DISI Dipartimento di Informatica e Scienze dell'Informazione


Publications  (IMRT)


A) Authored books

  1. M. Bertero, and P. Boccacci, 1998, Introduction to Inverse Problems in Imaging (IOP Publishing, Bristol).

B) Edited books

  1. M. Bertero, and E.R. Pike eds., 1992, Inverse Problems in Scattering and Imaging (Adam Hilger, Bristol).

C) Chapters of edited books

  1. J.-L. Starck, F. Murtagh, and M. Bertero, 2011, Starlet transform in Astronomical data processing, in Handbook of Mathematical Methods in Imaging, ed. O. Scherzer, 1489-1531 (Springer, Berlin) (pdf)
  2. M. Bertero, H. Lanteri, and L. Zanni, 2008, Iterative image reconstruction: a point of view, in Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), eds. Y. Censor, M. Jiang, and A. K. Louis, CRM series, 7, 37-63 (Edizioni della Normale, Pisa)  (pdf file)
  3. M. Bertero, B. Anconelli, P. Boccacci, G. Desiderà, M. Carbillet, and H. Lanteri, 2006, High resolution image reconstruction: The case of  the Large Binocular Telescope (LBT), in Astronomy with High Contrast Imaging III, eds. M. Carbillet, A. Ferrari, and C. Aime, EAS Publication Series 22, 35-67 (EDP Sciences, Les Ulis) (pdf file)
  4. M. Bertero, and M. Piana, 2006, Inverse problems in biomedical imaging: modeling and methods of solution, in Complex Systems in Biomedicine, eds. A. Quarteroni, L. Formaggia, and A. Veneziani, 1-33 (Springer, Berlin) (pdf file)
  5. M. Bertero, and P. Boccacci, 2005, Image deconvolution, in From Cells to Proteins: Imaging Nature across Dimensions, eds. V. Evangelista, L. Barsanti, V. Passarelli, and P. Gualtieri, Proc. NATO A.S.I., 12-23 September 2004, Pisa, Italy . NATO Security Through Science Series. Subseries B: Physics and Biophysics, Vol. 3, 349-370 (Springer, Berlin) (pdf file)
  6. M. Bertero, and P. Boccacci, 2004, Inverse Problems and Computational Imaging, in Encyclopedia of Modern Optics, eds. R. D. Guenther, D. G. Steel, and L. Bayvel, Vol. 2, 118-127 (Elsevier, Oxford) (pdf file)
  7. M. Bertero, P. Bonetto, L. Caracciuolo, L. D'Amore, A. R. Formiconi, M. R. Guarracino, G. Laccetti, A. Murli, and G. Oliva, 2003, A Grid-based RPC system for medical imaging, in Advances in Computation: Theory and Practice, Vol. 15, Parallel and Distributed Scientific and Engineering Computing, eds. Yi Pan, and Laurence Tianruo Yang, 177-190 (Nova Science Publ., New York)
  8. M. Piana, and M. Bertero, 2003, Linear approaches in microwave tomography, Contemporary Mathematics, Vol. 333, Inverse Problems: Theory and Applications, eds. G. Alessandrini, and G. Uhlmann, 187-198 (AMS, Providence, Rhode Island)
  9. P. Boccacci, and M. Bertero, 2002, Image restoration methods: basics and algorithms, in Confocal and Two-Photons Microscopy: Foundations, Applications and Advances, ed. A. Diaspro, 253-269 (Wiley, New York)
  10. M. Bertero, and C. De Mol, 1996, Super-resolution by data inversion, in Progress in Optics, ed. E. Wolf, Vol. XXXVI, 129-178 (Elsevier, Amsterdam)
  11. M. Bertero, 1996, The use of "a priori" information in the solution of ill-posed problems, in Topics in Partial Differential Equations and Applications: Collected Papers in Honor of Carlo Pucci, eds. G.Talenti, E.Vesentini and P.Marcellini, 19-27, (Dekker, New York)
  12. M. Bertero, and E.R. Pike, 1993, Signal processing for linear instrumental systems with noise: A general theory with illustrations from optical imaging and light scattering problems, in Signal Processing and its Applications, eds. N.K. Bose and C.R. Rao, Vol. 10, 1-46 (North-Holland, Amsterdam).
  13. M. Bertero, 1989, Linear inverse and ill-posed problems, in Advances in Electronics and Electron Physics, ed. P.W. Hawkes, Vol.75, 1-120 (Academic Press, New York).
