Hyperspectral Image Super-Resolution With a Mosaic RGB Image

Recently, many hyperspectral (HS) image super-resolution methods that merge a low spatial resolution HS image and a high spatial resolution three-channel RGB image have been proposed in spectral imaging. A largely ignored fact is that most existing commercial RGB cameras capture high resolution images by a single CCD/CMOS sensor equipped with a color filter array. In this paper, we account for the common imaging mechanism of commercial RGB cameras, and propose to use a mosaic RGB image for HS image super-resolution, which prevents demosaicing error and thus its propagation into the HS image super-resolution results. We design a proper non-local low-rank regularization to exploit the intrinsic properties—rich self-repeating patterns and high correlation across spectra—within HS images of natural scenes, and formulate the HS image super-resolution task into a variational optimization problem, which can be efficiently solved via the alternating direction method of multipliers. The effectiveness of the proposed method has been evaluated on two benchmark data sets, demonstrating that the proposed method can provide substantial improvement over the current state-of-the-art HS image super-resolution methods without considering the mosaicing effect. Finally, we show that our method can also perform well in the real capture system.

[1]  Ajmal S. Mian,et al.  Hierarchical Beta Process with Gaussian Process Prior for Hyperspectral Image Super Resolution , 2016, ECCV.

[2]  Zongben Xu,et al.  Spatial and Spectral Image Fusion Using Sparse Matrix Factorization , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[3]  Jon Atli Benediktsson,et al.  Recent Advances in Techniques for Hyperspectral Image Processing , 2009 .

[4]  Wei Liu,et al.  Image Fusion with Local Spectral Consistency and Dynamic Gradient Sparsity , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[5]  Zhixun Su,et al.  Linearized Alternating Direction Method with Adaptive Penalty for Low-Rank Representation , 2011, NIPS.

[6]  Ayan Chakrabarti,et al.  Statistics of real-world hyperspectral images , 2011, CVPR 2011.

[7]  Fred A. Kruse,et al.  The Spectral Image Processing System (SIPS) - Interactive visualization and analysis of imaging spectrometer data , 1993 .

[8]  Ajmal S. Mian,et al.  Sparse Spatio-spectral Representation for Hyperspectral Image Super-resolution , 2014, ECCV.

[9]  Stephen P. Boyd,et al.  Log-det heuristic for matrix rank minimization with applications to Hankel and Euclidean distance matrices , 2003, Proceedings of the 2003 American Control Conference, 2003..

[10]  Shutao Li,et al.  Fusing Hyperspectral and Multispectral Images via Coupled Sparse Tensor Factorization , 2018, IEEE Transactions on Image Processing.

[11]  Masatoshi Okutomi,et al.  Beyond Color Difference: Residual Interpolation for Color Image Demosaicking , 2016, IEEE Transactions on Image Processing.

[12]  Paris V. Giampouras,et al.  Simultaneously Sparse and Low-Rank Abundance Matrix Estimation for Hyperspectral Image Unmixing , 2015, IEEE Transactions on Geoscience and Remote Sensing.

[13]  Takahiro Okabe,et al.  Reflectance and Fluorescent Spectra Recovery Based on Fluorescent Chromaticity Invariance under Varying Illumination , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[14]  J. S. Dam,et al.  Quantifying the absorption and reduced scattering coefficients of tissuelike turbid media over a broad spectral range with noncontact Fourier-transform hyperspectral imaging. , 2000, Applied optics.

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

[16]  Naoto Yokoya,et al.  Coupled Nonnegative Matrix Factorization Unmixing for Hyperspectral and Multispectral Data Fusion , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[17]  Liangpei Zhang,et al.  Hyperspectral Image Restoration Using Low-Rank Matrix Recovery , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[18]  Guangming Shi,et al.  Hyperspectral Image Super-Resolution via Non-Negative Structured Sparse Representation. , 2016, IEEE transactions on image processing : a publication of the IEEE Signal Processing Society.

