基于稀疏表示的激光光斑复原方法

Laser spot restoration method based on sparse representation

  • 摘要: 使用探测器阵列对远场激光光斑分布进行测量,是目前评价激光大气传输特性以及激光发射系统性能的重要方法。利用阵列探测器对高能激光系统性能进行评估,需要准确复原探测器测量所得的激光远场光斑。介绍了一种基于字典学习的阵列探测器激光光斑复原方法。首先利用改进后的线性插值算法对原始低采样光斑进行插值,其次介绍了K-SVD(K-singular value decomposition)字典学习算法,将所提方法运用到插值后的图像复原中。此外,用峰值信噪比(peak signal-to-noise ratio, PSNR)和光斑质心偏移量对复原图像进行量化对比。该算法复原的图像PSNR比传统算法高出4 dB~5 dB,光斑质心偏差量在x轴和y轴方向与传统算法相比分别降低了14.7%和12.2%。实验结果表明,所提方法在视觉和量化指标上都取得了良好的光斑图像复原效果。

     

    Abstract: An array of detectors was used to measure the distribution of laser spots in the far field, which is an important method for evaluating the laser atmospheric transmission characteristics and the performance of laser emission systems. To evaluate the performance of high-energy laser systems using array detectors, it is necessary to accurately restore the measured far-field laser spots. A laser spot restoration method based on dictionary learning for array detectors was introduced. Firstly, an improved linear interpolation algorithm was used to interpolate the original low-sampled spots. The K-singular value decomposition (K-SVD) dictionary learning algorithm was then implemented to restore the interpolated image, with peak signal-to-noise ratio (PSNR) and centroid shift of the spot being used for quantitatively comparison. The proposed algorithm yields PSNRs of restored images 4 dB~5 dB higher than those with traditional algorithms, and the centroid deviation in both x-axis and y-axis directions is decreased by 14.7% and 12.2%, respectively, when compared to the latter. Experimental results demonstrate that this method produces satisfactory restoration effects on visual and quantitative indicators of spot images.

     

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