  14. M. Bertero, 1986, Regularization methods for linear inverse problems, in Inverse Problems, ed. G. Talenti, Lecture Notes in Mathematics, Vol.1225, 52-112 (Springer, Berlin).
  15. M. Bertero, C. De Mol, and G.A. Viano, 1980, The stability of inverse problems, in Inverse Scattering Problems in Optics, ed. H.P. Baltes, Topics in Current Physics, Vol. 20, 161-214 (Springer, Berlin).

D) Journal articles

  1. M. Prato, R. Cavicchioli, L. Zanni, P. Boccacci, and M. Bertero, 2012, Efficient deconvolution methods for astronomical imaging: algorithms and IDL-GPU codes, Astron. Astrophys., 539, A133 (pdf file)
  2. A. Staglianò, P. Boccacci, and M. Bertero, 2011, Analysis of an approximate model for Poisson data reconstruction and a related discrepancy principle, Inverse Problems, 27, 125003 (20pp) (pdf file)
  3. M. Bertero, P. Boccacci, A. La Camera, C. Olivieri, and M. Carbillet, 2011, Imaging with LINC-NIRVANA, the Fizeau interferometer of the Large Binoculat Telescope: state of the art and open problems, Inverse Problems, 27, 113001 (30pp) (pdf file)
  4. M. Bertero, P. Boccacci, G. Talenti, R. Zanella, and L. Zanni, 2010, A discrepancy principle for Poisson data, Inverse Problems, 26, 10500 (20pp) (pdf file)
  5. F. Benvenuto, R. Zanella, L. Zanni, and M. Bertero, 2010, Nonnegative least-squares image deblurring: improved gradient projection approaches, Inverse Problems, 26, 025004 (18pp) (pdf file)
  6. M. Bertero, P. Boccacci, G. Desiderà, A. La Camera, M. Carbillet, and H. Lantéri, 2010, Imaging with LINC-NIRVANA, IEEE Signal Processing Magazine, 27, issue 1, 110-115 (pdf file)
  7. M. Bertero, P. Boccacci, G. Desiderà, and G. Vicidomini, 2009, Image deblurring with Poisson data: from cells to galaxies, Inverse Problems, 25, 123006 (26pp) (pdf file)
  8. I. Loris, M. Bertero, C. De Mol, R. Zanella, and L. Zanni, 2009, Accelerating gradient projection methods for l1-constrained signal recovery by steplength selection rules, Appl. Comput. Harmonic Anal., 27, 247-254 (pdf file)
  9. A. Zunino, F. Benvenuto, E. Armadillo, M. Bertero, and E. Bozzo, 2009, Iterative deconvolution and semi-blind deconvolution methods in magnetic archaeological prospection, Geophysics, 74, L43-L51 (pdf file)
  10. R. Zanella, P. Boccacci, L. Zanni, and M. Bertero, 2009, Efficient gradient projection methods for edge-preserving removal of Poisson noise, Inverse Problems, 25, 045010 (24pp) (pdf file)
  11. G. Vicidomini, P. Boccacci, A. Diaspro, and M. Bertero, 2009, Application of the split-gradient-method to 3D image deconvolution in fluorescence microscopy, J. Microsc., 234, 47-61 (pdf file)
  12. F. Benvenuto, A. La Camera, C. Theys, A. Ferrari, H. Lantéri, and M. Bertero, 2008, The study of an iterative method for the reconstruction of images corrupted by Poisson and Gaussian noise, Inverse Problems, 24, 035016 (20pp) (pdf file) CORRIGENDUM (pdf file)
  13. A. La Camera, G. Desiderà, C. Arcidiacono, P. Boccacci, and M. Bertero, 2007, Advances in the reconstruction of  LBT LINC-NIRVANA images, Astron. Astrophys., 471, 1091-1097 (pdf file)
  14. B.Anconelli, M. Bertero, P. Boccacci, M. Carbillet, and H. Lanteri, 2007, Iterative methods for the reconstruction of astronomical images with high dynamic range, J. Comp. Appl. Math., 198, 321-331 (pdf file)
  15. B. Anconelli, M. Bertero, P. Boccacci, G. Desiderà, M. Carbillet, and H. Lanteri, 2006, Deconvolution of multiple images with high dynamic range and an application to LBT LINC-NIRVANA, Astron. Astrophys., 460, 349-355 (pdf file)
  16. A. M. Massone, M. Miyakawa, M. Piana, F. Conte, and M. Bertero, 2006, A linear model for Chirp-Pulse Microwave Computerized Tomography: applicability conditions, Inverse Problems, 22, 2209-2222 (pdf file)
