Implicit Neural Representation for Dense Event-Based Imaging Velocimetry

This paper presents an Implicit Neural Representation method for Event-Based Imaging Velocimetry (INR-VG) to reconstruct dense velocity fields from sparse event streams. The core idea is to learn a mapping (multilayer perceptron) from spatial coordinates to flow velocities, v(x)=f(x;θ), which thereby enables dense velocity measurements at any desired spatial resolution. The neural network is optimized through test-time optimization by minimizing the alignment error between warped voxel grids of events. Extensive evaluations on synthetic datasets and real-world flows demonstrate that INR-VG achieves high accuracy (errors as low as 0.05 px/ms) and maintains robustness in challenging conditions where existing methods typically fail, including low event rates and large displacements, significantly outperforming optical-flow-based baselines. To the best of our knowledge, this work represents a successful application of implicit neural representations to event-based imaging velocimetry (EBIV), establishing a new paradigm for dense and robust event-based flow measurement. The implementation and experimental details are publicly available to support reproducibility and future research.

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Publication Details

Journal
Mathematics
Published
2026-02-05
DOI
https://doi.org/10.3390/math14030572
Primary Topic
Fluid Dynamics and Turbulent Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Implicit Neural Representation for Dense Event-Based Imaging Velocimetry

Jia Ai, Chen Zuo-bin, Yong Lee, Jie Li
Mathematics
Fluid Dynamics and Turbulent Flows
article

Implicit Neural Representation for Dense Event-Based Imaging Velocimetry

Jia Ai, Chen Zuo-bin, Yong Lee, Jie Li
article en

Abstract

This paper presents an Implicit Neural Representation method for Event-Based Imaging Velocimetry (INR-VG) to reconstruct dense velocity fields from sparse event streams. The core idea is to learn a mapping (multilayer perceptron) from spatial coordinates to flow velocities, v(x)=f(x;θ), which thereby enables dense velocity measurements at any desired spatial resolution. The neural network is optimized through test-time optimization by minimizing the alignment error between warped voxel grids of events. Extensive evaluations on synthetic datasets and real-world flows demonstrate that INR-VG achieves high accuracy (errors as low as 0.05 px/ms) and maintains robustness in challenging conditions where existing methods typically fail, including low event rates and large displacements, significantly outperforming optical-flow-based baselines. To the best of our knowledge, this work represents a successful application of implicit neural representations to event-based imaging velocimetry (EBIV), establishing a new paradigm for dense and robust event-based flow measurement. The implementation and experimental details are publicly available to support reproducibility and future research.

MathematicsVol. 14(3)
Wuhan University of Technology (CN)
Natural Science Foundation of Hubei Province
Openalex Percentile: Top 63%
Fluid Dynamics and Turbulent Flows
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