Abstract
Photon-efficient imaging has enabled a number of applications relying on single-photon sensors that can capture a 3D image with as few as one photon per pixel. In practice, however, measurements of low photon counts are often mixed with heavy background noise, which poses a great challenge for existing computational reconstruction algorithms. In this paper, we first analyze the long-range correlations in both spatial and temporal dimensions of the measurements. Then we propose a non-local neural network for depth reconstruction by exploiting the long-range correlations. The proposed network achieves decent reconstruction fidelity even under photon counts (and signal-to-background ratio, SBR) as low as 1 photon/pixel (and 0.01 SBR), which significantly surpasses the state-of-the-art. Moreover, our non-local network trained on simulated data can be well generalized to different real-world imaging systems, which could extend the application scope of photon-efficient imaging in challenging scenarios with a strict limit on optical flux. Code is available at https://github.com/JiayongO-O/PENonLocal.
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Notes
- 1.
Note that we enlarge the illumination periods N to ensure that the returning photons in each period are weak enough so that our image formation model in Eq. 2 can still be valid without suffering from the pile-up effect in simulating these noise levels.
References
Abreu, E., Lightstone, M., Mitra, S.K., Arakawa, K.: A new efficient approach for the removal of impulse noise from highly corrupted images. IEEE Trans. Image Process. 5(6), 1012–1025 (1996)
Altmann, Y., Ren, X., Mccarthy, A., Buller, G., Mclaughlin, S.: Lidar waveform based analysis of depth images constructed using sparse single-photon data. IEEE Trans. Comput. Imaging 25(5), 1935–1946 (2016)
Altmann, Y., McLaughlin, S., Padgett, M.J., Goyal, V.K., Hero, A.O., Faccio, D.: Quantum-inspired computational imaging. Science 361(6403), 2298 (2018)
Bar-David, I.: Communication under the poisson regime. IEEE Trans. Inf. Theory 15(1), 31–37 (1969)
Barbastathis, G., Ozcan, A., Situ, G.: On the use of deep learning for computational imaging. Optica 6(8), 921–943 (2019)
Buller, G.S., Wallace, A.M., Mccarthy, A., Lamb, R.A.: Ranging and three-dimensional imaging using time-correlated single-photon counting. IEEE J. Sel. Top. Quantum Electron. 13(4), 1006–1015 (2007)
Chan, S., et al.: Long-range depth imaging using a single-photon detector array and non-local data fusion. Sci. Rep. 9(1), 8075 (2019)
Chen, C., Xiong, Z., Tian, X., Wu, F.: Deep boosting for image denoising. In: Ferrari, V., Hebert, M., Sminchisescu, C., Weiss, Y. (eds.) ECCV 2018, Part XI. LNCS, vol. 11215, pp. 3–19. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-01252-6_1
Chen, C., Xiong, Z., Tian, X., Zha, Z.J., Wu, F.: Real-world image denoising with deep boosting. IEEE Transactions on Pattern Analysis and Machine Intelligence (2019)
Cheng, Z., Xiong, Z., Liu, D.: Light field super-resolution by jointly exploiting internal and external similarities. IEEE Trans. Circuits Syst. Video Technol. 30(8), 2604–2616 (2019)
Dabov, K., Foi, A., Katkovnik, V., Egiazarian, K.: Image denoising by sparse 3-D transform-domain collaborative filtering. IEEE Trans. Image Process. 16(8), 2080–2095 (2007)
Dai, T., Cai, J., Zhang, Y., Xia, S.T., Zhang, L.: Second-order attention network for single image super-resolution. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 11065–11074 (2019)
Dong, C., Loy, C.C., He, K., Tang, X.: Image super-resolution using deep convolutional networks. IEEE Trans. Pattern Anal. Mach. Intell. 38(2), 295–307 (2015)
Girshick, R.: Fast R-CNN. In: IEEE International Conference on Computer Vision, pp. 1440–1448 (2015)
Gupta, A., Ingle, A., Gupta, M.: Asynchronous single-photon 3D imaging. In: IEEE International Conference on Computer Vision, pp. 7909–7918 (2019)
Gupta, A., Ingle, A., Velten, A., Gupta, M.: Photon-flooded single-photon 3D cameras. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 6770–6779 (2019)
Hadfield, R.H.: Single-photon detectors for optical quantum information applications. Nat. Photonics 3(12), 696 (2009)
Holst, G.C.: CCD Arrays, Cameras, and Displays. SPIE Optical Engineering, Bellingham (1998)
Ingle, A., Velten, A., Gupta, M.: High flux passive imaging with single-photon sensors. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 6760–6769 (2019)
Kingma, D.P., Ba, J.: Adam: A method for stochastic optimization. arXiv preprint arXiv:1412.6980 (2014)
Kirmani, A., et al.: First-photon imaging. Science 343(6166), 58–61 (2014)
Köllner, M., Wolfrum, J.: How many photons are necessary for fluorescence-lifetime measurements? Chem. Phys. Lett. 200(1–2), 199–204 (1992)
Krizhevsky, A., Sutskever, I., Hinton, G.E.: ImageNet classification with deep convolutional neural networks. In: International Conference on Neural Information Processing Systems, pp. 1097–1105 (2012)
Li, Z.P., et al.: Single-photon computational 3D imaging at 45 km. Photon. Res. 8(9), 1532–1540 (2020)
Li, Z.P., et al.: All-time single-photon 3D imaging over 21 km. In: Conference on Lasers and Electro-Optics, p. SM1N.1 (2019)