  17. G. Desiderà, B.Anconelli, M. Bertero, P. Boccacci, and M. Carbillet, 2006, Application of iterative blind deconvolution to the reconstruction of LBT LINC-NIRVANA images, Astron. Astrophys., 452, 727-743 (pdf file)
  18. B.Anconelli, M. Bertero, P. Boccacci, M. Carbillet, and H. Lanteri, 2006, Reduction of boundary effects in multiple image deconvolution with an application to LBT LINC-NIRVANA, Astron. Astrophys., 448, 1217-1224 (pdf file)
  19. M. Bertero, and P. Boccacci, 2005, A simple method for the reduction of boundary effects in the Ricardson-Lucy approach to image deconvolution, Astron. Astrophys.,  437, 369-374 (pdf file)
  20. M. Robberto, S. V. W. Beckwith, N. Panagia, S. G. Patel, T. M. Herbst, S. Ligori, A. Custo, P. Boccacci and M. Bertero, 2005, The Orion Nebula in the MID-IR, Astron. J., 129,  1534-1563 (pdf file)
  21. B.Anconelli, M. Bertero, P. Boccacci, M. Carbillet, and H. Lanteri, 2005, Restoration of interferometric images - III. Efficient Richardson-Lucy methods for LINC-NIRVANA data reduction, Astron. Astrophys., 430, 731-738 (pdf file)
  22. B.Anconelli, M. Bertero, P. Boccacci, and M. Carbillet, 2005, Restoration of interferometric images - IV. An algorithm for super-resolution of stellar systems, Astron. Astrophys., 431, 747-756 (pdf file)
  23. M. Bertero, P. Boccacci, and M. Robberto, 2003, Inversion of second-difference operators with application to infrared astronomy, Inverse Problems, 19, 1427-1443 (pdf file)
  24. M. Bertero, and P. Boccacci, 2003, Super-resolution in computational imaging, Micron, 34, 265-273 (pdf file)
  25. M. Bertero, P. Boccacci, A. Custo, C. De Mol, and M. Robberto, 2003, A Fourier-based method for the restoration of chopped and nodded images, Astron. Astrophys., 406, 765-772 (pdf file)
  26. P. Calvini, and M. Bertero, 2002, Application of Krylov subspaces to SPECT imaging, Int. J. Imag. Syst. Tech., 12, 217-228 (pdf file)
  27. M. Miyakawa, K. Orikasa, and M. Bertero, 2002, Evaluation of the response function and its space dependance in Chirp Pulse Microwave Computed Tomography (CP-MCT), IEICE T. Inf. Syst., E85D, 52-59
  28. M. Miyakawa, K. Orikasa, M. Bertero, P. Boccacci, F. Conte, and M. Piana, 2002, Experimental validation of a linear model for data reduction in Chirp-Pulse Microwave CT, IEEE Trans. Med. Im., 21, 385-395 (pdf file)
  29. S. Correia, M. Carbillet, P. Boccacci, M. Bertero, and L. Fini, 2002, Restoration of interferometric images - I. The software package AIRY, Astron. Astrophys., 387, 733-743 (pdf file)
  30. M. Carbillet, S. Correia, P. Boccacci, and M. Bertero, 2002, Restoration of interferometric images - II. The case-study of the Large Binocular Telescope, Astron. Astrophys., 387, 744-757 (pdf file)
  31. M. Bertero, F. Conte, M. Miyakawa, and M. Piana, 2001, Computation of the response function in chirp-pulse microwave computed tomography, Inverse Problems, 17, 485-500 (pdf file)
  32. M. Miyakawa, Y. Kawada, and M. Bertero, 2001, Image generation of Chirp Pulse Microwave Computed Tomography (CP-MCT) by numerical computation - Computation of the human head model, IEICE Trans., J84-D-II, 1512-1521 (in japanese)
  33. M. Bertero, and P. Boccacci, 2000, Image restoration methods for the Large Binocular Telescope, Astron. Astrophys. Suppl. Ser., 147, 323-332 (pdf file)
  34. M. Bertero, P. Boccacci, and M. Robberto, 2000, Wide-field imaging at mid-infrared wavelengths: reconstruction of chopped and nodded data, Publications Astron. Soc. Pacific, 112, 1121-1137 (pdf file)
  35. M. Bertero, and P. Boccacci, 2000, Application of the OS-EM method to the restoration of LBT images, Astron. Astrophys. Suppl. Ser., 144, 181-186 (pdf file)
