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
计算全息图抗噪性能双指标评估
Dual-metric assessment of noise robustness in computer-generated holograms
  
DOI:
中文关键词:  计算全息图  PSNR  SSIM  噪声干扰  MATLAB仿真
英文关键词:computer-generated hologram  PSNR  SSIM  noise interference  MATLAB simulation
基金项目:
作者单位
李玉成 空军工程大学航空机务士官学校信阳464000 
张扬 空军工程大学航空机务士官学校信阳464000 
时俊杰 空军工程大学航空机务士官学校信阳464000 
高嵩 空军工程大学航空机务士官学校信阳464000 
张沐群 空军工程大学航空机务士官学校信阳464000 
AuthorInstitution
Li Yucheng Aviation Maintenance NCO Academy of Air Force Engineering University, Xinyang 464000, China 
Zhang Yang Aviation Maintenance NCO Academy of Air Force Engineering University, Xinyang 464000, China 
Shi Junjie Aviation Maintenance NCO Academy of Air Force Engineering University, Xinyang 464000, China 
Gao Song Aviation Maintenance NCO Academy of Air Force Engineering University, Xinyang 464000, China 
Zhang Muqun Aviation Maintenance NCO Academy of Air Force Engineering University, Xinyang 464000, China 
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中文摘要:
      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。
英文摘要:
      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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