Enhancing the recovery of a temporal sequence of images using joint deconvolution

In this work, we address the reconstruction of spatial patterns that are encoded in light fields associated with a series of light pulses emitted by a laser source and imaged using photon-counting cameras, with an intrinsic response significantly longer than the pulse delay. Adopting a Bayesian approach, we propose and demonstrate experimentally a novel joint temporal deconvolution algorithm taking advantage of the fact that single pulses are observed simultaneously by different pixels. Using an intensified CCD camera with a 1000-ps gate, stepped with 10-ps increments, we show the ability to resolve images that are separated by a 10-ps delay, four time better compared to standard deconvolution techniques.

[1]  S. Barnett,et al.  Free-space information transfer using light beams carrying orbital angular momentum. , 2004, Optics express.

[2]  Antonio J. Plaza,et al.  Total Variation Spatial Regularization for Sparse Hyperspectral Unmixing , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[3]  Genevieve Gariepy,et al.  Tracking hidden objects with a single-photon camera , 2015, 1503.01699.

[4]  Rebecca Willett,et al.  This is SPIRAL-TAP: Sparse Poisson Intensity Reconstruction ALgorithms—Theory and Practice , 2010, IEEE Transactions on Image Processing.

[5]  R. Raskar,et al.  Single-photon sensitive light-in-fight imaging , 2015, Nature Communications.

[6]  Michael Elad,et al.  Applications of Sparse Representation and Compressive Sensing , 2010, Proc. IEEE.

[7]  Christina A. Groenwall,et al.  Gated viewing for target detection and target recognition , 1999, Defense, Security, and Sensing.

[8]  Lei Zhang,et al.  Image Deblurring and Super-Resolution by Adaptive Sparse Domain Selection and Adaptive Regularization , 2010, IEEE Transactions on Image Processing.

[9]  Jens Busck,et al.  Underwater 3-D optical imaging with a gated viewing laser radar , 2005 .

[10]  P. Andersson Long-range three-dimensional imaging using range-gated laser radar images , 2006 .

[11]  Yinwen Cao,et al.  Free-space optical communications using orbital-angular-momentum multiplexing combined with MIMO-based spatial multiplexing. , 2015, Optics letters.

[12]  Robert Henderson,et al.  Detection and tracking of moving objects hidden from view , 2015, Nature Photonics.

[13]  Edoardo Charbon,et al.  Real-time fluorescence lifetime imaging system with a 32 x 32 0.13microm CMOS low dark-count single-photon avalanche diode array. , 2010, Optics express.

[14]  José M. Bioucas-Dias,et al.  Restoration of Poissonian Images Using Alternating Direction Optimization , 2010, IEEE Transactions on Image Processing.

[15]  Michael Elad,et al.  Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries , 2006, IEEE Transactions on Image Processing.

[16]  A. Willner,et al.  Terabit free-space data transmission employing orbital angular momentum multiplexing , 2012, Nature Photonics.

[17]  Mourad Zghal,et al.  Optical communication beyond orbital angular momentum , 2016, Scientific Reports.

[18]  Rémi Bardenet,et al.  Monte Carlo Methods , 2013, Encyclopedia of Social Network Analysis and Mining. 2nd Ed..

[19]  R. Raskar,et al.  Recovering three-dimensional shape around a corner using ultrafast time-of-flight imaging , 2012, Nature Communications.