  36. M. Bertero, M. Miyakawa, P. Boccacci, F. Conte, K. Orikasa, and M. Furutani, 2000, Image restoration in Chirp-Pulse Microwave CT (CP-MCT), IEEE Trans. Biomed. Engineering, BE-47, 690-699 (pdf file)
  37. M. Bertero, P. Boccacci, F. Di Benedetto, and M.Robberto, 1999, Restoration of chopped and nodded images in infrared astronomy, Inverse Problems, 15, 345-372 (pdf file)
  38. M. Bertero, D. Bindi, P. Boccacci, M. Cattaneo, C. Eva, and V.Lanza, 1998, A novel blind-deconvolution method with an application to seismology, Inverse Problems, 14, 815-833 (pdf file)
  39. I. Akduman, U. Brand, J. Grochmalicki, G. Hester, E.R. Pike, and M. Bertero, 1998, Superresolving masks for incoherent high-numerical-aperture scanning microscopy in three dimensions, J. Opt. Soc. Am., A15, 2275-2287 (pdf file)
  40. M. Piana, and M. Bertero, 1997, Projected Landweber method and preconditioning, Inverse Problems, 13, 441-464 (pdf file)
  41. M. Bertero, D. Bindi, P. Boccacci, M. Cattaneo, C. Eva, and V.Lanza, 1997, Application of the projected Landweber method to the estimation of the source time function in seismology, Inverse Problems, 13, 465-486 (pdf file)
  42. A. Caponnetto, and M.Bertero, 1997, Tomography with a finite set of projections: Singular value decomposition and resolution, Inverse Problems, 13, 1191-1205 (pdf file)
  43. P. Calvini, M. Bertero, and J.C. Brown, 1996, Optimal inference of episodic stellar mass loss rates from real polarimetric and absorption data with noise and sparse sampling, Astron. Astrophys., 309, 235-244
  44. M. Piana, and M. Bertero, 1996, Regularized deconvolution of multiple images of the same object, J. Opt. Soc. Am., A13, 1516-1523 (pdf file)
  45. M. Bertero, and P. Boccacci, 1996, Super-resolution and the ill-posedness of out-of-band extrapolation, Zeitschrift Angewan. Math. Mech., 76, Suppl.1, 181-184
  46. P. Calvini, M. Bertero, and J.C.Brown, 1995, Joint spectral and polarimetric analysis of hot star wind transients, Inverse Problems, 11, 79-96 (pdf file)
  47. M. Bertero, P. Boccacci, and F.Maggio, 1995, Regularization methods in image restoration: An application to HST images, Int. J. Imaging Systems and Technology, 6, 376-386
  48. F. Maggio, F. Malfanti, M. Bertero, M. Cattaneo, and C. Eva, 1994, Comparison of inversion methods in seismic tomography: Application to tectonic structures in Northwestern Italy, Annali di Geofisica, 37, 47-70
  49. M. Bertero, P. Boccacci, F. Malfanti, and E.R. Pike, 1994, Super- resolution in confocal scanning microscopy: V.Axial super-resolution in the incoherent case, Inverse Problems, 10, 1059-1077 (pdf file)
  50. J.G. Walker, E.R. Pike, R.E. Davies, M.R. Young, G.J. Brakenhoff, and M. Bertero, 1993, Superresolving scanning optical microscopy using holographic optical processing, J. Opt. Soc. Am., A10, 59-64 (pdf file)
  51. J. Grochmalicki, E.R. Pike, J.G. Walker, M. Bertero, P. Boccacci, and R.E. Davies, 1993, Superresolving masks for incoherent scanning microscopy, J. Opt. Soc. Am., A10, 1074-1077 (pdf file)
  52. M.R. Young, S.H. Jiang, R.E. Davies, J.G. Walker, E.R. Pike, and M. Bertero, 1992, Experimental confirmation of super-resolution in coherent confocal scanning microscopy using optical masks, J. Microsc., 165, 131-138
  53. M. Bertero, P. Boccacci, R.E. Davies, F. Malfanti, E.R. Pike, and J.G. Walker, 1992, Super-resolution in confocal scanning microscopy: IV. Theory of data inversion by the use of optical masks, Inverse Problems, 8, 1-23 (pdf file)
  54. M. Bertero, P. Boccacci, R.E. Davies, and E.R. Pike, 1991, Super-resolution in confocal scanning microscopy: III. The case of circular pupils, Inverse Problems, 7, 655-674 (pdf file)
  55. M. Bertero, and E.R. Pike, 1991, Exponential-sampling method for the Laplace and other dilationally invariant transforms: I. Singular-system analysis, Inverse Problems, 7, 1-20 (pdf file)
