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Mimicking natural tessellation patterns is a fascinating multi-disciplinary problem. Geometric methods aiming at reproducing such partitions on surface meshes are commonly based on the Voronoi model and its variants, and are often faced…

Graphics · Computer Science 2018-04-25 Rhaleb Zayer , Daniel Mlakar , Markus Steinberger , Hans-Peter Seidel

In energy system analysis, coupling models with mismatched spatial resolutions is a significant challenge. A common solution is assigning weights to high-resolution geographic units for aggregation, but traditional models are limited by…

Machine Learning · Computer Science 2026-03-20 Xuanhao Mu , Jakob Geiges , Nan Liu , Thorsten Schlachter , Veit Hagenmeyer

The Voronoi tessellation is a natural way of space segmentation, which has many applications in various fields of science and technology, as well as in social sciences and visual art. The varieties of the Voronoi tessellation methods are…

Astrophysics of Galaxies · Physics 2022-08-04 Irina Vavilova , Andrii Elyiv , Daria Dobrycheva , Olga Melnyk

Generating dense physical fields from sparse measurements is a fundamental question in sampling, signal processing, and many other applications. State-of-the-art methods either use spatial statistics or rely on examples of dense fields in…

Machine Learning · Statistics 2026-01-29 Ofek Aloni , Barak Fishbain

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

Optimization and Control · Mathematics 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

Variational Data Assimilation (DA) has been broadly used in engineering problems for field reconstruction and prediction by performing a weighted combination of multiple sources of noisy data. In recent years, the integration of deep…

Machine Learning · Computer Science 2023-10-26 Sibo Cheng , Che Liu , Yike Guo , Rossella Arcucci

Color image segmentation is a crucial step in many computer vision and pattern recognition applications. This article introduces an adaptive and unsupervised clustering approach based on Voronoi regions, which can be applied to solve the…

Computer Vision and Pattern Recognition · Computer Science 2016-04-05 R. Hettiarachchi , J. F. Peters

Reconstructing complex networks from measurable data is a fundamental problem for understanding and controlling collective dynamics of complex networked systems. However, a significant challenge arises when we attempt to decode structural…

Physics and Society · Physics 2015-11-20 Xiao Han , Zhesi Shen , Wen-Xu Wang , Zengru Di

Voronoi tessellation, also known as Voronoi diagram, is an important computational geometry technique that has applications in various scientific disciplines. It involves dividing a given space into regions based on the proximity to a set…

Computational Geometry · Computer Science 2024-12-17 Sergei Shumilin , Alexander Ryabov , Serguei Barannikov , Evgeny Burnaev , Vladimir Vanovskii

Wireless sensor networks (WSN) acts as the backbone of Internet of Things (IoT) technology. In WSN, field sensing and fusion are the most commonly seen problems, which involve collecting and processing of a huge volume of spatial samples in…

Signal Processing · Electrical Eng. & Systems 2019-06-19 Hui Wu , Zhaoyang Zhang , Chunxu Jiao , Chunguang Li , Tony Q. S. Quek

Reconstructing a dynamic target moving over a large area is challenging. Standard approaches for dynamic object reconstruction require dense coverage in both the viewing space and the temporal dimension, typically relying on multi-view…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Jun-Jee Chao , Volkan Isler

Reconstructing high-fidelity fluid flow fields from sparse sensor measurements is vital for many science and engineering applications but remains challenging because of dimensional disparities between state and observational spaces. Due to…

Fluid Dynamics · Physics 2025-12-11 Hiep Vo Dang , Phong C. H. Nguyen

The reconstruction of a high resolution image given a low resolution observation is an ill-posed inverse problem in imaging. Deep learning methods rely on training data to learn an end-to-end mapping from a low-resolution input to a…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Iman Marivani , Evaggelia Tsiligianni , Bruno Cornelis , Nikos Deligiannis

Many consequential real-world systems, like wind fields and ocean currents, are dynamic and hard to model. Learning their governing dynamics remains a central challenge in scientific machine learning. Dynamic Mode Decomposition (DMD)…

Machine Learning · Computer Science 2025-11-26 Yujin Kim , Sarah Dean

Accurate sensing of spatially distributed physical fields typically requires dense instrumentation, which is often infeasible in real-world systems due to cost, accessibility, and environmental constraints. Physics-based solvers address…

Machine Learning · Computer Science 2026-04-03 William Howes , Jason Yoo , Kazuma Kobayashi , Subhankar Sarkar , Farid Ahmed , Souvik Chakraborty , Syed Bahauddin Alam

Many applications in computational and experimental fluid mechanics require effective methods for reconstructing the flow fields from limited sensor data. However, this task remains a significant challenge because the measurement operator,…

Fluid Dynamics · Physics 2024-11-22 Phong C. H. Nguyen , Joseph B. Choi , Quang-Trung Luu

In this paper, we tackle the problem of localizing the source of a three-dimensional signal field with a team of mobile robots able to collect noisy measurements of its strength and share information with each other. The adopted strategy is…

Robotics · Computer Science 2024-09-11 Lara Briñón-Arranz , Martin Abou Hamad , Alessandro Renzaglia

Hyperspectral imaging offers new perspectives for diverse applications, ranging from the monitoring of the environment using airborne or satellite remote sensing, precision farming, food safety, planetary exploration, or astrophysics.…

Image and Video Processing · Electrical Eng. & Systems 2021-11-19 Théo Bodrito , Alexandre Zouaoui , Jocelyn Chanussot , Julien Mairal

Extreme sensor sparsity makes full-field reconstruction a fundamentally ill-posed problem in scientific sensing,where the goal is to infer physical fields from sparse measurements.In this regime,the posterior is severely underconstrained…

Machine Learning · Computer Science 2026-05-27 Letian Yi , Tingpeng Zhang , Mingyuan Zhou , Guannan Wang , Quanke Su , Zhilu Lai

There are a wide range of features that tactile contact provides, each with different aspects of information that can be used for object grasping, manipulation, and perception. In this paper inference of some key tactile features, tip…

Robotics · Computer Science 2018-05-22 Luke Cramphorn , John Lloyd , Nathan F. Lepora