首页 > 论文 > Photonics Research > 8卷 > 3期(pp:325-330)

First-photon imaging via a hybrid penalty

  • 摘要
  • 论文信息
  • 参考文献
  • 被引情况
  • PDF全文
分享:

Abstract

First-photon imaging is a photon-efficient, computational imaging technique that reconstructs an image by recording only the first-photon arrival event at each spatial location and then optimizing the recorded photon information. The optimization algorithm plays a vital role in image formation. A natural scene containing spatial correlation can be reconstructed by maximum likelihood of all spatial locations constrained with a sparsity regularization penalty, and different penalties lead to different reconstructions. The l1-norm penalty of wavelet transform reconstructs major features but blurs edges and high-frequency details of the image. The total variational penalty preserves edges better; however, it induces a “staircase effect,” which degrades image quality. In this work, we proposed a hybrid penalty to reconstruct better edge features while suppressing the staircase effect by combining wavelet l1-norm and total variation into one penalty function. Results of numerical simulations indicate that the proposed hybrid penalty reconstructed better images, which have an averaged root mean square error of 12.83%, 5.68%, and 10.56% smaller than those of the images reconstructed by using only wavelet l1-norm penalty, total variation penalty, or recursive dyadic partitions method, respectively. Experimental results are in good agreement with the numerical ones, demonstrating the feasibility of the proposed hybrid penalty. Having been verified in a first-photon imaging system, the proposed hybrid penalty can be applied to other noise-removal optimization problems.

Newport宣传-MKS新实验室计划
补充资料

DOI:10.1364/PRJ.381516

所属栏目:Imaging Systems, Microscopy, and Displays

基金项目:National Natural Science Foundation of China10.13039/501100001809; Natural Science Foundation of Beijing Municipality10.13039/501100004826;

收稿日期:2019-10-25

录用日期:2019-12-24

网络出版日期:2020-01-03

作者单位    点击查看

Xiao Peng:School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China
Xin-Yu Zhao:School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China
Li-Jing Li:School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China
Ming-Jie Sun:School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China

联系人作者:Ming-Jie Sun(mingjie.sun@buaa.edu.cn)

备注:National Natural Science Foundation of China10.13039/501100001809; Natural Science Foundation of Beijing Municipality10.13039/501100004826;

【1】A. McCarthy, R. J. Collins, N. J. Krichel, V. Fernández, A. M. Wallace and G. S. Buller. First-photon imaging via a hybrid penalty. Appl. Opt. 48, 6241-6251(2009).

【2】M. S. Oh, H. J. Kong, T. H. Kim, S. E. Jo, B. W. Kim and D. J. Park. First-photon imaging via a hybrid penalty. J. Opt. Soc. Am. A. 28, 759-765(2011).

【3】W. J. He, B. Y. Sima, Y. F. Chen, H. D. Dai, Q. Chen and G. H. Gu. First-photon imaging via a hybrid penalty. Opt. Commun. 308, 211-217(2013).

【4】D. Shin, F. Xu, D. Venkatraman, D. Lussana, F. Zappa, V. K. Goyal, F. N. C. Wong and J. H. Shapiro. First-photon imaging via a hybrid penalty. Nat. Commun. 7, (2016).

【5】A. Kirmani, D. Venkatraman, D. Shin, A. Cola?o, F. N. C. Wong, J. H. Shapiro and V. K. Goyal. First-photon imaging via a hybrid penalty. Science. 343, 58-61(2014).

【6】X. Liu, J. Shi, X. Wu and G. H. Zeng. First-photon imaging via a hybrid penalty. Sci. Rep. 8, (2018).

【7】D. Shin, A. Kirmani, A. Cola?o and V. K. Goyal. First-photon imaging via a hybrid penalty. Proceedings of the IEEE Global Conference on Signal and Information Processing. 1053-1056(2013).

【8】A. Colac, A. Kirmani, G. A. Howland, J. C. Howell and V. K. Goyal. First-photon imaging via a hybrid penalty. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition. 96-102(2012).

【9】Z. T. Harmany, R. F. Marcia and R. M. Willett. First-photon imaging via a hybrid penalty. IEEE Trans. Image Process. 21, 1084-1096(2012).

【10】Y. Kang, L. F. Li, X. J. Duan, T. Y. Zhang, D. J. Li and W. Zhao. First-photon imaging via a hybrid penalty. Opt. Commun. 392, 25-30(2017).

【11】D. Shin, A. Kirmani, V. K. Goyal and J. H. Shapiro. First-photon imaging via a hybrid penalty. IEEE International Conference on Image Processing. 46-50(2014).