  56. M. Bertero, and E.R.Pike, 1991, Exponential-sampling method for the Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction, Inverse Problems, 7, 21-41 (pdf file)
  57. M. Bertero, P. Boccacci, G.J. Brakenhoff, F. Malfanti, and H.T.M. van der Voort, 1990, Three-dimensional image restoration and super-resolution in fluorescence confocal microscopy, J. Microsc., 157, 3-20
  58. M. Bertero, P. Boccacci, C. De Mol, and E.R. Pike, 1989, Extraction of polydispersity information from photon correlation data, J. Aerosol Science, 20, 91-99 (pdf file)
  59. M.Bertero, and P.Boccacci, 1989, Computation of the singular system for a class of integral operators related to data inversion in confocal microscopy, Inverse Problems, 5, 935-957 (pdf file)
  60. M. Bertero, P. Boccacci, M. Defrise, C. De Mol, and E.R.Pike, 1989, Super-resolution in confocal scanning microscopy. II: The incoherent case, Inverse Problems, 5, 441-461 (pdf file)
  61. M.R. Young, R.E. Davis, E.R. Pike, J.G. Walker, and M.Bertero, 1989, Superresolution in confocal scanning microscopy: Experimental confirmation in the 1-D coherent case, Europhys. Lett., 9, 773-778
  62. M. Bertero, P. Brianzi, E.R. Pike, and L. Rebolia, 1988, Linear regularizing algorithms for positive solutions of linear inverse problems, Proc. Royal Soc. London, A 415, 257-275
  63. M. Bertero, C. De Mol, and E.R.Pike, 1988, Linear inverse problems with discrete data: II - Stability and regularization, Inverse Problems, 4, 573-594 (pdf file)
  64. M. Bertero, T. Poggio, and V.Torre, 1988, Ill-posed problems in early vision, Proceedings IEEE, 76, 869-889 (pdf file)
  65. M. Bertero, P. Brianzi, and E.R. Pike, 1987, Super-resolution in confocal scanning microscopy, Inverse Problems, 3, 195-212 (pdf file)
  66. F. Bardati, M. Bertero, M. Mongiardo, and D. Solimini, 1987, Singular system analysis of the inversion of microwave radiometric data: Applications to biological temperature retrieval, Inverse Problems, 3, 347-370 (pdf file)
  67. M. Bertero, C. De Mol, and E.R.Pike, 1987, An analytic inversion formula for confocal scanning microscopy, J. Opt. Soc. Am., A4, 1748-1750 (pdf file)
  68. F. Bardati, M. Bertero, M. Mongiardo, and D.Solimini, 1987, Singular system analysis for temperature retrieval in microwave thermography, Radio Science, 22, 1035-1041
  69. M. Bertero, F.A. Grunbaum, and L. Rebolia, 1986, Spectral properties of a differential operator related to the inversion of the finite Laplace transform, Inverse Problems, 2, 131-139 (pdf file)
  70. M. Bertero, C. De Mol, and E.R.Pike, 1986, Particle size distributions from spectral turbidity: A singular-system analysis, Inverse Problems, 2, 247-258 (pdf file)
  71. M.Bertero, and E.R.Pike, 1986, Intensity fluctuation distributions from photon counting distributions: A singular system analysis, Inverse Problems, 2, 259-269 (pdf file)
  72. M. Bertero, P. Brianzi, and E.R. Pike, 1985, On the recovery and resolution of exponential relaxation rates from experimental data III. The effect of sampling and truncation of data on the Laplace transform inversion, Proc. Royal Soc. London, A398, 23-44 (pdf file)
  73. M. Bertero, P. Brianzi, E.R. Pike, G. De Villiers, K.H. Lan, and N. Ostrwsky, 1985, Ligth scattering polydispersity analysis of molecular diffusion by Laplace transform inversions in weighted spaces, J. Chem. Phys., 82, 1551-1554
  74. M. Bertero, P. Brianzi, and E.R.Pike, 1985, On the recovery and resolution of exponential relaxation rates from experimental data: Laplace transform inversion in weighted spaces, Inverse Problems, 1, 1-15 (pdf file)
  75. M. Bertero, P. Boccacci, and E.R.Pike, 1985, Particle size distributions from Fraunhofer diffraction: The singular-value spectrum, Inverse Problems, 1, 111-126 (pdf file)
