估计运动模糊图像方向角的数学模型研究
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摘要
从实拍的运动模糊图像出发,建立了数学模型来估计运动模糊的方向角.经理论推导,得出了运动模糊方向角、图像尺寸和频谱图像中平行条纹方向角三者的关系,将问题转化为估计频谱平行条纹方向角.在模型求解部分,分析了常用的Radon变换法以及两种改进方法即Gabor变换法和频谱分块法的不足,并提出了基于频谱边缘检测的改进方法.数值实验部分比较了三种方法,结果表明,方法的估计精度更高,具有更广泛的应用性.
Based on motion blurred images,the mathematical model to estimate the motion blur direction angle is presented.Through theoretical derivation,the relationships among m otion blur direction,image size and direction of parallel dark stripes in the spectrum images are derived,and then the problem is transformed to e s timate direction of parallel dark stripes in the spectrum images.In the section of model solution,the deficiencies of Radon transform,and two improved algorithms including Gabor transform method and spectrum sub-blocks method are analyzed,and then the improved algorithm based on edge detection of spectrum is presen ted. In the section of numerical experiments,the comparison results of the three methods proved that estimation accuracy of our im proved method is the highest,which shows that this method has a broader application.
Based on motion blurred images,the mathematical model to estimate the motion blur direction angle is presented.Through theoretical derivation,the relationships among m otion blur direction,image size and direction of parallel dark stripes in the spectrum images are derived,and then the problem is transformed to e s timate direction of parallel dark stripes in the spectrum images.In the section of model solution,the deficiencies of Radon transform,and two improved algorithms including Gabor transform method and spectrum sub-blocks method are analyzed,and then the improved algorithm based on edge detection of spectrum is presen ted. In the section of numerical experiments,the comparison results of the three methods proved that estimation accuracy of our im proved method is the highest,which shows that this method has a broader application.
引文
[1]Chan T F,Shen J.Image processing and analysis[M].Philadelphia:SIAM,2005.
[2]Moghaddam M E,Jamzad M.Blur identification in noisy images using Radon transform and power spectrum modeling[C]//IEEE 12 th International Workshop on Systems,Signal and Image Processing(IWSSIP),2005:349-354.
[3]TANAKA M,YONEJI K,OKUTOMI M.Motion blur parameter identification from a linearly blurred image[C]//ICCE 2007:International Conference on Consumer Electronics,Digest of Technical Papers Piscataway:IEEE,2007:1-2.
[4]Li Q,Yo shida Y.Parameter estimation and restoration for motion blurred images[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,1997,20(8):14-30.
[5]Moghaddam M E,and Jamzad M.Finding point spread function of motion blur using Radon transform and modeling the motion length[J].In Proceedings of the 4 th IEEE International Symposium on Signal Processing and Information Techno logy,2004,25(2):310-314.
[6]Lokhande R,Arya K V,and Gupta P.Identification of parameters and restoration of motion blurred images[J].Proceedings of the 2006 ACM symposium on Applied computing,2006,10(3):301-315.
[7]加春燕,崔丽,黄海洋.Gabor变换估计模糊角度[J].北京师范大学学报,2009,44(6):563-567.
[8]乐翔,程建,李民.一种改进的基于Radon变换的运动模糊图像参数估计方法[J].红外与激光工程,2011,40(5):963-969.
[9]孙兆林.Matlab 6.x图像处理[M].北京:清华大学出版社,2002.
[10]加春燕.运动模糊图像运动长度的频谱估计法[J].北京工业职业技术学报,2015,14(1):51-54.
[11]Huang H,Jia Ch,Huan Zh.On weak solution for an image denoising-deblurring model[J].Applied Mathematics,2009,24(3):81-86.
[2]Moghaddam M E,Jamzad M.Blur identification in noisy images using Radon transform and power spectrum modeling[C]//IEEE 12 th International Workshop on Systems,Signal and Image Processing(IWSSIP),2005:349-354.
[3]TANAKA M,YONEJI K,OKUTOMI M.Motion blur parameter identification from a linearly blurred image[C]//ICCE 2007:International Conference on Consumer Electronics,Digest of Technical Papers Piscataway:IEEE,2007:1-2.
[4]Li Q,Yo shida Y.Parameter estimation and restoration for motion blurred images[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,1997,20(8):14-30.
[5]Moghaddam M E,and Jamzad M.Finding point spread function of motion blur using Radon transform and modeling the motion length[J].In Proceedings of the 4 th IEEE International Symposium on Signal Processing and Information Techno logy,2004,25(2):310-314.
[6]Lokhande R,Arya K V,and Gupta P.Identification of parameters and restoration of motion blurred images[J].Proceedings of the 2006 ACM symposium on Applied computing,2006,10(3):301-315.
[7]加春燕,崔丽,黄海洋.Gabor变换估计模糊角度[J].北京师范大学学报,2009,44(6):563-567.
[8]乐翔,程建,李民.一种改进的基于Radon变换的运动模糊图像参数估计方法[J].红外与激光工程,2011,40(5):963-969.
[9]孙兆林.Matlab 6.x图像处理[M].北京:清华大学出版社,2002.
[10]加春燕.运动模糊图像运动长度的频谱估计法[J].北京工业职业技术学报,2015,14(1):51-54.
[11]Huang H,Jia Ch,Huan Zh.On weak solution for an image denoising-deblurring model[J].Applied Mathematics,2009,24(3):81-86.