提出了一种旋转运动模糊恢复算法,用来解决航空成像时旋转运动模糊的实时恢复问题。对旋转运动模糊这种具有异速像移的空间变化模糊进行了分析,并推导出旋转运动模糊的数学模型。用基于Bresenham画圆法的坐标转换方法将旋转圆弧上的空间变化模糊转变为常见的线性空间不变模糊,并使用一维维纳滤波对圆弧轨迹上的像素点进行模糊恢复。实验结果显示:本文算法在GPU处理平台下用3.31 ms即能恢复一帧1 024×1 024,8 bit旋转运动模糊图像,且极好地恢复了图像上的细节信息,恢复图像的峰值信噪比(PSNR)为28.76。算法的速度及效果表明本文所提出的算法具有较大的实用价值。

The key to the restoration of rotational motion blurred image is how to restore the image under a low cost and to correct the irreversibility of the degradation function matrix. Based on the special qualities of degradation function matrix and precise deduction in space-domain, we present a new approach using gradient-loading for restoration of rotational blurred image. By easily adding a gradient operator, the irreversibility of the original matrix is corrected and can be applied for inverse filtering then. Gradient-loading is the optimized approach which combines the advantages of both the approaches using constrained least square filtering and traditional diagonal-loading. Compared with the approach using least square filtering, its peak signal-to-noise ratio (PSNR) is improved from 3.18 to 6.46 dB, while the computing time is reduced to 1/2-1/3. Experimental results demonstrate the effectiveness, noise-resistibility, robustness, and low complexity of this approach, which make it more suitable for real-time environment.