  76. M. Bertero, and F.A.Grunbaum, 1985, Commuting differential operators for the finite Laplace transform, Inverse Problems, 1, 181-192 (pdf file)
  77. M. Bertero, C. De Mol, and E.R.Pike, 1985, Linear inverse problems with discrete data: I - General formulation and singular system analysis, Inverse Problems, 1, 300-330 (pdf file)
  78. M. Bertero, P. Brianzi, P. Parker, and E.R. Pike, 1984, Resolution in diffraction-limited imaging, a singular value analysis III. The effect of sampling and truncation of the data, Optica Acta, 31, 181-201
  79. M. Bertero, P. Boccacci, and E.R.Pike, 1984, On the recovery and resolution of exponential relaxation rates from experimental data II. The optimum choice of experimental sampling points for Laplace transform inversion, Proc. Royal Soc. London, A393, 51-65
  80. M. Bertero, C. De Mol, E.R. Pike, and J.G. Walker, 1984, Resolution in diffraction-limited imaging, a singular value analysis IV. The case of uncertain localization or non-uniform illumination of the object, Optica Acta, 31, 923-946 (pdf file)
  81. E.R. Pike, J.R. McWhirter, M. Bertero, and C. De Mol, 1984, Generalized information theory for inverse problems in signal processing, IEE Proceedings, 131, 660-667 (pdf file)
  82. M. Bertero, and E.R. Pike, 1983, Particle size distribution from Fraunhofer diffraction I. An analytic eigenfunction approach, Optica Acta, 30, 1043-1049
  83. M. Bertero, C. De Mol, F. Gori, and L. Ronchi, 1983, Number of degrees of freedom in inverse diffraction, Optica Acta, 30, 1051-1065 (pdf file)
  84. M. Bertero, and E.R. Pike, 1982, Resolution in diffraction-limited imaging, a singular value analysis I. The case of coherent illumination, Optica Acta, 29, 727-746
  85. M. Bertero, P. Boccacci, and E.R. Pike, 1982, On the recovery and resolution of exponential relaxation rates from experimental data: a singular-value analysis of the Laplace transform inversion in the presence of noise, Proc. Royal Soc. London, A383, 15-29
  86. M. Bertero, P. Boccacci, and E.R. Pike, 1982, Resolution in diffraction-limited imaging, a singular value analysis II. The case of incoherent illumination, Optica Acta, 29, 1599-1611
  87. M. Bertero, and C. De Mol, 1981, Stability problems in inverse diffraction, IEEE Trans. Antennas Propagat., AP-29, 368-72 (pdf file)
  88. M. Bertero, and V. Dovi', 1981, Regularized and positive-constrained inverse methods in the problem of object restoration, Optica Acta, 28, 1635-1649 (pdf file)
  89. M. Bertero, and C. De Mol, 1981, Ill-posedness, regularization and number of degrees of freedom, Atti della Fondazione Giorgio Ronchi, 36, 619-632
  90. M. Bertero, C. De Mol, and G.A. Viano, 1980, Resolution beyond the diffraction limit for regularized object restoration, Optica Acta, 27, 307-320 (pdf file)
  91. M. Bertero, F. Pasqualetti, L. Ronchi, G. Toraldo Di Francia, and G.A. Viano, 1980, The inverse scattering problem in Born approximation and the number of degrees of freedom, Optica Acta, 27, 307-320
  92. M. Bertero, C. De Mol, and G.A. Viano, 1979, On the problems of object restoration and image extrapolation in optics, J. Math. Phys., 20, 509-521 (pdf file)
  93. M. Bertero, and G.A. Viano, 1978, On probabilistic methods for the solution of improperly posed problems, Bollettino U.M.I., 15-B, 453-508
  94. M. Bertero, C. De Mol, and G.A. Viano, 1978, Restoration of optical objects using regularization, Optics Letters, 3, 51-53 (pdf file)
  95. M. Bertero, and G. Passatore, 1973, Some topics in the theory and applications of the optical model, Zeitschrift fur Naturforschung, 28a, 519-529 (dedicated to Prof. Konrad Bleuler in the occasion of his 60th birthday).
