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基于衍生谱融合的离轴数字全息高分辨率重建

High-Resolution Reconstruction for Off-Axis Digital Holography Based on Fusion of Derivative Spectra
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摘要 针对离轴数字全息相位恢复质量受零级谱干扰严重的问题,提出一种基于Kronecker卷积衍生谱融合的离轴数字全息高分辨率重建算法。将离轴数字全息图和2×2常数矩阵进行Kronecker卷积,并对卷积后的全息图进行二维傅里叶变换,得到含原生谱和衍生谱的频谱图。根据零级谱的干扰情况,采用不同尺寸的带通滤波器选取多级衍生谱并进行数值重建。最后,采用图像融合技术将所得到的多个重建结果进行融合得到高分辨率重建图像。相较于现有的离轴数字全息重建算法,所提算法可在不增加离轴数字全息结构复杂度的前提下降低零级谱的干扰,从而获取更多的物体信息,实现高分辨率的相位重建。实验结果表明,所提算法计算过程简单,有效降低了零级谱对有效频谱信息的影响,实现了离轴数字全息高分辨率重建。 This study proposes a high-resolution reconstruction algorithm for off-axis digital holography based on Kronecker convolution-derived spectrum fusion to address the issue of severe interference from zero-order spectra during phase recovery.In this process,first,Kronecker convolution was performed on the off-axis digital hologram and a 2×2 constant matrix.Thereafter,two-dimensional Fourier transform was applied to the convolved hologram,producing a spectrogram containing the original and derived spectra.Depending on the interference level of the zero-order spectrum,bandpass filters of varying sizes were employed to select multilevel-derived spectra,followed by numerical reconstruction.Finally,image fusion technology was used to combine the multiple reconstruction results to produce high-resolution images.Compared with existing off-axis digital holographic reconstruction algorithms,the proposed algorithm reduces interference caused by zero-order spectra.It achieves this without increasing the complexity of off-axis digital holographic structures.This facilitates the retrieval of more object information and allows for high-resolution phase reconstruction.Experimental results show that the proposed algorithm simplifies calculations,significantly diminishes the influence of zeroorder spectra on effective spectral information,and achieves high-resolution reconstruction in off-axis digital holography.
作者 单明广 靳奇强 孟娜 殷建鑫 钟志 王立晶 刘磊 Shan Mingguang;Jin Qiqiang;Meng Na;Yin Jianxin;Zhong Zhi;Wang Lijing;Liu Lei(College of Information and Communication Engineering,Harbin Engineering University,Harbin 150001,Heilongjiang,China;Heilongjiang Collaborative Innovation Center of Advanced Intelligent Perception Technology,Harbin Engineering University,Harbin 150001,Heilongjiang,China)
出处 《激光与光电子学进展》 北大核心 2025年第12期45-53,共9页 Laser & Optoelectronics Progress
基金 黑龙江省自然科学基金重点项目(ZD2024F002) 国家自然科学基金(62375063) 哈尔滨工程大学特色学科基础研究稳定支持专项(KYWZ220240810)。
关键词 离轴数字全息 Kronecker卷积 图像融合 相位恢复 off-axis digital holography Kronecker convolution image fusion phase retrieval
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