改进矢量外推Richardson-Lucy算法在波前编码图像复原中的应用
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摘要
将指数修正嵌入到矢量外推框架中,构建了一种改进的矢量外推Richardson-Lucy算法。以结构相似度因子作为评价指标,优化彩色图像三通道最佳迭代次数,确定矢量外推加速参量与指数修正加速参量最优组合.试验结果表明:改进的矢量外推Richardson-Lucy算法总迭代次数减少了78.9%,能有效抑制噪声放大,无需后续处理就能获得视觉质量更好的复原效果.该研究可为Richardson-Lucy算法在实时波前编码成像中的应用提供参考.
An improved vector extrapolation based on Richardson-Lucy algorithm was designed by embedding the modified exponent into the vector extrapolation.The structural similarity index was used as a criterion to determine the optimum iterations and optimum combinations of two acceleration factors.Experimental results show that total iterations are reduced approximately 78.9%and visually satisfactory restoration results can be obtained without denoising the restored image further.This work provides a reference for the development of the Richardson-Lucy algorithm in the application of real-time wave-front coded imaging.
An improved vector extrapolation based on Richardson-Lucy algorithm was designed by embedding the modified exponent into the vector extrapolation.The structural similarity index was used as a criterion to determine the optimum iterations and optimum combinations of two acceleration factors.Experimental results show that total iterations are reduced approximately 78.9%and visually satisfactory restoration results can be obtained without denoising the restored image further.This work provides a reference for the development of the Richardson-Lucy algorithm in the application of real-time wave-front coded imaging.
引文
[1] DOWSKI E R.Extended depth of field through wave-front coding[J].Applied Optics,1995,34(11):1859-1866.
[2] SHERIF S S,CATHEY W T,DOWSKI E R.Phase plate to extend the depth of field of incoherent hybrid imaging systems[J].Applied Optics,2004,43(13):2709.
[3] ZHAO Hui,LI Ying-cai.Optimized sinusoidal phase mask to extend the depth of field of an incoherent imaging system[J].Optics Letters,2010,35(2):267-269.
[4] YANG Qing-guo,LIU Li-ren,SUN Jian-feng.Optimized phase pupil masks for extended depth of field[J].Optics Communications,2007,272(1):56-66.
[5] SAUCEDA A,OJEDACASTANEDA J.High focal depth with fractional-power wave fronts[J].Optics Letters,2004,29(6):560-562.
[6] CARON N,SHENG Yun-long.Polynomial phase masks for extending the depth of field of a microscope[J].Applied Optics,2008,47(22):E39-E43.
[7] SUNG H Y,YANG S S,CHANG H.Design of mobile phone lens with extended depth of field based on point-spread function focus invariance[C].Novel Optical Systems Design and Optimization XI.International Society for Optics and Photonics,2008,7061:706107.
[8] NHU L V,KUANG Cui-fan,LIU Xu.Extended depth-of field imaging by both radially symmetrical conjugating phase masks with spatial frequency post-processing[J].Optics Communications,2018,411:80-87.
[9] ANDREWSHC,HUNTB R.Digital image restoration[M].Prentice-Hall,Englewood Cliffs,NJ,1997.
[10] CARASSO A S,BRIGHT D S,VLADAR A E.APEX method and real-time blind deconvolution of scanning electron microscope imagery[J].Optical Engineering,2002,41(10):2499-2515.
[11]耿则勋,陈波,王振国,等.自适应光学图像复原理论与方法[M].科学出版社,2014.
[12]卓力,王素玉,李晓光.图像视频的超分辨率复原[M].人民邮电出版社,2011.
[13]邹谋炎.反卷积和信号复原[M].国防工业出版社,2001.
[14] RICHARDSON W H.Bayesian-based iterative method of image restoration[J].Journal of the Optical Society of America,1972,62(1):55-59.
[15] LUCY L B.An iterative technique for the rectification of observed distributions[J].The Astronomical Journal,1974,79(6):745.
[16] FISH D A,BRINICOMBE A M,PIKE E R,et al.Blind deconvolution by means of the Richardson–Lucy algorithm[J].Journal of the Optical Society of America A,1995,12(1):58-65.
[17] ZHAO Hui,WEI Jing-xuan,PANG Zhi-hai,et al.Wave-front coded super-resolution imaging technique[J].Infrared and Laser Engineering,2016,45(4):0422003.赵惠,魏静萱,庞志海,等.波前编码大焦深超分辨成像技术[J].红外与激光工程,2016,45(4):0422003.
[18] BIGGS D S C,ANDREWS M.Acceleration of iterative image restoration algorithms[J].Applied Optics,1997,36(8):1766-1775.
[19] SINGH M K,TIWARY U S,KIM Y H.An adaptively accelerated Lucy-Richardson method for image deblurring[J].Eurasip Journal on Advances in Signal Processing,2008,2008:52.
[20] NEELAMANI R,CHOI H,BARANIUK R.ForWaRD:Fourier-wavelet regularized deconvolution for ill-conditioned systems[J].IEEE Transactions on Signal Processing,2004,52(2):418-433.
[21] GHAEL S,SAYEED A M,BARANIUK R G.Improved wavelet denoising via empirical Wiener filtering[C].SPIE Technical Conference on Wavelet Applications in Signal Processing.1997,3169:389-399.