  96. M. Bertero, and G. Passatore, 1971, A mathematical approach to the derivation of the theoretical optical potential, Nuovo Cimento, 2A, 579-604
  97. M. Bertero, 1971, On the spectrum of an operator introduced by Feshbach in the formulation of the optical potential, Nuovo Cimento, 2A, 605-614
  98. M. Bertero, and G. Dillon, 1971, An outline of scattering theory for absorptive potentials, Nuovo Cimento, 2A, 1024-1038
  99. M. Bertero, G. Talenti, and G.A. Viano, 1969, Eigenfunction expansions associated with Schroedinger two-particle operators, Nuovo Cimento, 62A, 27-87
  100. M. Bertero, and H.J.Kreuzer, 1968, Proof of a conjecture on the behaviour of the scattering amplitude for large imaginary angular momenta, Nuclear Physics, B5, 619-626
  101. M. Bertero, G.Talenti, and G.A. Viano, 1968, Bound states and Levinson's theorem for a class of nonlocal potentials (S-wave), Nuclear Physics, A113, 625-640
  102. M. Bertero, G. Talenti, and G.A. Viano, 1968, A note on nonlocal potentials, Nuclear Physics, A115, 395-404
  103. M. Bertero, and G.A. Viano, 1967, Coulomb effects on the singularity at k = 0 of the partial-wave amplitude, Nuclear Physics, B1, 317-334
  104. M. Bertero, G. Talenti, and G.A. Viano, 1967, Scattering and bound state solutions for a class of nonlocal potentials (S-wave), Commun. Math. Phys., 6, 128-150
  105. M. Bertero, and H.J. Kreuzer, 1967, Bound on the double spectral function for a class of Yukawian potentials, Nuclear Physics, B3, 195-206
  106. M. Bertero, G. Passatore, and G.A. Viano, 1967, A remark on the use of Siegert theorem in m--Capture, Nuovo Cimento, 52, 1379-1380
  107. M. Bertero, 1966, Some remarks about the asymptotic behaviour of the partial-wave amplitude for large angular momenta in potential scattering, Nuovo Cimento, 45, 740-746
  108. M. Bertero, G. Talenti, and G.A. Viano, 1966, The Born series for nonlocal potentials (S-wave), Nuovo Cimento, 46, 337-363
  109. M. Bertero, M. Carrassi, G. Passatore, and G.A. Viano, 1965, Further analysis of a - C12 scattering process by Regge representation, Nuovo Cimento, 36, 954-964
  110. M. Bertero, G. Passatore, and G.A. Viano, 1965, Muon capture by the virtual pions exchanged by proton pairs in a nucleus, Nuovo Cimento, 38, 1669-1687
  111. M. Bertero, and G.A. Viano, 1965, On the numerical analytic continuation of the proton electromagnetic form factors, Nuovo Cimento, 39, 1915-1920
  112. E. Albino, M. Bertero, and G.A. Viano, 1964, An analyticity test in the theory of complex angular momentum, Nuovo Cimento, 32, 1269-1294
  113. M. Bertero, 1962, Errors and self-learning in PAPA, Suppl. Nuovo Cimento, 23, 184-190 (PAPA picture)

E) Conference proceedings

  1. R. Hofferbert + LINC-NIRVANA team, 2012, LINC-NIRVANA for the LBT: Setting up the world' largest NIR binocular for astronomy, Proc. SPIE, to appear (pdf file)
  2. A. La Camera, S. Antoniucci, M. Bertero, P. Boccacci, D. Lorenzetti, and B. Nisini, 2012, Image reconstruction for observations with a high dynamic range: LINC-NIRVANA simulations of a stellar jet, Proc. SPIE, to appear (pdf file)
  3. A. La Camera,M. Carbillet, C. Olivieri, P. Boccacci, and M. Bertero, 2012, AIRY: a complete tool for the simulation and the reconstruction of astronomical images, Proc. SPIE, to appear (pdf file)
  4. P. Ciliegi, A. La Camera, C. Arcidiacono, M. Bertero, P. Boccacci, E. Diolaiti, I. Foppiani, M. Lombini and L. Schreiber, 2010, Analysis of LBT LINC-NIRVANA simulated images of galaxies, Proc. SPIE, Vol. 7734, Optical and Infrared Interferometry II, eds. W. C. Danchi, F. Delplancke and J. K. Rajagopal, 7734-88 (pdf file)
