CAJ | 학술논문

针对湍流退化图像随机性的问题，提出了一种基于随机点扩散函数的多帧湍流退化图像自适应复原方法。首先介绍了随机点扩散函数的图像退化模型，并分析了点扩散函数随机性对图像复原造成的影响，建立了基于随机点扩散函数的多帧图像退化模型。在此基础上，建立了基于多帧退化图像的全变分复原模型，利用前向后向算子分裂法对模型进行求解，提高了算法的运算效率。然后，提出了一种新的自适应正则化参数选取方法，该方法利用全变分复原模型的目标函数计算正则化参数，当正则化参数收敛时，复原图像的峰值信噪比达到最大值，因此利用目标函数的相对差值作为自适应算法迭代终止的条件，可以获得最佳复原效果。最后通过实验分析，算法中退化图像的帧数应不大于10帧。实验结果表明：当取10帧退化图像时，AFBS算法运算时间与单帧的FBS算法相当，信噪比增益为1．4 dB。本文算法对图像噪声有明显的抑制作用，对湍流退化图像可以获得较好的复原效果。
침대단류퇴화도상수궤성적문제，제출료일충기우수궤점확산함수적다정단류퇴화도상자괄응복원방법。수선개소료수궤점확산함수적도상퇴화모형，병분석료점확산함수수궤성대도상복원조성적영향，건립료기우수궤점확산함수적다정도상퇴화모형。재차기출상，건립료기우다정퇴화도상적전변분복원모형，이용전향후향산자분렬법대모형진행구해，제고료산법적운산효솔。연후，제출료일충신적자괄응정칙화삼수선취방법，해방법이용전변분복원모형적목표함수계산정칙화삼수，당정칙화삼수수렴시，복원도상적봉치신조비체도최대치，인차이용목표함수적상대차치작위자괄응산법질대종지적조건，가이획득최가복원효과。최후통과실험분석，산법중퇴화도상적정수응불대우10정。실험결과표명：당취10정퇴화도상시，AFBS산법운산시간여단정적FBS산법상당，신조비증익위1．4 dB。본문산법대도상조성유명현적억제작용，대단류퇴화도상가이획득교호적복원효과。
As the turbulence-degraded images are stochastic, an adaptive restoration approach of multi-frame turbulence-degraded images was proposed based on stochastic Point Spread Function( PSF) .Firstly, an image degradation model of stochastic PSF was introduced, and the influence of the model on the image restoration was analyzed.The degradation model of multi-frame images based on stochastic PSF was established.On this basis, the TV restoration model based on multi-frame images was established.In order to improve the compu-tational efficiency of the algorithm, the model was solved by Forward-Backward Splitting( FBS) operator.Then a new adaptive selection method of regularization parameter was proposed.When the regularization parameter <br> which was calculated by the objective function of the TV model was convergent, the Peak Signal-to-Noise Ratio ( PSNR) of restoration image reached the maximum value.In order to get the best restoration effect, the rela-tive error of the objective function was used as the iterative termination condition of the adaptive algorithm.Fi-nally, the number of degraded images should be no more than 10 frames through the experimental analysis. Experimental results show that the ISNR of the AFBS algorithm has increased 1.4 dB more than the FBS algo-rithm based on single frame while the computing time is comparative when the number of degraded images was 10 frames.The proposed algorithm has an obvious inhibition on the noises, and it can obtain a better restora-tion effect on turbulence-degraded images.