用SIREN网络无网格重建压力场,噪声下更稳定。
Pressure Field Reconstruction with SIREN: A Mesh-Free Approach for Image Velocimetry in Complex Noisy Environments
- 用SIREN作为隐式神经表示,直接重建压力场,无需网格连接
- 在高噪声和非结构化网格下表现优于传统方法,误差更低
- 可调整网络结构过滤速度数据噪声,适合复杂环境应用
本文提出一种基于SIREN(正弦表示网络)的新型压力场重建方法,用于图像测速数据。与近期提出的单次矩阵全域积分法(OS-MODI)和格林函数积分法(GFI)相比,该方法在无噪声、规则网格下表现良好,但更显著的优势在于噪声环境下仍能稳定工作。传统方法在非结构化网格或高纵横比单元中因病态单元问题而失效,而SIREN为无网格方法,不依赖内在网格连接,避免了此类挑战。此外,通过调整SIREN架构,可有效滤除测速数据中的固有噪声。实验表明,该方法在复杂噪声环境中具备更强鲁棒性,为无网格压力重建提供了新路径。
原文摘要 · Abstract (English)
This work presents a novel approach for pressure field reconstruction from image velocimetry data using SIREN (Sinusoidal Representation Network), emphasizing its effectiveness as an implicit neural representation in noisy environments and its mesh-free nature. While we briefly assess two recently proposed methods - one-shot matrix-omnidirectional integration (OS-MODI) and Green's function integral (GFI) - the primary focus is on the advantages of the SIREN approach. The OS-MODI technique performs well in noise-free conditions and with structured meshes but struggles when applied to unstructured meshes with high aspect ratio. Similarly, the GFI method encounters difficulties due to singularities inherent from the Newtonian kernel. In contrast, the proposed SIREN approach is a mesh-free method that directly reconstructs the pressure field, bypassing the need for an intrinsic grid connectivity and, hence, avoiding the challenges associated with ill-conditioned cells and unstructured meshes. This provides a distinct advantage over traditional mesh-based methods. Moreover, it is shown that changes in the architecture of the SIREN can be used to filter out inherent noise from velocimetry data. This work positions SIREN as a robust and versatile solution for pressure reconstruction, particularly in noisy environments characterized by the absence of mesh structure, opening new avenues for innovative applications in this field.
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