Lindell, D.B., O’Toole, M., Wetzstein, G.: Single-photon 3D imaging with deep sensor fusion. ACM Trans. Graph. 37(4), 113 (2018)
Liu, P., Chang, S., Huang, X., Tang, J., Cheung, J.C.K.: Contextualized non-local neural networks for sequence learning. In: Association for the Advancement of Artificial Intelligence, pp. 6762–6769 (2019)
Liu, X., et al.: Non-line-of-sight imaging using phasor-field virtual wave optics. Nature 572(7771), 620–623 (2019)
O’Toole, M., Heide, F., Lindell, D.B., Zang, K., Diamond, S., Wetzstein, G.: Reconstructing transient images from single-photon sensors. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 1539–1547 (2017)
O’Toole, M., Lindell, D.B., Wetzstein, G.: Confocal non-line-of-sight imaging based on the light-cone transform. Nature 555(7696), 338 (2018)
Pawlikowska, A.M., Halimi, A., Lamb, R.A., Buller, G.S.: Single-photon three-dimensional imaging at up to 10 kilometers range. Opt. Express 25(10), 11919–11931 (2017)
Pediredla, A.K., Sankaranarayanan, A.C., Buttafava, M., Tosi, A., Veeraraghavan, A.: Signal processing based pile-up compensation for gated single-photon avalanche diodes. arXiv preprint arXiv:1806.07437 (2018)
Peng, J., Xiong, Z., Liu, D., Chen, X.: Unsupervised depth estimation from light field using a convolutional neural network. In: International Conference on 3D Vision, pp. 295–303 (2018)
Peng, J., Xiong, Z., Wang, Y., Zhang, Y., Liu, D.: Zero-shot depth estimation from light field using a convolutional neural network. IEEE Trans. Comput. Imaging 6, 682–696 (2020)
Rapp, J., Goyal, V.K.: A few photons among many: unmixing signal and noise for photon-efficient active imaging. IEEE Trans. Comput. Imaging 3(3), 445–459 (2017)
Ren, X., et al.: High-resolution depth profiling using a range-gated CMOS SPAD quanta image sensor. Opt. Express 26(5), 5541–5557 (2018)
Renker, D.: Geiger-mode avalanche photodiodes, history, properties and problems. Nucl. Instrum. Methods Phys. Res. 567(1), 48–56 (2006)
Richardson, J.A., Grant, L.A., Henderson, R.K.: Low dark count single-photon avalanche diode structure compatible with standard nanometer scale CMOS technology. IEEE Photon. Technol. Lett. 21(14), 1020–1022 (2009)
Saunders, C., Murray-Bruce, J., Goyal, V.K.: Computational periscopy with an ordinary digital camera. Nature 565(7740), 472 (2019)
Scharstein, D., Pal, C.: Learning conditional random fields for stereo. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 1–8 (2007)
Schwartz, D.E., Charbon, E., Shepard, K.L.: A single-photon avalanche diode array for fluorescence lifetime imaging microscopy. IEEE J. Solid-State Circuits 43(11), 2546–2557 (2008)
Shi, Z., Chen, C., Xiong, Z., Liu, D., Wu, F.: HSCNN+: Advanced CNN-based hyperspectral recovery from RGB images. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops (2018)
Shin, D., Kirmani, A., Goyal, V.K., Shapiro, J.H.: Photon-efficient computational 3-D and reflectivity imaging with single-photon detectors. IEEE Trans. Comput. Imaging 1(2), 112–125 (2015)
Shin, D., et al.: Photon-efficient imaging with a single-photon camera. Nat. Commun. 7, 12046 (2016)
Silberman, N., Hoiem, D., Kohli, P., Fergus, R.: Indoor segmentation and support inference from RGBD images. In: Fitzgibbon, A., Lazebnik, S., Perona, P., Sato, Y., Schmid, C. (eds.) ECCV 2012, Part V. LNCS, vol. 7576, pp. 746–760. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-33715-4_54
Villa, F., et al.: CMOS imager with 1024 SPADs and TDCs for single-photon timing and 3D time-of-flight. IEEE J. Sel. Top. Quantum Electron. 20(6), 364–373 (2014)
Wang, X., Girshick, R., Gupta, A., He, K.: Non-local neural networks. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 7794–7803 (2018)
Xiong, Z., Shi, Z., Li, H., Wang, L., Liu, D., Wu, F.: HSCNN: CNN-based hyperspectral image recovery from spectrally undersampled projections. In: Proceedings of the IEEE International Conference on Computer Vision Workshops (2017)
Yao, M., Xiong, Z., Wang, L., Liu, D., Chen, X.: Spectral-depth imaging with deep learning based reconstruction. Opt. Express 27(26), 38312–38325 (2019)
Yue, K., Sun, M., Yuan, Y., Zhou, F., Ding, E., Xu, F.: Compact generalized non-local network. In: International Conference on Neural Information Processing Systems, pp. 6510–6519 (2018)
Acknowledgements
We acknowledge funding from National Key R&D Program of China under Grants 2017YFA0700800 and 2018YFB0504300, National Natural Science Foundation of China under Grants 61671419 and 61771443, the Shanghai Municipal Science and Technology Major Project (2019SHZDZX01), the Shanghai Science and Technology Development Funds (18JC1414700), and the Fundamental Research Funds for the Central Universities (WK2340000083).
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Peng, J., Xiong, Z., Huang, X., Li, ZP., Liu, D., Xu, F. (2020). Photon-Efficient 3D Imaging with A Non-local Neural Network. In: Vedaldi, A., Bischof, H., Brox, T., Frahm, JM. (eds) Computer Vision – ECCV 2020. ECCV 2020. Lecture Notes in Computer Science(), vol 12351. Springer, Cham. https://doi.org/10.1007/978-3-030-58539-6_14
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