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We introduce a new coarse-graining algorithm, tensor network skeletonization, for the numerical computation of tensor networks. This approach utilizes a structure-preserving skeletonization procedure to remove short-range correlations…

数值分析 · 数学 2016-07-05 Lexing Ying

We introduce a data-driven version of the plus Cartan connection on the homogeneous space $\mathbb{M}_2$ of 2D positions and orientations. We formulate a theorem that describes all shortest and straight curves (parallel velocity and…

微分几何 · 数学 2023-12-11 Nicky van den Berg , Bart Smets , Gautam Pai , Jean-Marie Mirebeau , Remco Duits

Trajectory analysis is essential in many applications. In this paper, we address the problem of representing motion trajectories in a highly informative way, and consequently utilize it for analyzing trajectories. Our approach first…

计算机视觉与模式识别 · 计算机科学 2017-04-27 Weiyao Lin , Yang Zhou , Hongteng Xu , Junchi Yan , Mingliang Xu , Jianxin Wu , Zicheng Liu

Autonomous agents face the challenge of coordinating multiple tasks (perception, motion planning, controller) which are computationally expensive on a single onboard computer. To utilize the onboard processing capacity optimally, it is…

机器人学 · 计算机科学 2023-05-09 Aditya Shirwatkar , Aman Singh , Jana Ravi Kiran

Contour polygonal approximation is a simplified representation of a contour by line segments, so that the main characteristics of the contour remain in a small number of line segments. This paper presents a novel method for polygonal…

计算物理 · 物理学 2013-11-19 André Ricardo Backes , Dalcimar Casanova , Odemir Martinez Bruno

For more than twenty years, Ray Tracing methods have continued to improve on both accuracy and computational time aspects. However, most state-of-the-art image-based ray tracers still rely on a description of the environment that only…

信号处理 · 电气工程与系统科学 2024-01-23 Jérome Eertmans , Claude Oestges , Laurent Jacques

Purpose: Accurate estimation of blood vessel tortuosity from medical images is an extremely important and challenging task. It is particularly relevant in the context of retinopathy of prematurity (ROP), where the staging of disease…

图像与视频处理 · 电气工程与系统科学 2025-11-18 Elifnur Sunger , Beyza Kalkanli , Veysi Yildiz , Tales Imbiriba , Giovanna Guidoboni , Peter Campbell , Deniz Erdogmus

Geometrical structures and the internal local region relationship, such as symmetry, regular array, junction, etc., are essential for understanding a 3D shape. This paper proposes a point cloud feature extraction network named PointSCNet,…

计算机视觉与模式识别 · 计算机科学 2024-06-18 Xingye Chen , Yiqi Wu , Wenjie Xu , Jin Li , Huaiyi Dong , Yilin Chen

Complex motion patterns of natural systems, such as fish schools, bird flocks, and cell groups, have attracted great attention from scientists for years. Trajectory measurement of individuals is vital for quantitative and high-throughput…

计算机视觉与模式识别 · 计算机科学 2019-02-05 Hui Li , Ye Liu , Yan Qiu Chen

A problem studied in Systems Biology is how to find shortest paths in metabolic networks. Unfortunately, simple (i.e., graph theoretic) shortest paths do not properly reflect biochemical facts. An approach to overcome this issue is to use…

数据结构与算法 · 计算机科学 2010-12-23 Sandor Fekete , Tom Kamphans , Michael Stelzer

Graph theory is a cornerstone of Computer Science education, yet entry-level students often struggle to map abstract node-edge relationships to practical applications. This paper presents the design and architecture of a Minecraft-based…

Commonly, learning-based topological navigation approaches produce a local policy while preserving some loose connectivity of the space through a topological map. Nevertheless, spurious or missing edges in the topological graph often lead…

机器人学 · 计算机科学 2022-07-12 Rey Reza Wiyatno , Anqi Xu , Liam Paull

Characterizing conformational transitions in physical systems remains a fundamental challenge, as traditional sampling methods struggle with the high-dimensional nature of molecular systems and high-energy barriers between stable states.…

化学物理 · 物理学 2025-09-22 Magnus Petersen , Gemma Roig , Roberto Covino

Path tracing offers high-fidelity rendering but remains impractical for real-time applications due to slow convergence and noise. We present a dynamic foveated path tracing technique that leverages visual perception by reducing sampling…

图形学 · 计算机科学 2025-08-29 Bipul Mohanto , Sven Kluge , Martin Weier , Oliver Staadt

The advancement of mobile technologies and the proliferation of map-based applications have enabled a user to access a wide variety of services that range from information queries to navigation systems. Due to the popularity of map-based…

数据库 · 计算机科学 2020-04-24 Hossain Mahmud , Ashfaq Mahmood Amin , Mohammed Eunus Ali , Tanzima Hashem

Validation of newly developed optical tissue sensing techniques for tumor detection during cancer surgery requires an accurate correlation with histological results. Additionally, such accurate correlation facilitates precise data labeling…

图像与视频处理 · 电气工程与系统科学 2023-11-23 Lianne Feenstra , Stefan D. van der Stel , Marcos Da Silva Guimaraes , Theo J. M Ruers , Behdad Dashtbozorg

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…

计算机视觉与模式识别 · 计算机科学 2026-05-01 Wenxiao Li , Faqiang Wang , Yuping Duan , Li Cui , Liqiang Zhang , Jun Liu

Unsupervised representation learning methods are widely used for gaining insight into high-dimensional, unstructured, or structured data. In some cases, users may have prior topological knowledge about the data, such as a known cluster…

机器学习 · 计算机科学 2023-11-08 Edith Heiter , Robin Vandaele , Tijl De Bie , Yvan Saeys , Jefrey Lijffijt

The shortest path problem is among the most fundamental combinatorial optimization problems to answer reachability queries. It is hard to deter-mine which vertices or edges are visited during shortest path traversals. In this paper, we…

社会与信息网络 · 计算机科学 2014-12-30 Waqas Nawaz , Kifayat Ullah Khan , Young-Koo Lee

Many edge and contour detection algorithms give a soft-value as an output and the final binary map is commonly obtained by applying an optimal threshold. In this paper, we propose a novel method to detect image contours from the extracted…

计算机视觉与模式识别 · 计算机科学 2021-05-12 Zahra Mousavi Kouzehkanan , Reshad Hosseini , Babak Nadjar Araabi