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February 8, 2026Mathematics1 citationsOpen Access

Implicit Neural Representation for Dense Event-Based Imaging Velocimetry

JAJia AiJLJie LiCZChen Zuo-bin

Key Points

  • The aim is to create a method that reconstructs dense velocity fields from sparse event streams using implicit neural representation.
  • Developed a multilayer perceptron to map spatial coordinates to flow velocities.
  • Conducted test-time optimization to minimize alignment error between warped voxel grids.
  • Evaluated performance on synthetic datasets and real-world flows.
  • Achieved velocity measurement accuracy with errors as low as 0.05 px/ms.
  • Demonstrated robustness in low event rates and large displacements.
  • Outperformed traditional optical-flow-based methods.

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.

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Cite This Study

Ai et al. (2026) studied this question.

synapsesocial.com/papers/6988277b0fc35cd7a88463c9https://doi.org/10.3390/math14030572
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