【12】D. Shin, A. Kirmani, V. K. Goyal and J. H. Shapiro. First-photon imaging via a hybrid penalty. IEEE Trans. Comput. Imaging. 1, 112-125(2015).

【13】A. Kirmani, D. Venkatraman, A. Colac, F. N. C. Wong and V. K. Goyal. First-photon imaging via a hybrid penalty. CLEO: QELS_Fundamental Science. (2013).

【14】S. Mallat and A. Wavelet. First-photon imaging via a hybrid penalty. Tour of Signal Processing. : Academic, (1998).

【15】S. Ruikar and D. D. Doye. First-photon imaging via a hybrid penalty. International Conference on Mechanical and Electrical Technology. 509-515(2010).

【16】L. I. Rudin, S. Osher and E. Fatemi. First-photon imaging via a hybrid penalty. Physica D. 60, 259-268(1992).

【17】Y. Kang, Y. P. Yao, Z. H. Kang, L. Ma and T. Y. Zhang. First-photon imaging via a hybrid penalty. J. Opt. Soc. Am. A. 32, 1063-1067(2015).

【18】A. Beck and M. Teboulle. First-photon imaging via a hybrid penalty. IEEE Trans. Image Process. 18, 2419-2434(2009).

【19】M. A. T. Figueiredo, R. D. Nowak and S. J. Wright. First-photon imaging via a hybrid penalty. IEEE J. Sel. Top. Signal Process. 1, 586-597(2008).

【20】A. ChambolleA. Chambolle. First-photon imaging via a hybrid penalty. J. Math. Imaging Vis. 20, 89-97(2004).

【21】J. Xu, X. Feng, Y. Hao and Y. Han. First-photon imaging via a hybrid penalty. J. Syst. Eng. Electron. 25, 168-174(2014).

【22】D. L. SnyderD. L. Snyder. First-photon imaging via a hybrid penalty. J. Roy. Stat. Soc. 139, (1975).

【23】Z. T. Harmany, R. F. Marcia and R. M. Willett. First-photon imaging via a hybrid penalty. Proc. SPIE. 7533, (2010).

【24】R. F. Marcia, Z. T. Harmany and R. M. Willett. First-photon imaging via a hybrid penalty. Proc. SPIE. 7723, (2010).

【25】J. C. Emmanuel, M. B. Wakin and S. P. Boyd. First-photon imaging via a hybrid penalty. J. Fourier Anal. Appl. 14, 877-905(2008).

【26】S. J. Wright, R. D. Nowak and M. A. T. Figueiredo. First-photon imaging via a hybrid penalty. IEEE Trans. Image Process. 57, 2479-2493(2009).

【27】J. Barzilai and J. M. Borwein. First-photon imaging via a hybrid penalty. IMA J. Numer. Anal. 8, 141-148(1988).

【28】R. Nishihara, L. Lessard, B. Recht, A. Packard and M. I. Jordan. First-photon imaging via a hybrid penalty. Proceedings of the International Conference on Machine Learning. 343-352(2015).

【29】N. Pustelnik, C. Chaux and J. C. Pesquet. First-photon imaging via a hybrid penalty. IEEE Trans. Image Process. 20, 2450-2462(2011).

【30】S. Ramani, T. Blu and M. Unser. First-photon imaging via a hybrid penalty. IEEE Trans. Image Process. 17, 1540-1554(2008).

【31】Y. Altmann, S. McLaughlin and M. Padgett. First-photon imaging via a hybrid penalty. Proceedings of the IEEE Computational Advances in Multi-Sensor Adaptive Processing. 1521-1525(2017).

【32】R. M. Willett and R. D. Nowak. First-photon imaging via a hybrid penalty. IEEE Trans. Inf. Theory. 53, 3171-3187(2007).

【33】W. S. Dong, G. M. Shi, X. Li, Y. Ma and F. Huang. First-photon imaging via a hybrid penalty. IEEE Trans. Image Process. 23, 3618-3632(2014).

【34】W. S. Dong, G. M. Shi and X. Li. First-photon imaging via a hybrid penalty. IEEE Trans. Image Process. 22, 700-711(2012).

【35】B. Recht, M. Fazel and P. A. Parrilo. First-photon imaging via a hybrid penalty. SIAM Rev. 52, 471-501(2010).

引用该论文

Xiao Peng, Xin-Yu Zhao, Li-Jing Li, and Ming-Jie Sun, "First-photon imaging via a hybrid penalty," Photonics Research 8(3), 325-330 (2020)

您的浏览器不支持PDF插件,请使用最新的(Chrome/Fire Fox等)浏览器.或者您还可以点击此处下载该论文PDF