用二维模型和准弗雷涅尔变换,让非视域成像更快更省内存。
Fast and Memory-efficient Non-line-of-sight Imaging with Quasi-Fresnel Transform
- 将隐藏物体建模为二维函数,利用准弗雷涅尔变换直接求解。
- 运行时间与内存消耗降低数个数量级,仍保持高质量成像。
- 适合移动设备和嵌入式系统,推动实时高分辨率成像应用。
非视域(NLOS)成像旨在通过分析中介表面的反射来重建隐藏物体。现有方法通常在三维空间中建模测量数据和隐藏场景,忽略了大多数隐藏物体本质上是二维的这一特性,导致计算成本高、内存消耗大,限制了实际应用,使轻量级设备上的实时、高分辨率成像难以实现。本文提出一种新方法,将隐藏场景表示为二维函数,并采用准弗雷涅尔变换建立测量数据与隐藏场景间的直接反演公式。该变换充分利用问题的二维特性,显著降低计算复杂度和内存需求。算法高效实现二维聚合数据间的快速变换,实现低内存开销下的快速隐藏物体重建。相比现有方法,本方案在保持成像质量的同时,将运行时间和内存需求降低数个数量级。内存占用的大幅减少不仅提升了计算效率,还使NLOS成像可在手机、嵌入式系统等轻量级设备上运行。我们预计该方法将推动实时、高分辨率NLOS成像的发展,并拓展其在更多平台的应用。
原文摘要 · Abstract (English)
Non-line-of-sight (NLOS) imaging seeks to reconstruct hidden objects by analyzing reflections from intermediary surfaces. Existing methods typically model both the measurement data and the hidden scene in three dimensions, overlooking the inherently two-dimensional nature of most hidden objects. This oversight leads to high computational costs and substantial memory consumption, limiting practical applications and making real-time, high-resolution NLOS imaging on lightweight devices challenging. In this paper, we introduce a novel approach that represents the hidden scene using two-dimensional functions and employs a Quasi-Fresnel transform to establish a direct inversion formula between the measurement data and the hidden scene. This transformation leverages the two-dimensional characteristics of the problem to significantly reduce computational complexity and memory requirements. Our algorithm efficiently performs fast transformations between these two-dimensional aggregated data, enabling rapid reconstruction of hidden objects with minimal memory usage. Compared to existing methods, our approach reduces runtime and memory demands by several orders of magnitude while maintaining imaging quality. The substantial reduction in memory usage not only enhances computational efficiency but also enables NLOS imaging on lightweight devices such as mobile and embedded systems. We anticipate that this method will facilitate real-time, high-resolution NLOS imaging and broaden its applicability across a wider range of platforms.
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