Learning scene-aware image priors with high-order Markov random fields

Many methods have been proposed to learn image priors from natural images for the ill-posed image restoration tasks. However, many prior learning algorithms assume that a general prior distribution is suitable for over all kinds of images. Since the contents of the natural images and the corresponding low-level statistical characteristics vary from scene to scene, we argue that learning a universal generative prior for all natural images may be imperfect. Although the universal generative prior can remove artifacts and reserve a natural smoothness in image restoration, it also tends to introduce unreal flatness and clutter textures. To address this issue, in this paper, we present to learn a scene-aware image prior based on the high-order Markov random field (MRF) model (SA-MRF). With this model, we jointly learn a set of shared low-level features and different potentials for specific scene contents. In prediction, a good prior can be adapted to the given degenerated image with the scene content perception. Experimental results on the image denoising and inpainting tasks demonstrate the efficiency of the SA-MRF on both numerical evaluation and visual compression.

[1]  Frédo Durand,et al.  Image and depth from a conventional camera with a coded aperture , 2007, SIGGRAPH 2007.

[2]  Ce Liu,et al.  A Bayesian Approach to Alignment-Based Image Hallucination , 2012, ECCV.

[3]  Richard Szeliski,et al.  A content-aware image prior , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[4]  Qi Gao,et al.  A generative perspective on MRFs in low-level vision , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[5]  Alessandro Foi,et al.  Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering , 2007, IEEE Transactions on Image Processing.

[6]  Léon Bottou,et al.  Large-Scale Machine Learning with Stochastic Gradient Descent , 2010, COMPSTAT.

[7]  Jitendra Malik,et al.  A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[8]  Li Xu,et al.  Unnatural L0 Sparse Representation for Natural Image Deblurring , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[9]  Karen O. Egiazarian,et al.  Image restoration by sparse 3D transform-domain collaborative filtering , 2008, Electronic Imaging.

[10]  William T. Freeman,et al.  Removing camera shake from a single photograph , 2006, SIGGRAPH 2006.

[11]  Ian D. Reid,et al.  From Motion Blur to Motion Flow: A Deep Learning Solution for Removing Heterogeneous Motion Blur , 2016, 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[12]  Michael J. Black,et al.  Fields of Experts: a framework for learning image priors , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[13]  Antonio Torralba,et al.  Statistics of natural image categories , 2003, Network.

[14]  Milan Sonka,et al.  Image Processing, Analysis and Machine Vision , 1993, Springer US.

[15]  Geoffrey E. Hinton Training Products of Experts by Minimizing Contrastive Divergence , 2002, Neural Computation.

[16]  Alexander J. Smola,et al.  Learning high-order MRF priors of color images , 2006, ICML.

[17]  Fei-Fei Li,et al.  Towards total scene understanding: Classification, annotation and segmentation in an automatic framework , 2009, CVPR.

[18]  Frédo Durand,et al.  Understanding and evaluating blind deconvolution algorithms , 2009, CVPR.

[19]  Jiejie Zhu,et al.  Context-constrained hallucination for image super-resolution , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[20]  Nir Friedman,et al.  Probabilistic Graphical Models - Principles and Techniques , 2009 .

[21]  Marshall F. Tappen,et al.  Learning optimized MAP estimates in continuously-valued MRF models , 2009, CVPR.

[22]  Mingkui Tan,et al.  Blind Image Deconvolution by Automatic Gradient Activation , 2016, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[23]  Dahua Lin,et al.  Deep Markov Random Field for Image Modeling , 2016, ECCV.

[24]  Stefan Roth,et al.  Shrinkage Fields for Effective Image Restoration , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[25]  William T. Freeman,et al.  What makes a good model of natural images? , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.

[26]  Edward H. Adelson,et al.  Learning Gaussian Conditional Random Fields for Low-Level Vision , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.

[27]  Antonio Torralba,et al.  Modeling the Shape of the Scene: A Holistic Representation of the Spatial Envelope , 2001, International Journal of Computer Vision.

[28]  Yanning Zhang,et al.  Multi-image Blind Deblurring Using a Coupled Adaptive Sparse Prior , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[29]  Rob Fergus,et al.  Blind deconvolution using a normalized sparsity measure , 2011, CVPR 2011.

[30]  Hao Su,et al.  Object Bank: A High-Level Image Representation for Scene Classification & Semantic Feature Sparsification , 2010, NIPS.

[31]  Pascal Vincent,et al.  Representation Learning: A Review and New Perspectives , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[32]  Hong Qiao,et al.  Poisson Noise Reduction with Higher-Order Natural Image Prior Model , 2016, SIAM J. Imaging Sci..

[33]  Sebastian Nowozin,et al.  Cascades of Regression Tree Fields for Image Restoration , 2014, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[34]  David G. Lowe,et al.  Distinctive Image Features from Scale-Invariant Keypoints , 2004, International Journal of Computer Vision.

[35]  IEEE conference on computer vision and pattern recognition , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[36]  Rob Fergus,et al.  Fast Image Deconvolution using Hyper-Laplacian Priors , 2009, NIPS.

[37]  Wei Yu,et al.  On learning optimized reaction diffusion processes for effective image restoration , 2015, 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[38]  Jie Ren,et al.  Context-Aware Sparse Decomposition for Image Denoising and Super-Resolution , 2013, IEEE Transactions on Image Processing.

[39]  Cordelia Schmid,et al.  IEEE Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops 2004, Washington, DC, USA, June 27 - July 2, 2004 , 2004, CVPR Workshops.

[40]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.