[22] WANG Z,BOVIK A C,SHEIKH H R,et al.Image quality assessment:from error visibility to structural similarity[J].IEEE Transactions on Image Processing,2004,13(4):600-612.
[23] LI Chao-feng,BOVIK A C.Three-component weighted structural similarity index[C].Image quality and system performance VI,International Society for Optics and Photonics,2009,7242:72420Q.
[24] WHITE R L.Image restoration using the damped Richardson-Lucy method[C].Instrumentation in Astronomy VIII,International Society for Optics and Photonics,1994,2198:1342-1349.
[25] ZHANG K B,GAO X,TAO D,et al.Single image super-resolution with non-local means and steering kernel regression[J].IEEE Transactions on Image Processing,2012,21(11):4544-4556.
[26]唐建新.图像复原正则化方法研究[D].武汉:华中科技大学,2006.
[2] SHERIF S S,CATHEY W T,DOWSKI E R.Phase plate to extend the depth of field of incoherent hybrid imaging systems[J].Applied Optics,2004,43(13):2709.
[3] ZHAO Hui,LI Ying-cai.Optimized sinusoidal phase mask to extend the depth of field of an incoherent imaging system[J].Optics Letters,2010,35(2):267-269.
[4] YANG Qing-guo,LIU Li-ren,SUN Jian-feng.Optimized phase pupil masks for extended depth of field[J].Optics Communications,2007,272(1):56-66.
[5] SAUCEDA A,OJEDACASTANEDA J.High focal depth with fractional-power wave fronts[J].Optics Letters,2004,29(6):560-562.
[6] CARON N,SHENG Yun-long.Polynomial phase masks for extending the depth of field of a microscope[J].Applied Optics,2008,47(22):E39-E43.
[7] SUNG H Y,YANG S S,CHANG H.Design of mobile phone lens with extended depth of field based on point-spread function focus invariance[C].Novel Optical Systems Design and Optimization XI.International Society for Optics and Photonics,2008,7061:706107.
[8] NHU L V,KUANG Cui-fan,LIU Xu.Extended depth-of field imaging by both radially symmetrical conjugating phase masks with spatial frequency post-processing[J].Optics Communications,2018,411:80-87.
[9] ANDREWSHC,HUNTB R.Digital image restoration[M].Prentice-Hall,Englewood Cliffs,NJ,1997.
[10] CARASSO A S,BRIGHT D S,VLADAR A E.APEX method and real-time blind deconvolution of scanning electron microscope imagery[J].Optical Engineering,2002,41(10):2499-2515.
[11]耿则勋,陈波,王振国,等.自适应光学图像复原理论与方法[M].科学出版社,2014.
[12]卓力,王素玉,李晓光.图像视频的超分辨率复原[M].人民邮电出版社,2011.
[13]邹谋炎.反卷积和信号复原[M].国防工业出版社,2001.
[14] RICHARDSON W H.Bayesian-based iterative method of image restoration[J].Journal of the Optical Society of America,1972,62(1):55-59.
[15] LUCY L B.An iterative technique for the rectification of observed distributions[J].The Astronomical Journal,1974,79(6):745.
[16] FISH D A,BRINICOMBE A M,PIKE E R,et al.Blind deconvolution by means of the Richardson–Lucy algorithm[J].Journal of the Optical Society of America A,1995,12(1):58-65.
[17] ZHAO Hui,WEI Jing-xuan,PANG Zhi-hai,et al.Wave-front coded super-resolution imaging technique[J].Infrared and Laser Engineering,2016,45(4):0422003.赵惠,魏静萱,庞志海,等.波前编码大焦深超分辨成像技术[J].红外与激光工程,2016,45(4):0422003.
[18] BIGGS D S C,ANDREWS M.Acceleration of iterative image restoration algorithms[J].Applied Optics,1997,36(8):1766-1775.
[19] SINGH M K,TIWARY U S,KIM Y H.An adaptively accelerated Lucy-Richardson method for image deblurring[J].Eurasip Journal on Advances in Signal Processing,2008,2008:52.
[20] NEELAMANI R,CHOI H,BARANIUK R.ForWaRD:Fourier-wavelet regularized deconvolution for ill-conditioned systems[J].IEEE Transactions on Signal Processing,2004,52(2):418-433.
[21] GHAEL S,SAYEED A M,BARANIUK R G.Improved wavelet denoising via empirical Wiener filtering[C].SPIE Technical Conference on Wavelet Applications in Signal Processing.1997,3169:389-399.
[22] WANG Z,BOVIK A C,SHEIKH H R,et al.Image quality assessment:from error visibility to structural similarity[J].IEEE Transactions on Image Processing,2004,13(4):600-612.
[23] LI Chao-feng,BOVIK A C.Three-component weighted structural similarity index[C].Image quality and system performance VI,International Society for Optics and Photonics,2009,7242:72420Q.
[24] WHITE R L.Image restoration using the damped Richardson-Lucy method[C].Instrumentation in Astronomy VIII,International Society for Optics and Photonics,1994,2198:1342-1349.
[25] ZHANG K B,GAO X,TAO D,et al.Single image super-resolution with non-local means and steering kernel regression[J].IEEE Transactions on Image Processing,2012,21(11):4544-4556.
[26]唐建新.图像复原正则化方法研究[D].武汉:华中科技大学,2006.