SHI Ming-zhu, XU Ting-fa, ZHANG Kun. Total variation image restoration for mixed blur in moving image[J]. Editorial Office of Optics and Precision Engineering, 2011,19(8): 1973-1981
SHI Ming-zhu, XU Ting-fa, ZHANG Kun. Total variation image restoration for mixed blur in moving image[J]. Editorial Office of Optics and Precision Engineering, 2011,19(8): 1973-1981 DOI: 10.3788/OPE.20111908.1973.
Total variation image restoration for mixed blur in moving image
In order to restore the image in the video frame of a moving image
the mixed blur that combines two common blur types
motion blur and defocus blur
was discussed. Firstly
blur types were determined according to the difference in spectrum features and the Point Spread Function (PSF) was estimated quantitatively using the cepstrum analysis. Blur parameters in simulation experiments were chosen based on engineering to verify the accuracy of the cepstrum analysis in the PSF estimation method. Then
a gradient fidelity term was coupled with total variation image restoration algorithm to constrain the impact of the PSF estimation error on image restoration and the Split-Bregman algorithm that is compatible with the
L
1
norm was adopted to accomplish the numerical computing in restoration algorithm. Finally
the simulation experiments and the real image restoration were carried to verify the performance of the algorithm. The results show that cepstrum analysis for estimating the PSF has an accuracy rate of 90%.The proposed algorithm can preserve edges and details
inhibit the ringing effect effectively and shows its Peak Signal to Noise Rate (PSNR) to be 28.92 dB.
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references
王永攀,冯华君,徐之海,等. 模糊核估计不准确下的振铃效应修正[J]. 光电工程, 2009,36(8):105-111. WANG Y P, FENG H J, XU ZH H, et al.. Reducing impact of the ring artifacts under the condition of the inaccurate blurring kernel[J]. Opto-Electronic Engineering, 2009,36(8):105-111. (in Chinese)[2] 段彩艳,李一民,潘晓露,等. 基于频谱分析的退化图像模糊类型识别[J]. 云南大学学报(自然科学版), 2009,31(S2):9-11. DUAN C Y, LI Y M, PAN X L, et al.. Blur identification of the degraded images based on Fourier analysis[J]. Journal of Yunnan University(Natural Sciences Edition),2009,31(S2):9-11. (in Chinese)[3] 许元男,赵远,刘丽萍,等. 基于双谱的点扩展函数参数辨识[J]. 光电工程, 2009,36(5):72-76. XU Y N, ZHAO Y, LIU L P, et al.. Bispectrum-based parameter identification of the point spread function [J]. Opto-Electronic Engineering, 2009,36(5):72-76. (in Chinese)[4] 赵琳,金伟其,黄有为,等. 离焦模糊图像超分辨力盲复原算法分析[J]. 光学技术, 2010,36(1):75-78. ZHAO L, JIN W Q, HUANG Y W, et al.. Analysis on super-resolution blind restoration algorithm of defocus blurred image [J].Optical Technique, 2010,36(1):75-78. (in Chinese)[5] 郭永彩,郭瑞瑞,高潮. 运动模糊图像点扩展函数的参数鉴别[J]. 仪器仪表学报, 2010,31(5):1052-1057. GUO Y C, GUO R R, GAO CH. Identification of blur parameters from motion blurred images[J]. Chinese Journal of Scientific Instrument, 2010,31(5):1052-1057. (in Chinese)[6] 王晶,李仕. 运动模糊视频图像在图形处理器平台上的实时恢复[J]. 光学 精密工程, 2010, 18(10):2262-2268. WANG J, LI SH. Real-time restoration of motion-blurred video images on GPU [J]. Opt. Precision Eng., 2010,18(10):2262-2268. (in Chinese)[7] DOBES M, MACHALA L. Blurred image restoration: a fast method of finding the motion length and angle [J]. Digital Signal Processing, 2010,20(6):1677-1686.[8] KANO H, HATANAKA H, FUKUMOTO S, et al.. Motion blur estimation of handheld camera using regular- and short-exposure image pair . Proceedings of the Sixth IEEE International Conference on Image Processing, Cairo, Egypt: ICIP, 2009:1309-1312.[9] ZHANG L X, XIA D SH. Staircase effect alleviation by coupling gradient fidelity term [J]. Image and Vision Computing, 2008,26(8):1163-1170.[10] SHI M ZH, XU T F. Adaptive total variation image restoration coupling with a gradient fidelity term . Proceedings of the Third International Congress on Image and Signal Processing (CISP), Yantai, P.R. China: CISP, 2010:821-825.[11] RUDIN L, OSHER S, FATEMI E. Nonlinear total variation based noise removal algorithms [J]. Physica D, 1992, 60:259-268.[12] VOGEL C R, OMAN M E. Iterative methods for total variation denoising [J]. SIAM Journal on Scientific Computing, 1996,17(1):227-238.[13] CHAN T F, GOLUB G H, MULET P. A nonlinear primal-dual method for total variation-based image restoration [J]. SIAM Journal on Scientific Computing, 1998, 20(6):1964-1977.[14] GOLDSTEIN T, OSHER S. The split bregman method for L1-regularized problems [J]. SIAM Journal on Imaging Science, 2009,2(2):323-343.[15] LIU X W, HUANG L H. Split bregman iteration algorithm for total bounded variation regularization based image deblurring [J].Journal of Mathematical Analysis and Applications, 2010, 372(2):486-495.[16] SETZER S, STEIDL G, TEUBER T. Deblurring poissonian images by split bregman techniques [J]. Journal of Visual Communication and Image Representation, 2010,21(3):193-199.[17] MING L. A fast algorithm for color image enhancement with total variation regularization [J]. Science China-Information Science, 2010, 53(9):1913-1916.[18] CAI J F, OSHER S, SHEN Z W. Split bregman methods and frame based image restoration [J]. Multiscale Modeling and Simulation, 2009,8(2):337-369.[19] YI D,LEE S. Fourth-order partial differential equations for image enhancement[J]. Applied Mathematics and Comjputation, 2006, 175: 430-440.[20] 李仕,张葆,孙辉. 航空多重模糊图像的恢复[J]. 光学 精密工程, 2009,17(5): 1161-1170. LI SH, ZHANG B, SUN H. Restoration of aerial multiple blurred images [J]. Opt. Precision Eng., 2009,17(5):1161-1170. (in Chinese)[21] 张玉叶, 周晓东,王春歆. 应用像素运动模糊特征分割的空间移变降质复原[J]. 光学 精密工程, 2009,17(5):1119-1126. ZHANG Y Y, ZHOU X D, WANG CH X. Space-variant blurred image restoration based on pixel motion-blur character segmentation [J]. Opt. Precision Eng., 2009,17(5):1119-1126.