• Acta Optica Sinica
  • Vol. 40, Issue 1, 0111028 (2020)
Cheng Zhang1、2, Zuo Yang1, Xuelian Zhu3, Min Pan1, and Sui Wei1、*
Author Affiliations
  • 1Key Laboratory of Intelligent Computing & Signal Processing (Anhui University), Ministry of Education, Hefei, Anhui 230601, China;
  • 2Key Laboratory of Modern Imaging and Displaying Technology of Anhui Province, Hefei, Anhui 230601, China
  • 3Jiaxing Research and Development Center of SIMIT, Chinese Academy of Sciences, Jiaxing, Zhejiang 314050, China
  • show less
    DOI: 10.3788/AOS202040.0111028 Cite this Article Set citation alerts
    Cheng Zhang, Zuo Yang, Xuelian Zhu, Min Pan, Sui Wei. Compressive Holographic Tomography of Color Diffuse Objects[J]. Acta Optica Sinica, 2020, 40(1): 0111028 Copy Citation Text show less
    References

    [1] Schnars U, Falldorf C, Watson J et al. Digital holography[M]. Berlin, Heidelberg: Springer(2005).

    [2] Poon T C. Digital holography and three-dimensional display[M]. Boston, MA: Springer(2006).

    [3] Aubry A, de Maio A, Pallotta L et al. Maximum likelihood estimation of a structured covariance matrix with a condition number constraint[J]. IEEE Transactions on Signal Processing, 60, 3004-3021(2012).

    [4] Kang B, Monga V, Rangaswamy M. Rank-constrained maximum likelihood estimation of structured covariance matrices[J]. IEEE Transactions on Aerospace and Electronic Systems, 50, 501-515(2014).

    [5] Goodman J W. Speckle phenomena in optics: theory and applications[M]. USA: Roberts and Company Publishers(2006).

    [6] Candès E J, Romberg J K, Tao T. Stable signal recovery from incomplete and inaccurate measurements[J]. Communications on Pure and Applied Mathematics: a Journal Issued by the Courant Institute of Mathematical Sciences, 59, 1207-1223(2006).

    [7] Donoho D L. Compressed sensing[J]. IEEE Transactions on Information Theory, 52, 1289-1306(2006).

    [8] Brady D J, Choi K, Marks D L et al. Compressive holography[J]. Optics Express, 17, 13040-13049(2009).

    [9] Choi K, Horisaki R, Hahn J et al. Compressive holography of diffuse objects[J]. Applied Optics, 49, H1-H10(2010).

    [10] Süzen M, Giannoula A, Durduran T. Compressed sensing in diffuse optical tomography[J]. Optics Express, 18, 23676-23690(2010).

    [11] Kavuri V C, Lin Z J, Tian F H et al. Sparsity enhanced spatial resolution and depth localization in diffuse optical tomography[J]. Biomedical Optics Express, 3, 943-957(2012).

    [12] Jin A, Yazici B, Ale A et al. Preconditioning of the fluorescence diffuse optical tomography sensing matrix based on compressive sensing[J]. Optics Letters, 37, 4326-4328(2012).

    [13] Zhang X, Lam E Y, Poon T C. Reconstruction of sectional images in holography using inverse imaging[J]. Optics Express, 16, 17215-17226(2008).

    [14] Jiao S M. Tsang P W M, Poon T C, et al. Enhanced autofocusing in optical scanning holography based on hologram decomposition[J]. IEEE Transactions on Industrial Informatics, 13, 2455-2463(2017).

    [15] Leith E N, Upatnieks J. Reconstructed wavefronts and communication theory[J]. Journal of the Optical Society of America, 52, 1123-1130(1962).

    [16] Denisyuk Y N. On the reflection of optical properties of an object in a wave field of light scattered by it[J]. Doklady Akademii Nauk SSSR, 144, 1275-1278(1962).

    [17] Goodman J W. Statistical optics[M]. 2nd ed. Canada: John Wiley & Sons, Inc.(2015).

    [18] Moon T K, Stirling W C. Mathematical methods and algorithms for signal processing[M]. Upper Saddle River, NJ: Prentice Hall(2000).

    [19] Tropp J A. Just relax: convex programming methods for identifying sparse signals in noise[J]. IEEE Transactions on Information Theory, 52, 1030-1051(2006).

    [20] Needell D, Ward R. Stable image reconstruction using total variation minimization[J]. SIAM Journal on Imaging Sciences, 6, 1035-1058(2013).

    [21] Bioucas-Dias J M, Figueiredo M A T. A new TwIST: two-step iterative shrinkage/thresholding algorithms for image restoration[J]. IEEE Transactions on Image Processing, 16, 2992-3004(2007).

    Cheng Zhang, Zuo Yang, Xuelian Zhu, Min Pan, Sui Wei. Compressive Holographic Tomography of Color Diffuse Objects[J]. Acta Optica Sinica, 2020, 40(1): 0111028
    Download Citation