Related Publications on Biomedical Imaging and Inverse Problems

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    1. L. Ding and W. Han, A projected gradient method for $\alpha\ell_{1}-\beta\ell_{2}$ sparsity regularization, Inverse Problems, Vol. 36 (2020), 125012 (30pp).
    2. R.F. Gong, P. Yu, Q. Jin, X.-L. Cheng, and W. Han, Solving a nonlinear inverse Robin problem through a linear Cauchy problem, Applicable Analysis, Vol. 99 (2020), 2093-2114.
    3. L. Ding and W. Han, Sparsity regularization with $\alpha\ell_{1}-\beta\ell_{2}$ constraints, Inverse Problems, Vol. 35 (2019), 125009 (26pp).
    4. R.F. Gong, X.L. Cheng, and W. Han, A homotopy method for bioluminescence tomography, Inverse Problems in Science & Engineering, Vol. 26 (2018), 398--421.
    5. J. Gao, B. Zhang, W. Han, J. Peng, and Z. Xu, A new approach for extracting the amplitude spectrum of the seismic wavelet from the seismic traces, Inverse Problems, Vol. 33 (2017), 085005 (16pp). Highlight paper of the journal in 2017.
    6. R.F. Gong, X.L. Cheng, and W. Han, A coupled complex boundary method for an inverse conductivity problem with one measurement, Applicable Analysis, Vol. 96 (2017), 869--885.
    7. J. Tang, B. Han, W. Han, B. Bi, and L. Li, Mixed total variation and $L^1$ regularization method for optical tomography based on radiative transfer equation, Computational and Mathematical Methods in Medicine, Vol. 2017 (2017), Article ID 2953560, 15 pages.
    8. W. Han, F. Long, W.X. Cong, X. Intes, and G. Wang, Radiative transfer with delta-Eddington-type phase functions, Applied Mathematics and Computation, Vol. 300 (2017), 70--78.
    9. X.L. Cheng, R.F. Gong, and W. Han, A coupled complex boundary method for the Cauchy problem, Inverse Problems in Science & Engineering, Vol. 24 (2016), 1510--1527.
    10. R.F. Gong, J. Eichholz, X.L. Cheng, and W. Han, Analysis of a numerical method for radiative transfer based bioluminescence tomography, special issue on medical imaging, Journal of Computational Mathematics, Vol. 34 (2016), 648--670.
    11. C. Wang, Q. Sheng, and W. Han, A discrete-ordinate discontinuous-streamline diffusion method for the radiative transfer equation, Communications in Computational Physics (CiCP), Vol. 20 (2016), 1443--1465.
    12. Q. Sheng, C. Wang, and W. Han, An optimal cascadic multigrid method for the radiative transfer equation, Journal of Computational and Applied Mathematics, Vol. 303 (2016), 189--205.
    13. R.F. Gong, X.L. Cheng, and W. Han, A new coupled complex boundary method for bioluminescence tomography, Communications in Computational Physics (CiCP), Vol. 19 (2016), 226--250.
    14. X.L. Cheng, R.F. Gong, and W. Han, A new Kohn-Vogelius type formulation for inverse source problems, Inverse Problems and Imaging, Vol. 9 (2015), 1051--1067.
    15. W. Han, A Posteriori Error Analysis in Radiative Transfer, Applicable Analysis, Vol. 94 (2015), 2517--2534.
    16. B. Bi, B. Han, W. Han, J. Tang, and L. Li, Image reconstruction for diffuse optical tomography based on radiative transfer equation , Computational and Mathematical Methods in Medicine, Vol. 2015 (2015), Article ID 286161, 23 pages.
    17. X.L. Cheng, R.F. Gong, W. Han, and X. Zheng, A novel coupled complex boundary method for inverse source problems, Inverse Problems, Vol. 30 (2014), 055002 (20 pp).
    18. R.F. Gong, X.L. Cheng, and W. Han, A fast solver for an inverse problem arising in bioluminescence tomography, Journal of Computational and Applied Mathematics, Vol. 267 (2014), 228--243.
    19. J. Tang, W. Han, and B. Han, A theoretical study for RTE based parameter identification problems, Inverse Problems, Vol. 29 (2013), 095002 (18pp).
