Maximum likelihood extension for non-circulant deconvolution

作者: Javier Portilla

DOI: 10.1109/ICIP.2014.7025868

关键词: Boundary (topology)Artificial intelligenceDeconvolutionMathematicsGaussianCirculant matrixOblique caseTaperingComputer visionBlind deconvolutionImage restorationAlgorithm

摘要: Directly applying circular de-convolution to real-world blurred images usually results in boundary artifacts. Classic extension techniques fail provide likely results, terms of a boundary-condition observation model. Boundary reflection gives raise non-smooth features, especially when oblique oriented features encounter the image boundaries. Tapering boundaries support, or similar strategies (like constrained diffusion), provides smoothness on toroidal support; however this does not guarantee consistency with spectral properties blur (in particular, its zeros). Here we propose simple, yet effective, model-derived method for extending images, so that they become Gaussian We achieve artifact-free even under highly unfavorable conditions, other methods fail.

参考文章(7)
M. Sorel, Removing Boundary Artifacts for Real-Time Iterated Shrinkage Deconvolution IEEE Transactions on Image Processing. ,vol. 21, pp. 2329- 2334 ,(2012) , 10.1109/TIP.2011.2176344
Antonios Matakos, Sathish Ramani, Jeffrey A. Fessler, Image restoration using non-circulant shift-invariant system models international conference on image processing. pp. 3061- 3064 ,(2012) , 10.1109/ICIP.2012.6467546
J. Portilla, E. Gil-Rodrigo, D. Miraut, R. Suarez-Mesa, Condy: Ultra-fast high performance restoration using multi-frame L2-relaxed-L0 sparsity and constrained dynamic heuristics 2011 18th IEEE International Conference on Image Processing. pp. 1837- 1840 ,(2011) , 10.1109/ICIP.2011.6115823
S.J. Reeves, Fast image restoration without boundary artifacts IEEE Transactions on Image Processing. ,vol. 14, pp. 1448- 1453 ,(2005) , 10.1109/TIP.2005.854474
Renting Liu, Jiaya Jia, Reducing boundary artifacts in image deconvolution international conference on image processing. pp. 505- 508 ,(2008) , 10.1109/ICIP.2008.4711802
Javier Portilla, Image restoration through l0 analysis-based sparse optimization in tight frames international conference on image processing. pp. 3865- 3868 ,(2009) , 10.1109/ICIP.2009.5413975