[19]  Gitta Kutyniok,et al.  1 . 2 Sparsity : A Reasonable Assumption ? , 2012 .

[20]  S. Sides,et al.  Comparison of three different methods to merge multiresolution and multispectral data: Landsat TM and SPOT panchromatic , 1991 .

[21]  Yücel Altunbasak,et al.  Color plane interpolation using alternating projections , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[22]  Shree K. Nayar,et al.  Generalized Assorted Pixel Camera: Postcapture Control of Resolution, Dynamic Range, and Spectrum , 2010, IEEE Transactions on Image Processing.

[23]  Emmanuel J. Candès,et al.  A Singular Value Thresholding Algorithm for Matrix Completion , 2008, SIAM J. Optim..

[24]  Liangpei Zhang,et al.  A Practical Compressed Sensing-Based Pan-Sharpening Method , 2012, IEEE Geoscience and Remote Sensing Letters.

[25]  Yu-Wing Tai,et al.  RGB-Guided Hyperspectral Image Upsampling , 2015, 2015 IEEE International Conference on Computer Vision (ICCV).

[26]  Konrad Schindler,et al.  Hyperspectral Super-Resolution by Coupled Spectral Unmixing , 2015, 2015 IEEE International Conference on Computer Vision (ICCV).

[27]  A. Bruckstein,et al.  K-SVD : An Algorithm for Designing of Overcomplete Dictionaries for Sparse Representation , 2005 .

[28]  Takahiro Okabe,et al.  Separating Reflective and Fluorescent Components Using High Frequency Illumination in the Spectral Domain , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[29]  Shutao Li,et al.  Hyperspectral Image Super-Resolution via Non-local Sparse Tensor Factorization , 2017, 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[30]  Yasuyuki Matsushita,et al.  High-resolution hyperspectral imaging via matrix factorization , 2011, CVPR 2011.

[31]  Lei Zhang,et al.  Weighted Nuclear Norm Minimization with Application to Image Denoising , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[32]  John Wright,et al.  Segmentation of Multivariate Mixed Data via Lossy Data Coding and Compression , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[33]  Guangming Shi,et al.  Compressive Sensing via Nonlocal Low-Rank Regularization , 2014, IEEE Transactions on Image Processing.

[34]  Ajmal S. Mian,et al.  Bayesian sparse representation for hyperspectral image super resolution , 2015, 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[35]  Alfred S. McEwen,et al.  Spectral evidence for hydrated salts in recurring slope lineae on Mars , 2015 .

[36]  Shutao Li,et al.  Deep Hyperspectral Image Sharpening , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[37]  Qi Wang,et al.  3-D nonlocal means filter with noise estimation for hyperspectral imagery denoising , 2012, 2012 IEEE International Geoscience and Remote Sensing Symposium.

[38]  Emmanuel J. Candès,et al.  Exact Matrix Completion via Convex Optimization , 2009, Found. Comput. Math..

[39]  Richard Bamler,et al.  A Sparse Image Fusion Algorithm With Application to Pan-Sharpening , 2013, IEEE Transactions on Geoscience and Remote Sensing.

[40]  W. J. Carper,et al.  The use of intensity-hue-saturation transformations for merging SPOT panchromatic and multispectral image data , 1990 .

[41]  Yi Ma,et al.  A non-negative sparse promoting algorithm for high resolution hyperspectral imaging , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[42]  M. Borengasser,et al.  Hyperspectral Remote Sensing: Principles and Applications , 2007 .

[43]  Tuan Vo-Dinh,et al.  Biomedical Photonics Handbook, Second Edition: Biomedical Diagnostics , 2014 .

[44]  M. Elad,et al.  $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation , 2006, IEEE Transactions on Signal Processing.

[45]  Yoichi Sato,et al.  Exploiting Spectral-Spatial Correlation for Coded Hyperspectral Image Restoration , 2016, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).