Catadioptric HyperSpectral Light Field Imaging

The complete plenoptic function records radiance of rays from every location, at every angle, for every wavelength and at every time. The signal is multi-dimensional and has long relied on multi-modal sensing such as hybrid light field camera arrays. In this paper, we present a single camera hyperspectral light field imaging solution that we call Snapshot Plenoptic Imager (SPI). SPI uses spectral coded catadioptric mirror arrays for simultaneously acquiring the spatial, angular and spectral dimensions. We further apply a learning-based approach to improve the spectral resolution from very few measurements. Specifically, we demonstrate and then employ a new spectral sparsity prior that allows the hyperspectral profiles to be sparsely represented under a pre-trained dictionary. Comprehensive experiments on synthetic and real data show that our technique is effective, reliable, and accurate. In particular, we are able to produce the first wide FoV multi-spectral light field database.

[1]  Michael S. Brown,et al.  Training-Based Spectral Reconstruction from a Single RGB Image , 2014, ECCV.

[2]  D. Donoho For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution , 2006 .

[3]  D. Donoho For most large underdetermined systems of equations, the minimal 𝓁1‐norm near‐solution approximates the sparsest near‐solution , 2006 .

[4]  J. Clevers The use of imaging spectrometry for agricultural applications , 1999 .

[5]  Shree K. Nayar,et al.  Cata-Fisheye Camera for Panoramic Imaging , 2008, 2008 IEEE Workshop on Applications of Computer Vision.

[6]  Vladimir Kolmogorov,et al.  Computing visual correspondence with occlusions using graph cuts , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[7]  Leonard McMillan,et al.  General Linear Cameras , 2004, ECCV.

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

[9]  Boaz Arad,et al.  Sparse Recovery of Hyperspectral Signal from Natural RGB Images , 2016, ECCV.

[10]  James A. Gardner,et al.  Advanced responsive tactically effective military imaging spectrometer (ARTEMIS): system overview and objectives , 2007, SPIE Organic Photonics + Electronics.

[11]  Nianyi Li,et al.  Rotational Crossed-Slit Light Fields , 2016, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[12]  Marc Levoy,et al.  Synthetic aperture confocal imaging , 2004, SIGGRAPH 2004.

[13]  Qi Zhang,et al.  Multi-modal and Multi-spectral Registration for Natural Images , 2014, ECCV.

[14]  R. Tibshirani,et al.  Least angle regression , 2004, math/0406456.

[15]  Dong Liu,et al.  Snapshot Hyperspectral Light Field Imaging , 2017, 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[16]  Vladimir Kolmogorov,et al.  An experimental comparison of min-cut/max- flow algorithms for energy minimization in vision , 2001, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[17]  Yuanyuan Ding,et al.  Multiperspective stereo matching and volumetric reconstruction , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[18]  Ashok Veeraraghavan,et al.  Generalized Assorted Camera Arrays: Robust Cross-Channel Registration and Applications , 2015, IEEE Transactions on Image Processing.

[19]  Ramesh Raskar,et al.  Axial-cones: modeling spherical catadioptric cameras for wide-angle light field rendering , 2010, SIGGRAPH 2010.

[20]  Jingyi Yu,et al.  A Rotational Stereo Model Based on XSlit Imaging , 2013, 2013 IEEE International Conference on Computer Vision.

[21]  Sabine Chabrillat,et al.  Imaging Spectrometry for Soil Applications , 2008 .

[22]  Olga Veksler,et al.  Fast Approximate Energy Minimization via Graph Cuts , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  R. Fergus,et al.  Dark flash photography , 2009, ACM Trans. Graph..

[24]  P. Curran Imaging spectrometry for ecological applications , 2001 .

[25]  A F Goetz,et al.  Imaging Spectrometry for Earth Remote Sensing , 1985, Science.

[26]  P. Hanrahan,et al.  Light Field Photography with a Hand-held Plenoptic Camera , 2005 .

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

[28]  Guillermo Sapiro,et al.  Online dictionary learning for sparse coding , 2009, ICML '09.

[29]  Ramesh Raskar,et al.  Dappled photography: mask enhanced cameras for heterodyned light fields and coded aperture refocusing , 2007, SIGGRAPH 2007.

[30]  Shree K. Nayar,et al.  A Theory of Single-Viewpoint Catadioptric Image Formation , 1999, International Journal of Computer Vision.