计算全息图抗噪性能双指标评估
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空军工程大学航空机务士官学校信阳464000

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O438.1;TN27

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Dual-metric assessment of noise robustness in computer-generated holograms
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Aviation Maintenance NCO Academy of Air Force Engineering University, Xinyang 464000, China

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    摘要:

    针对计算全息技术在噪声环境下再现像质量退化的问题,通过构建峰值信噪比(peak signal-to-noise ratio, PSNR)和 结构性相似指数测量(structural similarity index measure,SSIM) 的双指标评价体系,系统研究了噪声对四类典型计算全息图再现质量的影响规律。基于MATLAB仿真平台,对比分析了迂回相型(罗曼Ⅲ型)、修正型离轴参考光(博奇法及李氏编码)、相息图及计算全息干涉图在不同噪声系数下的性能表现。研究结果表明,噪声系数与再现像质量存在明显相关性,PSNR值随噪声系数增大呈下降趋势,且在低噪声区间(ef1≤0.3)下降较为显著;SSIM指标整体表现出更强的稳定性,特别是在修正型离轴参考光编码中表现优异;编码策略的优化能有效提升抗噪性能,如李氏编码通过正交分量分解与多级灰度量化可在ef1=1.0时保持PSNR约为19 dB,罗曼Ⅲ型编码通过增大通光孔宽度可使PSNR提升94.2%;连续型全息图在细节保持方面优于二值化全息图,但二值化方法在特定应用场景中仍具实用价值。该研究为不同噪声环境下计算全息编码方案的选择提供了理论依据。

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    This paper addresses the issue of image quality degradation in reconstructed holograms under noisy conditions through computational holography. By establishing a dual-metric evaluation system based on peak signal-to-noise ratio (PSNR) and structural similarity index measure(SSIM), we systematically investigate the influence of noise on the reconstruction quality of four typical types of computer-generated holograms. Based on MATLAB simulation platform, a comparative analysis is conducted on the performance of detour-phase holograms (Lohmann type Ⅲ), modified off-axis reference beam encoding (Burch’s and Lee’s encoding), kinoforms, and computer-generated holographic interferograms under different noise coefficients. The results indicate a clear correlation between the noise coefficient and the quality of reconstructed image, the PSNR values decrease with increasing noise levels, with a more pronounced decline observed in the low-noise range (ef1≤0.3). Moreover, the SSIM metric demonstrates greater overall stability, particularly excelling in modified off-axis reference beam encoding methods. Optimization of encoding strategies effectively enhances noise resistance—for instance, Lee’s encoding maintains a PSNR of approximately 19 dB at ef1=1.0 through orthogonal component decomposition and multi-level grayscale quantization, while Lohmann type Ⅲ encoding achieves a 94.2% improvement in PSNR by increasing the aperture width. Although continuous-tone holograms outperform binary holograms in detail retention, binary methods remain practically valuable in specific application scenarios. This study provides a theoretical basis for selecting computer-generated hologram (CGH) encoding schemes under various noise environments.

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李玉成,张扬,时俊杰,高嵩,张沐群.计算全息图抗噪性能双指标评估[J].电子测量与仪器学报,2026,40(2):267-280

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  • 在线发布日期: 2026-04-30
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