用物理生成的合成数据训练网络,有效清除高速气体流动成像中的噪声。
Physics-Informed Synthetic Dataset and Denoising TIE-Reconstructed Phase Maps in Transient Flows Using Deep Learning
- 基于物理规律生成带噪声的合成相位图,模拟真实噪声特征。
- 在20帧真实数据上实现信背比提升13260%,喷流结构清晰度提高100.8%。
- 无需真实标注即可应用,适合高速瞬态流场成像研究者。
高速定量相位成像可非侵入式观测瞬态压缩气体流动与能量现象,但通过传输强度方程(TIE)重建的相位图会因逆拉普拉斯求解器引入空间相关低频伪影,掩盖喷流、激波前沿和密度梯度等关键流场结构。传统滤波方法失效,因信号与噪声占据重叠的空间频率范围,且每帧均为物理上唯一、不可重复的状态,无配对真值。本文提出一种物理引导的合成训练数据集:通过程序化生成符合物理规律的气体流动形态(包括压缩喷流、湍流涡旋场、密度前缘、周期性气泡及膨胀扇区),经前向TIE仿真后,再经逆拉普拉斯重建,生成逼真的噪声相位图。采用基于U-Net的卷积去噪网络仅在该合成数据上训练,评估于25,000帧/秒的真实相位图,展现出零样本泛化能力,在20帧上实现信背比提升13,260%,喷流区域结构清晰度提高100.8%。
原文摘要 · Abstract (English)
High-speed quantitative phase imaging enables non-intrusive visualization of transient compressible gas flows and energetic phenomena. However, phase maps reconstructed via the transport of intensity equation (TIE) suffer from spatially correlated low-frequency artifacts introduced by the inverse Laplacian solver, which obscure meaningful flow structures such as jet plumes, shockwave fronts, and density gradients. Conventional filtering approaches fail because signal and noise occupy overlapping spatial frequency bands, and no paired ground truth exists since every frame represents a physically unique, non-repeatable flow state. We address this by developing a physics-informed synthetic training dataset where clean targets are procedurally generated using physically plausible gas flow morphologies, including compressible jet plumes, turbulent eddy fields, density fronts, periodic air pockets, and expansion fans, and passed through a forward TIE simulation followed by inverse Laplacian reconstruction to produce realistic noisy phase maps. A U-Net-based convolutional denoising network trained solely on this synthetic data is evaluated on real phase maps acquired at 25,000 fps, demonstrating zero-shot generalization to real parallel TIE recordings, with a 13,260% improvement in signal-to-background ratio and 100.8% improvement in jet-region structural sharpness across 20 evaluated frames.
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