基于频谱边缘检测和Radon 变换估计运动模糊图像的方向

为了准确估计运动模糊图像的方向，在理论推导部分，以定积分、Fourier 变换和 Sinc 函数的性质为依据，得出了运动模糊方向、图像尺寸和频谱图像平行条纹方向三者的关系。在算法优化部分，系统分析了Radon 变换法、Gabor 变换法和频谱分块法的原理和不足，并提出了基于频谱边缘检测和Radon 变换的改进算法。在数值实验部分，编写Matlab 程序对几种方法进行了测试和比较，结果表明，该方法的估计精度最高，更适用于估计运动模糊图像的方向。

Direction Estimation of Motion Blurred Images Based on Edge Detection of Spectrum and Radon Transform

To accurately estimate direction of motion blurred images, in the part of theoretical derivation, the relationships among motion blur direction, image size and direction of parallel dark stripes in the spectrum images are derived based on knowledge of definite integral, Fourier transform and the Sinc function. In the part of algorithm optimization, the principle and deficiency of Radon transform, Gabor transform and spectrum sub–blocks method are analyzed. And then the improved algorithm based on edge detection of spectrum and Radon transform is presented. In the part of numerical experiments, by use of Matlab programs, comparison results of the three methods proved the accuracy of our improved method is the highest, which shows our method is more suitable for estimating direction of motion blurred images.