    20. Q. Sheng and W. Han, Well-posedness of the Fokker-Planck Equation in a Scattering Process , Journal of Mathematical Analysis and Applications, Vol. 406 (2013), 531--536.
    21. W. Han, R.F. Gong, and X.L. Cheng, A general framework for integration of bioluminescence tomography and diffuse optical tomography , Inverse Problems in Science and Engineering, Vol. 22 (2013), 458--482.
    22. W. Han, Y. Li, Q. Sheng, and J. Tang, A numerical method for generalized Fokker-Planck equations , to appear in Contemporary Mathematics, AMS, 2013.
    23. W. Han, J. Eichholz, and Q. Sheng, Theory of Differential Approximations of Radiative Transfer Equation , in G.A. Anastassiou and O. Duman (eds.), Advances in Applied Mathematics and Approximation Theory, Springer Proceedings in Mathematics and Statistics 41, 2013.
    24. W. Han, J. Eichholz, and G. Wang, On a family of differential approximations of the radiative transfer equation , J. Math. Chem., Vol. 50 (2012), 689--702.
    25. W. Han, J. Eichholz, X.-L. Cheng, and G. Wang, A theoretical framework of x-ray dark-field tomography , SIAM J. Applied Math., Vol. 71 (2011), 1557--1577.
    26. W. Han, J. Eichholz, J. Huang, and J. Lu, RTE based bioluminescence tomography: a theoretical study, Inverse Problems in Science and Engineering, Vol. 19 (2011), 435--459.
    27. R.F. Gong, G. Wang, X.L. Cheng, and W. Han, A novel approach for studies of multispectral bioluminescence tomography, Numerische Mathematik, Vol. 115 (2010), 553--583.
    28. R.F. Gong, X.L. Cheng, and W. Han, Bioluminescence tomography for media with spatially varying refractive index , Inverse Problems in Science and Engineering, Vol. 18 (2010), 295--312.
    29. R.F. Gong, X.L. Cheng, and W. Han, Theoretical analysis and numerical realization of bioluminescence tomography, special issue on Applied Mathematics and Approximation Theory, Journal of Concrete and Applicable Mathematics, Vol. 8 (2010), 504--527.
    30. W. Han, H. Yu, and G. Wang, A total variation minimization theorem for compressed sensing based tomography , International Journal of Biomedical Imaging, Vol. 2009 (2009), Article ID 125871. doi:10.1155/2009/125871.
    31. W. Han, H. Shen, K. Kazmi, W.X. Cong, and G. Wang, Studies of a mathematical model for temperature-modulated bioluminescence tomography , Applicable Analysis, Vol. 88 (2009), 193--213. DOI: 10.1080/00036810802713834.
    32. X.L. Cheng, R.F. Gong, and W. Han, Numerical approximation of bioluminescence tomography based on a new formulation , Journal of Engineering Mathematics, Vol. 63 (2009), 121--133.
    33. W. Han, W.X. Cong, K. Kazmi, and G. Wang, An integrated solution and analysis of bioluminescence tomography and diffuse optical tomography , a special issue of Communications in Numerical Methods in Engineering, Vol. 25 (2008), 639--656.
    34. W. Han and G. Wang, Bioluminescence tomography: biomedical background, mathematical theory, and numerical approximation , Journal of Computational Mathematics, Vol. 26 (2008), 324--335.
    35. X.L. Cheng, R.F. Gong, and W. Han, A new general mathematical framework for bioluminescence tomography, Computer Methods in Applied Mechanics and Engineering, Vol. 197 (2008), 524--535.
    36. W. Han, K. Kazmi, W.X. Cong, and G. Wang, Bioluminescence tomography with optimized optical parameters , Inverse Problems, Vol. 23 (2007), 1215--1228.
    37. W. Han and G. Wang, Theoretical and numerical analysis on multispectral bioluminescence tomography , IMA Journal of Applied Mathematics, Vol. 72 (2007), 67--85.
    38. W. Han, W.X. Cong, and G. Wang, Mathematical study and numerical simulation of multispectral bioluminescence tomography , International Journal of Biomedical Imaging, Vol. 2006 (2006), doi:10.1155/IJBI/2006/54390.
    39. W. Han, W.X. Cong, and G. Wang, Mathematical theory and numerical analysis of bioluminescence tomography , Inverse Problems, Vol. 22 (2006), 1659--1675. Highlight paper of the journal in 2006.