arXiv:2411.06357eess.IV2024-11

通过扩散光场模型,从强散射中恢复被掩没的信号。

A Diffuse Light Field Imaging Model for Forward-Scattering Photon-Coded Signal Retrieval

  • 基于辐射传输理论,将前向散射光视为可重构信号
  • 在极低信噪比下仍能重建目标物体,突破传统极限
  • 适合强散射环境下的成像研究者使用

散射成像常因散射噪声导致信噪比(SNR)极低而受阻。光场成像虽能有效抑制噪声并捕获更多球面光子作为信号,但在超强散射环境下,仅靠稀疏的球面信号仍不足。受辐射传输理论启发,本文提出一种扩散光场成像模型(DLIM),利用光场成像技术从前向散射光子中提取信号,以应对超强散射带来的低信噪比挑战。该模型旨在基于扩散方程,从前向散射光子中恢复球面光子信号作为源项。DLIM包含两个核心过程:辐射分布建模与扩散光场近似。辐射建模采用三平面参数化方法分析散射光场图像中的辐射分布,求解描述散射光场脉冲响应的4维辐射核;随后,将散射光场图像合成满足前向散射光子扩散方程的扩散源,并在成像空间中以Neumann边界条件求解。这是首个物理感知的散射光场成像模型,将传统光场成像框架从自由空间扩展至漫射空间。大量实验表明,即使散射光场图像退化为随机噪声,DLIM仍能成功重建目标物体。

原文摘要 · Abstract (English)

Scattering imaging is often hindered by extremely low signal-to-noise ratios (SNRs) due to the prevalence of scattering noise. Light field imaging has been shown to be effective in suppressing noise and collect more ballistic photons as signals. However, to overcome the SNR limit in super-strong scattering environments, even with light field framework, only rare ballistic signals are insufficient. Inspired by radiative transfer theory, we propose a diffuse light field imaging model (DLIM) that leverages light field imaging to retrieve forward-scattered photons as signals to overcome the challenges of low-SNR imaging caused by super-strong scattering environments. This model aims to recover the ballistic photon signal as a source term from forward-scattered photons based on diffusion equations. The DLIM consists of two main processes: radiance modeling and diffusion light-field approximation. Radiate modeling analyzes the radiance distribution in scattering light field images using a proposed three-plane parameterization, which solves a 4-D radiate kernel describing the impulse function of scattering light field. Then, the scattering light field images synthesize a diffuse source satisfying the diffusion equation governing forward scattering photons, solved under Neumann boundary conditions in imaging space. This is the first physically-aware scattering light field imaging model, extending the conventional light field imaging framework from free space into diffuse space. The extensive experiments confirm that the DLIM can reconstruct the target objects even when scattering light field images are reduced as random noise at extremely low SNRs.

光场成像散射成像扩散模型低信噪比

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