The inpainting of hyperspectral images: a survey and adaptation to hyperspectral data

In this work, we survey image reconstruction methods for hyperspectral imagery. First, a review of image interpolation methods, both linear and nonlinear, is given. Second, image inpainting methods, especially from the variational perspective, are analyzed with respect to their suitability for hyperspectral inpainting. The ability to connect edges through occlusions and the structure of the space in which the hyperspectral data lies are especially considered when propagating data into unknown regions. Finally, a general method for adapting image reconstruction methods to the hyperspectral case is presented.

[1]  Stanley Osher,et al.  L1 unmixing and its application to hyperspectral image enhancement , 2009, Defense + Commercial Sensing.

[2]  J. Boardman,et al.  Discrimination among semi-arid landscape endmembers using the Spectral Angle Mapper (SAM) algorithm , 1992 .

[3]  Jean-Michel Morel,et al.  A non-local algorithm for image denoising , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[4]  Julio Martín-Herrero,et al.  Anisotropic Diffusion in the Hypercube , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[5]  Greg Turk,et al.  LCIS: a boundary hierarchy for detail-preserving contrast reduction , 1999, SIGGRAPH.

[6]  Thomas L. Ainsworth,et al.  Improved Manifold Coordinate Representations of Large-Scale Hyperspectral Scenes , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[7]  A. Bertozzi,et al.  Unconditionally stable schemes for higher order inpainting , 2011 .

[8]  Pascal Getreuer Image zooming with contour stencils , 2009, Electronic Imaging.

[9]  Roi Méndez-Rial,et al.  Anisotropic Inpainting of the Hypercube , 2012, IEEE Geoscience and Remote Sensing Letters.

[10]  T. Chan,et al.  Variational image inpainting , 2005 .

[11]  Joseph W. Boardman,et al.  Considerations in collecting, processing, and analysing high spatial resolution hyperspectral data for environmental investigations , 2002, J. Geogr. Syst..

[12]  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.

[13]  Pascal Getreuer,et al.  Enhancement and Recovery in Atomic Force Microscopy Images , 2012 .

[14]  Thomas L. Ainsworth,et al.  Exploiting manifold geometry in hyperspectral imagery , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[15]  Tony F. Chan,et al.  Euler's Elastica and Curvature-Based Inpainting , 2003, SIAM J. Appl. Math..

[16]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[17]  Pascal Getreuer,et al.  Linear Methods for Image Interpolation , 2011, Image Process. Line.

[18]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[19]  Pascal Getreuer,et al.  Contour Stencils: Total Variation along Curves for Adaptive Image Interpolation , 2011, SIAM J. Imaging Sci..