Compressive Spectral Imaging via Polar Coded Aperture

A compressive spectral imager based on a polar coded aperture and a continuous variable circular bandpass filter is proposed for spinning munitions. As the imager rotates with the munition, compressive projections are sequentially captured with embedded spatial and spectral modulation. The polar coded aperture design is introduced, aiming at optimizing the sensing process. Both discrete and continuous rotation models of the proposed imager are derived and used to characterize the compressive imager. Computer simulations validate the computational models and the reconstruction algorithm.

[1]  Alexandre Bernardino,et al.  A review of log-polar imaging for visual perception in robotics , 2010, Robotics and Autonomous Systems.

[2]  Jingwen Yan,et al.  Karhunen-Loève transform for compressive sampling hyperspectral images , 2015 .

[3]  M. Rafecas,et al.  Polar pixels for high resolution small animal PET , 2006, 2006 IEEE Nuclear Science Symposium Conference Record.

[4]  E.J. Candes,et al.  An Introduction To Compressive Sampling , 2008, IEEE Signal Processing Magazine.

[5]  Yuval Garini,et al.  Spectral imaging: Principles and applications , 2006, Cytometry. Part A : the journal of the International Society for Analytical Cytology.

[6]  Sally L. Wood,et al.  Polar Pixel Kalman Filter For Limited Data Computed Tomography (CT) Image Reconstruction , 1979, Optics & Photonics.

[7]  S. P. Morozova,et al.  VNIIOFI Spectroradiometer Based on a Circular Variable Filter for the Spectral Range from 2.5 μm up to 14 μm , 2003 .

[8]  Alfred O. Hero,et al.  3D image reconstruction for a Compton SPECT camera model , 1999 .

[9]  S Yang,et al.  Circular, variable, broad-bandpass filters with induced transmission at 200-1100 nm. , 1993, Applied optics.

[10]  Dennis W. Prather,et al.  Demonstration of a DMD-based compressive sensing (CS) spectral imaging system , 2011, CLEO: 2011 - Laser Science to Photonic Applications.

[11]  N. Nasrabadi,et al.  Hyperspectral Imaging and Obstacle Detection for Robotics Navigation , 2005 .

[12]  Angel Domingo Sappa,et al.  Multispectral Image Feature Points , 2012, Sensors.

[13]  Henry Arguello,et al.  Spatial super-resolution in code aperture spectral imaging , 2012, Defense + Commercial Sensing.

[14]  Gonzalo R. Arce,et al.  Compressive Hyperspectral Imaging via Approximate Message Passing , 2015, IEEE Journal of Selected Topics in Signal Processing.

[15]  Richard G. Baraniuk,et al.  Kronecker product matrices for compressive sensing , 2010, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing.

[16]  Yongtian Wang,et al.  A Coded Aperture Compressive Imaging Array and Its Visual Detection and Tracking Algorithms for Surveillance Systems , 2012, Sensors.

[17]  Richard M. Leahy,et al.  Fast MLE for SPECT using an intermediate polar representation and a stopping criterion , 1988 .

[18]  D. Brady,et al.  Coded aperture snapshot spectral polarization imaging. , 2013, Applied optics.

[19]  Richard G. Baraniuk,et al.  Kronecker Compressive Sensing , 2012, IEEE Transactions on Image Processing.

[20]  Henry Arguello,et al.  Code aperture optimization for spectrally agile compressive imaging. , 2011, Journal of the Optical Society of America. A, Optics, image science, and vision.

[21]  Henry Arguello,et al.  Higher-order computational model for coded aperture spectral imaging. , 2013, Applied optics.

[22]  Gonzalo R Arce,et al.  Multi-spectral compressive snapshot imaging using RGB image sensors. , 2015, Optics express.

[23]  Anthony J. Calise,et al.  An Adaptive Vision-Based Approach to Decentralized Formation Control , 2004, J. Aerosp. Comput. Inf. Commun..

[24]  Brian M. Sadler,et al.  Compressive spectral polarization imaging by a pixelized polarizer and colored patterned detector. , 2015, Journal of the Optical Society of America. A, Optics, image science, and vision.

[25]  Bea Thai,et al.  All source adaptive fusion for aided navigation in non-GPS environment , 2007, SPIE Defense + Commercial Sensing.

[26]  Masahiro Yamaguchi,et al.  Hybrid-resolution multispectral imaging using color filter array. , 2012, Optics express.

[27]  Henry Arguello,et al.  Code Aperture Agile Spectral Imaging (CAASI) , 2011 .

[28]  Aron Pinker,et al.  Vulnerability of the GPS Signal to Jamming , 1999, GPS Solutions.

[29]  Henry Arguello,et al.  Compressive Coded Aperture Spectral Imaging: An Introduction , 2014, IEEE Signal Processing Magazine.

[30]  Giorgio Bonmassar,et al.  Space-variant active vision: Definition, overview and examples , 1995, Neural Networks.

[31]  Emanuele Frontoni,et al.  A Vision-Based Guidance System for UAV Navigation and Safe Landing using Natural Landmarks , 2010, J. Intell. Robotic Syst..

[32]  Ting Sun,et al.  Single-pixel imaging via compressive sampling , 2008, IEEE Signal Process. Mag..

[33]  Pierre Vandergheynst,et al.  Hyperspectral image compressed sensing via low-rank and joint-sparse matrix recovery , 2012, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[34]  Johan A. K. Suykens,et al.  Tensor Versus Matrix Completion: A Comparison With Application to Spectral Data , 2011, IEEE Signal Processing Letters.

[35]  Eric Sonnendrücker,et al.  Pinhole SPECT imaging: compact projection/backprojection operator for efficient algebraic reconstruction , 2006, IEEE Transactions on Medical Imaging.

[36]  Mário A. T. Figueiredo,et al.  Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems , 2007, IEEE Journal of Selected Topics in Signal Processing.

[37]  Eran Ohel,et al.  A Long Wave Infrared (LWIR) spectral imager (7.7 to 12.3 μ) based on cooled detector array and high resolution Circular Variable Filter (CVF) , 2013, Optics/Photonics in Security and Defence.

[38]  Ashwin A. Wagadarikar,et al.  Single disperser design for coded aperture snapshot spectral imaging. , 2008, Applied optics.

[39]  Guillermo Sapiro,et al.  Coded aperture compressive temporal imaging , 2013, Optics express.

[40]  M E Gehm,et al.  Single-shot compressive spectral imaging with a dual-disperser architecture. , 2007, Optics express.

[41]  Sivasankar Ramarasu.  Vision based navigation for an unmanned aerial vehicle , 2007 .