Jointly Optimized Regressors for Image Super‐resolution

Learning regressors from low‐resolution patches to high‐resolution patches has shown promising results for image super‐resolution. We observe that some regressors are better at dealing with certain cases, and others with different cases. In this paper, we jointly learn a collection of regressors, which collectively yield the smallest super‐resolving error for all training data. After training, each training sample is associated with a label to indicate its ‘best’ regressor, the one yielding the smallest error. During testing, our method bases on the concept of ‘adaptive selection’ to select the most appropriate regressor for each input patch. We assume that similar patches can be super‐resolved by the same regressor and use a fast, approximate kNN approach to transfer the labels of training patches to test patches. The method is conceptually simple and computationally efficient, yet very effective. Experiments on four datasets show that our method outperforms competing methods.

[1]  Andrea Vedaldi,et al.  Vlfeat: an open and portable library of computer vision algorithms , 2010, ACM Multimedia.

[2]  C. Duchon Lanczos Filtering in One and Two Dimensions , 1979 .

[3]  Raanan Fattal,et al.  Image upsampling via imposed edge statistics , 2007, ACM Trans. Graph..

[4]  Antonio Criminisi,et al.  Filter Forests for Learning Data-Dependent Convolutional Kernels , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[5]  Michal Irani,et al.  Nonparametric Blind Super-resolution , 2013, 2013 IEEE International Conference on Computer Vision.

[6]  Truong Q. Nguyen,et al.  Image Superresolution Using Support Vector Regression , 2007, IEEE Transactions on Image Processing.

[7]  Mei Han,et al.  Soft Edge Smoothness Prior for Alpha Channel Super Resolution , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.

[8]  Rachid Deriche,et al.  Vector-valued image regularization with PDEs: a common framework for different applications , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[9]  Bryan C. Russell,et al.  Exploiting the sparse derivative prior for super-resolution , 2003 .

[10]  Kwang In Kim,et al.  Single-Image Super-Resolution Using Sparse Regression and Natural Image Prior , 2010, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11]  Carsten Rother,et al.  FusionFlow: Discrete-continuous optimization for optical flow estimation , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[12]  D. Yeung,et al.  Super-resolution through neighbor embedding , 2004, CVPR 2004.

[13]  Luc Van Gool,et al.  A+: Adjusted Anchored Neighborhood Regression for Fast Super-Resolution , 2014, ACCV.

[14]  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.

[15]  Luc Van Gool,et al.  The Synthesizability of Texture Examples , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[16]  C. B. Atkins Classification -based method in optimal image interpolation , 1998 .

[17]  William T. Freeman,et al.  Example-Based Super-Resolution , 2002, IEEE Computer Graphics and Applications.

[18]  Thomas S. Huang,et al.  Image Super-Resolution Via Sparse Representation , 2010, IEEE Transactions on Image Processing.

[19]  S T Roweis,et al.  Nonlinear dimensionality reduction by locally linear embedding. , 2000, Science.

[20]  Dani Lischinski,et al.  Depixelizing pixel art , 2011, ACM Trans. Graph..

[21]  Michael Elad,et al.  On Single Image Scale-Up Using Sparse-Representations , 2010, Curves and Surfaces.

[22]  Ahmed M. Darwish,et al.  Adaptive resampling algorithm for image zooming , 1996, Electronic Imaging.

[23]  Anat Levin,et al.  Accurate Blur Models vs. Image Priors in Single Image Super-resolution , 2013, 2013 IEEE International Conference on Computer Vision.

[24]  Luc Van Gool,et al.  Anchored Neighborhood Regression for Fast Example-Based Super-Resolution , 2013, 2013 IEEE International Conference on Computer Vision.

[25]  Michael Unser,et al.  Image interpolation and resampling , 2000 .

[26]  Michal Irani,et al.  Super-resolution from a single image , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[27]  Chih-Yuan Yang,et al.  Fast Direct Super-Resolution by Simple Functions , 2013, 2013 IEEE International Conference on Computer Vision.

[28]  Xiaoou Tang,et al.  Learning a Deep Convolutional Network for Image Super-Resolution , 2014, ECCV.

[29]  Raanan Fattal,et al.  Image and video upscaling from local self-examples , 2011, TOGS.

[30]  Thomas S. Huang,et al.  Image super-resolution as sparse representation of raw image patches , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.