiaogang Huang , Tiefeng Ma , Conan Liu , Shuangzhe Liu

When representing a solid object there are alternatives to the use of traditional explicit (surface meshes) or implicit (zero crossing of implicit functions) methods. Skeletal representations encode shape information in a mixed fashion:…

Graphics · Computer Science 2014-06-26 Andrea Tagliasacchi

Reliable curb detection is critical for safe autonomous driving in urban contexts. Curb detection and tracking are also useful in vehicle localization and path planning. Past work utilized a 3D LiDAR sensor to determine accurate distance…

Computer Vision and Pattern Recognition · Computer Science 2020-10-14 Iljoo Baek , Tzu-Chieh Tai , Manoj Bhat , Karun Ellango , Tarang Shah , Kamal Fuseini , Ragunathan , Rajkumar

Feature curves are largely adopted to highlight shape features, such as sharp lines, or to divide surfaces into meaningful segments, like convex or concave regions. Extracting these curves is not sufficient to convey prominent and…

Computer Vision and Pattern Recognition · Computer Science 2017-10-02 Maria-Laura Torrente , Silvia Biasotti , Bianca Falcidieno

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

A matching algorithm for the identification of backbones in percolation problems is introduced. Using this procedure, percolation backbones are studied in two- to five-dimensional systems containing 1.7x10^7 sites, two orders of magnitude…

Statistical Mechanics · Physics 2015-06-25 Cristian F. Moukarzel

We introduce CurveFusion, the first approach for high quality scanning of thin structures at interactive rates using a handheld RGBD camera. Thin filament-like structures are mathematically just 1D curves embedded in R^3, and…

Graphics · Computer Science 2021-07-13 Lingjie Liu , Nenglun Chen , Duygu Ceylan , Christian Theobalt , Wenping Wang , Niloy J. Mitra

Robotic manipulation of deformable materials is a challenging task that often requires realtime visual feedback. This is especially true for deformable linear objects (DLOs) or "rods", whose slender and flexible structures make proper…

Shortest path search is a core operation in graph-based applications, yet existing methods face important limitations. Classical algorithms such as Dijkstra's and A* become inefficient as graphs grow more complex, while index-based…

Machine Learning · Computer Science 2025-08-05 Tiantian Liu , Xiao Li , Huan Li , Hua Lu , Christian S. Jensen , Jianliang Xu

As modeling and visualization applications proliferate, there arises a need to simplify large polygonal models at interactive rates. Unfortunately existing polygon mesh simplification algorithms are not well suited for this task because…

Graphics · Computer Science 2025-07-22 Dmitry Brodsky , Benjamin Watson

Images of heavily occluded objects in cluttered scenes, such as fruit clusters in trees, are hard to segment. To further retrieve the 3D size and 6D pose of each individual object in such cases, bounding boxes are not reliable from multiple…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Wenbo Dong , Pravakar Roy , Cheng Peng , Volkan Isler

The availability of low-cost range sensors and the development of relatively robust algorithms for the extraction of skeleton joint locations have inspired many researchers to develop human activity recognition methods using the 3-D data.…

Computer Vision and Pattern Recognition · Computer Science 2018-08-14 Saeed Ghodsi , Hoda Mohammadzade , Erfan Korki

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

Despite recent progress, computational visual aesthetic is still challenging. Image cropping, which refers to the removal of unwanted scene areas, is an important step to improve the aesthetic quality of an image. However, it is challenging…

Computer Vision and Pattern Recognition · Computer Science 2018-01-16 Guanjun Guo , Hanzi Wang , Chunhua Shen , Yan Yan , Hong-Yuan Mark Liao

We propose three fast algorithms for solving the inverse problem of the thermoacoustic tomography corresponding to certain acquisition geometries. Two of these methods are designed to process the measurements done with point-like detectors…

Analysis of PDEs · Mathematics 2011-02-08 Leonid Kunyansky

Robust object skeleton detection requires to explore rich representative visual features and effective feature fusion strategies. In this paper, we first re-visit the implementation of HED, the essential principle of which can be ideally…

Computer Vision and Pattern Recognition · Computer Science 2018-07-26 Chang Liu , Wei Ke , Fei Qin , Qixiang Ye

In recent years, three-dimensional point clouds are used increasingly to document natural environments. Each dataset contains a diverse set of objects, at varying shapes and sizes, distributed throughout the data and intricately intertwined…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Reuma Arav , Dennis Wittich , Franz Rottensteiner

The sparsest cut problem consists of identifying a small set of edges that breaks the graph into balanced sets of vertices. The normalized cut problem balances the total degree, instead of the size, of the resulting sets. Applications of…

Social and Information Networks · Computer Science 2017-02-17 Arlei Silva , Ambuj Singh , Ananthram Swami

Instance segmentation of biological images is essential for studying object behaviors and properties. The challenges, such as clustering, occlusion, and adhesion problems of the objects, make instance segmentation a non-trivial task.…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Jingru Yi , Hui Tang , Pengxiang Wu , Bo Liu , Daniel J. Hoeppner , Dimitris N. Metaxas , Lianyi Han , Wei Fan