Computational imaging with a highly parallel image-plane-coded architecture: challenges and solutions.

This paper investigates a highly parallel extension of the single-pixel camera based on a focal plane array. It discusses the practical challenges that arise when implementing such an architecture and demonstrates that system-specific optical effects must be measured and integrated within the system model for accurate image reconstruction. Three different projection lenses were used to evaluate the ability of the system to accommodate varying degrees of optical imperfection. Reconstruction of binary and grayscale objects using system-specific models and Nesterov's proximal gradient method produced images with higher spatial resolution and lower reconstruction error than using either bicubic interpolation or a theoretical system model that assumes ideal optical behavior. The high-quality images produced using relatively few observations suggest that higher throughput imaging may be achieved with such architectures than with conventional single-pixel cameras. The optical design considerations and quantitative performance metrics proposed here may lead to improved image reconstruction for similar highly parallel systems.

[1]  Michael Elad,et al.  Optimized Projections for Compressed Sensing , 2007, IEEE Transactions on Signal Processing.

[2]  Amit Ashok,et al.  Information-optimal Scalable Compressive Imaging System , 2014 .

[3]  Aleksandar Dogandzic,et al.  A fast proximal gradient algorithm for reconstructing nonnegative signals with sparse transform coefficients , 2014, 2014 48th Asilomar Conference on Signals, Systems and Computers.

[4]  A. Mahalanobis,et al.  Recent results of medium wave infrared compressive sensing. , 2014, Applied optics.

[5]  Robert H. Halstead,et al.  Matrix Computations , 2011, Encyclopedia of Parallel Computing.

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

[7]  Dennis W Prather,et al.  Experimental demonstration of an optical-sectioning compressive sensing microscope (CSM). , 2010, Optics express.

[8]  Edmund Y. Lam,et al.  Binary Sensing Matrix Design for Compressive Imaging Measurements , 2014 .

[9]  E. Candès,et al.  Compressive fluorescence microscopy for biological and hyperspectral imaging , 2012, Proceedings of the National Academy of Sciences.

[10]  Edmund Y Lam,et al.  Object reconstruction in block-based compressive imaging. , 2012, Optics express.

[11]  M. Rudelson,et al.  Non-asymptotic theory of random matrices: extreme singular values , 2010, 1003.2990.

[12]  Michael S. Mermelstein,et al.  Synthetic aperture microscopy , 1999 .

[13]  Henry Arguello,et al.  Rank Minimization Code Aperture Design for Spectrally Selective Compressive Imaging , 2013, IEEE Transactions on Image Processing.

[14]  M. Padgett,et al.  3D Computational Imaging with Single-Pixel Detectors , 2013, Science.

[15]  Massimo Fornasier,et al.  Compressive Sensing , 2015, Handbook of Mathematical Methods in Imaging.

[16]  M. Rudelson,et al.  The Littlewood-Offord problem and invertibility of random matrices , 2007, math/0703503.

[17]  M. Neifeld,et al.  Optical architectures for compressive imaging. , 2006, Applied optics.

[18]  Mark R. Freeman,et al.  3D Computational Imaging with Single-Pixel Detectors , 2013 .

[19]  Jian Wang,et al.  LiSens- A Scalable Architecture for Video Compressive Sensing , 2015, 2015 IEEE International Conference on Computational Photography (ICCP).

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

[21]  F. Harris,et al.  Ultra Low Phase Noise DSP Oscillator [DSP Tips & Tricks] , 2007, IEEE Signal Processing Magazine.

[22]  Berthold K. P. Horn,et al.  Multibeam interferometric illumination as the primary source of resolution in optical microscopy , 2006 .

[23]  Ramesh Raskar,et al.  Optical design and characterization of an advanced computational imaging system , 2014, Optics & Photonics - Optical Engineering + Applications.

[24]  R. M. Willett,et al.  Compressed sensing for practical optical imaging systems: A tutorial , 2011, IEEE Photonics Conference 2012.