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We discuss how the geometric theory of differential equations can be used for the numerical integration and visualisation of implicit ordinary differential equations, in particular around singularities of the equation. The Vessiot theory…

Dynamical Systems · Mathematics 2020-03-03 Elishan Braun , Werner M. Seiler , Matthias Seiss

Topological physics desires stable methods to measure the polarization singularities in optical vector fields. Here a periodic plasmonic metasurface is proposed to perform divergence computation of vectorial paraxial beams. We design such…

Optics · Physics 2020-09-09 Yijie Lou , Yisheng Fang , Zhichao Ruan

This work leverages the U.S. Federal Aviation Administration's Traffic Flow Management System dataset and DV8, a recently developed tool for highly interactive visualization of air traffic data, to develop clustering algorithms for…

Human-Computer Interaction · Computer Science 2023-10-11 Yifan Song , Keyang Yu , Seth Young

In dynamic environments, performance of visual SLAM techniques can be impaired by visual features taken from moving objects. One solution is to identify those objects so that their visual features can be removed for localization and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Jonathan Vincent , Mathieu Labbé , Jean-Samuel Lauzon , François Grondin , Pier-Marc Comtois-Rivet , François Michaud

Developing an algorithm for a visualization prototype often involves the direct comparison of different development stages and design decisions, and even minor modifications may dramatically affect the results. While existing development…

Software Engineering · Computer Science 2020-01-08 Fabian Bolte , Stefan Bruckner

The widespread use of vector graphics creates a significant demand for vectorization methods. While recent learning-based techniques have shown their capability to create vector images of clear topology, filling these primitives with…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Hengyu Zhou , Hui Zhang , Bin Wang

This paper proposes an enhancement of convolutional neural networks for object detection in resource-constrained robotics through a geometric input transformation called Visual Mesh. It uses object geometry to create a graph in vision…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Trent Houliston , Stephan K. Chalup

Waterline usually plays as an important visual cue for maritime applications. However, the visual complexity of inland waterline presents a significant challenge for the development of highly efficient computer vision algorithms tailored…

Computer Vision and Pattern Recognition · Computer Science 2019-11-26 Jing Huang , Hengfeng Miao , Lin Li , Yuanqiao Wen , Changshi Xiao

Oblique images are aerial photographs taken at oblique angles to the earth's surface. Projections of vector and other geospatial data in these images depend on camera parameters, positions of the geospatial entities, surface terrain,…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Pragyana Mishra , Eyal Ofek , Gur Kimchi

A novel inline data compression method is presented for single-precision vectors in three dimensions. The primary application of the method is for accelerating computational physics calculations where the throughput is bound by memory…

Computational Engineering, Finance, and Science · Computer Science 2020-06-25 Will Trojak , Freddie Witherden

This paper introduces BEV-VLM, a novel approach for trajectory planning in autonomous driving that leverages Vision-Language Models (VLMs) with Bird's-Eye View (BEV) feature maps as visual input. Unlike conventional trajectory planning…

Robotics · Computer Science 2026-03-02 Guancheng Chen , Sheng Yang , Tong Zhan , Jian Wang

Despite the growing availability of 3D urban datasets, extracting insights remains challenging due to computational bottlenecks and the complexity of interacting with data. In fact, the intricate geometry of 3D urban environments results in…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Stefan Cobeli , Kazi Shahrukh Omar , Rodrigo Valença , Nivan Ferreira , Fabio Miranda

Hyperbolic geometry offers a natural focus + context for data visualization and has been shown to underlie real-world complex networks. However, current hyperbolic network visualization approaches are limited to special types of networks…

Graphics · Computer Science 2022-05-18 Jacob Miller , Stephen Kobourov , Vahan Huroyan

We present a method for simulating fluid vesicles with in-plane orientational ordering. The method involves computation of local curvature tensor and parallel transport of the orientational field on a randomly triangulated surface. It is…

Biological Physics · Physics 2015-05-18 N. Ramakrishnan , P. B. Sunil Kumar , John H. Ipsen

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2014-01-20 Brian Baingana , Georgios B. Giannakis

Particle Imaging Velocimetry (PIV) estimates the flow of fluid by analyzing the motion of injected particles. The problem is challenging as the particles lie at different depths but have similar appearance and tracking a large number of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Zhong Li , Jinwei Ye , Yu Ji , Hao Sheng , Jingyi Yu

Results: We present an application that enables the quantitative analysis of multichannel 5-D (x, y, z, t, channel) and large montage confocal fluorescence microscopy images. The image sequences show stem cells together with blood vessels,…

Volume visualization is a method that displays three-dimensional (3D) data in two-dimensional (2D) space. Using 3D datasets instead of 2D traditional images improves the visualization of anatomical structures, and volume visualization helps…

We present explicit expressions of the helicity conservation in nematic liquid crystal flows, for both the Ericksen-Leslie and Landau-de Gennes theories. This is done by using a minimal coupling argument that leads to an Euler-like equation…

Soft Condensed Matter · Physics 2010-10-18 François Gay-Balmaz , Cesare Tronci

The paper discusses numerical implementations of various inversion schemes for generalized V-line transforms on vector fields introduced in [6]. It demonstrates the possibility of efficient recovery of an unknown vector field from five…

Numerical Analysis · Mathematics 2023-11-20 Gaik Ambartsoumian , Mohammad Javad Latifi Jebelli , Rohit Kumar Mishra
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