Jia-jia QI, Yuan-jin CHEN, Wei-ji HE, et al. Photon counting integral imaging based on adaptive Bayesian estimation[J]. Optics and precision engineering, 2018, 26(3): 565-571.
DOI:
Jia-jia QI, Yuan-jin CHEN, Wei-ji HE, et al. Photon counting integral imaging based on adaptive Bayesian estimation[J]. Optics and precision engineering, 2018, 26(3): 565-571. DOI: 10.3788/OPE.20182603.0565.
Photon counting integral imaging based on adaptive Bayesian estimation
A novel method of Bayesian adaptive estimation was proposed to improve reconstructed slice images based on a photon-counting integral imaging system for three-dimensional (3D) targets in a photon-starved environment. First
a series of photon-counted elemental images were obtained by a photon-counting integral imaging system. Subsequently
based on the Poisson distribution of the photon-counting process
the posterior probability model for photon estimation of the elemental images was established with one local adaptive mean value introduced. The model benefits from the feature of multiple sampling for the same reconstructed voxel by the integral imaging system. Finally
the photon-counted elemental images were updated by calculating the expected value of the posterior probability model and the depth slice images were reconstructed by back-propagating the captured light rays. Experimental results show that the peak signal-to-noise ratio of the depth slice images reconstructed by the proposed method can be 7.4 dB and 8.5 dB higher than that of conventional Bayesian estimation at two scene depths
which greatly improves the quality of 3D target reconstruction.
JIAO X X, ZHAO X, YANG Y, et al.. Pick-up system for three-dimensional integral imaging with camera array[J]. Opt. Precision Eng., 2012, 20(8):1653-1660. (in Chinese)
JIAO X X, ZHAO X, YANG Y, et al.. Optical acquiring technique of three-dimensional integral imaging based on optimal pick-up distance[J]. Opt. Precision Eng., 2011, 19(11):2805-2811. (in Chinese)
ZHANG J, XIN Y, LIU W Q, et al.. Three-dimensional digital imaging based on microlens array[J]. Opt. Precision Eng., 2009, 17(7):1702-1706. (in Chinese)
YEOM S, JAVIDI B, WATSON E. Photon counting passive 3D image sensing for automatic target recognition[J]. Optics Express, 2005, 13(23):9310-9330.
LEE B G, LILIANA, SHIN D H. Enhanced computational integral imaging system for partially occluded 3D objects using occlusion removal technique and recursive PCA reconstruction[J]. Optics Communications, 2010, 283(10):2084-2091.
CHO M, MAHALANOBIS A, JAVIDI B. 3D passive photon counting automatic target recognition using advanced correlation filters[J]. Optics Letters, 2011, 36(6):861-863.
XIAO X, DANESHPANAH M, JAVIDI B. Occlusion removal using depth mapping in three-dimensional integral imaging[J]. Journal of Display Technology, 2012, 8(8):483-490.
JANG J S, JAVIDI B. Three-dimensional synthetic aperture integral imaging[J]. Optics Letters, 2002, 27(13):1144-1146.
TAVAKOLI B, JAVIDI B, WATSON E. Three dimensional visualization by photon counting computational integral imaging[J]. Optics Express, 2008, 16(7):4426-4436.
GOODMAN J W, NARDUCCI L M. Statistical optics[J]. Physics Today, 1986, 39(10):126.
JUNG J, CHO M, DEY D K, et al.. Three-dimensional photon counting integral imaging using Bayesian estimation[J]. Optics Letters, 2010, 35(11):1825-1827.
ALONI D, STERN A, JAVIDI B. Three-dimensional photon counting integral imaging reconstruction using penalized maximum likelihood expectation maximization[J]. Optics Express, 2011, 19(20):19681-19687.
BERGER J O. Statistical Decision Theory and Bayesian Analysis[M]. 2nd ed.. New York:Springer, 1985:266.
CHO M, JAVIDI B. Three-dimensional photon counting axially distributed image sensing[J]. Journal of Display Technology, 2013, 9(1):56-62.