  5. S. Bonettini, F. Benvenuto, R. Zanella, L. Zanni, and M. Bertero,  2009, Gradient projection approaches for optimization problems in image deblurring and denoising, Proc. of  17th European Signal Processing Conference (EUSIPCO2009), 1384-1388 (pdf file)
  6. S. Bonettini, R. Zanella, L. Zanni, and M. Bertero, 2008, Accelerated gradient methods for constrained image deblurring, J. Physics: Conf. Series, 6ICIPE: Theory and Practice, 012022 (http://www.iop.org/EJ/toc/1742-6596/135/1) (pdf file)
  7. G. Desiderà, A. La Camera, P. Boccacci, M. Bertero, and M. Carbillet, 2008, AIRY-LN: an ad-hoc numerical tool for deconvolution of images from the LBT instrument LINC-NIRVANA, Proc. SPIE, Vol. 7013, Optical and Infrared Interferometry, eds. M. Schoeller, W. C. Dauchi, and F. Delplancke, 701340 (ps file)
  8. P. Ciliegi, A. La Camera, G. Desiderà, S. Antoniucci, C. Arcidiacono, M. Lombini, E. Diolaiti, E. Bellocchi, F. Mannucci, M. Bertero, P. Boccacci, D. Lorenzetti, and B. Nisini, 2008, Analysis of LBT LINC-NIRVANA simulated images of galaxies and young stellar objects,  Proc. SPIE, Vol. 7013, Optical and Infrared Interferometry, eds. M. Schoeller, W. C. Dauchi, and F. Delplancke, 701335 (pdf file)
  9. M. Bertero, P. Boccacci, G. Desiderà, and G. Vicidomini, 2006, High-resolution imaging by multiple-image deconvolution, 5-th International Workshop on Information Optics, WIO'06, AIP Conf. Proc. 860, eds. G. Cristòbal, B. Javidi, and S. Vallmitjana, 3-14 (pdf file)
  10. B. Anconelli, M. Bertero, P. Boccacci, M. Carbillet, and H. Lantéri, 2005, Iterative methods for the reconstruction of LINC-NIRVANA images, Signal Recovery and Synthesis 2005, Technical Digest (opt. Soc. Amer.), paper SMC1 (pdf file)
  11. B. Anconelli, M. Bertero, P. Boccacci, M. Carbillet, H. Lanteri, and S. Correia, 2004, Deconvolution methods for LINC-NIRVANA data reduction, Proc. SPIE, Vol. 5491, New Frontiers in Stellar Interferometry, ed. W. A. Traud, 932-943 (pdf file)
  12. M. Carbillet, C. Verinaud, M. Guarracino, L. Fini, O. Lardiere, B. Le Roux, A. Puglisi, B. Femenia, A. Riccardi, B. Anconelli, S. Correia, M. Bertero, and P. Boccacci, 2004, CAOS - a numerical simulation tool for astronomical adaptive optics (and beyond), Proc. SPIE, Vol. 5490, Advancements in Adaptive Optics, eds. D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni, 636-648 (pdf file)
  13. M. Bertero, B. Anconelli, P. Boccacci, M. Carbillet, H. Lanteri, and C. Theys, 2004, The Large Binocular Telescope: challenging problems in image restoration, Proc. of ADA-III (Astronomical Data Analysis-III) Conference, Sant'Agata sui due Golfi, Italy, 29 April - 1 May 2004), eds. F. Murtagh, G. Longo, J.-L. Starck, and V, Di Gesu', 2004 eWIC Conferences (http://www.iastro.org) (pdf file)
  14. M. Bertero, P. Boccacci, A. Custo, and M. Robberto, 2002, Restoration methods for astronomical images at mid-infrared wavelengths, Proc. SPIE Vol. 4791, Advanced Signal Processing Algorithms, Architectures, and Implementations XII, ed. F. T. Luk, 201-209
  15. M. Carbillet, S. Correia, P. Boccacci, and M. Bertero, 2002, Performance of the restoration of interferometric images from the Large Binocular Telescope - the effects of angular coverage and partial adaptive optics correction, Proc. SPIE Vol. 4838, Interferometry for Optical Astronomy II, ed. W. A. Traub, 444-455 (pdf file)
  16. S. Correia, M. Carbillet, L. Fini, M. Bertero, P. Boccacci, A. Vallenari, A. Richichi, and M. Barbati, 2001, AIRY: Astronomical Image Restoration in interferometrY, ASP Conf. Ser. Vol. 238, Astronomical Data Analysis Software and Systems X , eds. F. R. Harnden Jr., F. A. Primini, and H. E. Payne, 404-407 (ASP, San Francisco) (pdf file)
  17. M. Bertero, P. Boccacci, and M. Robberto, 2000, Image restoration in thermal infrared astronomy, in Large-Scale Scientific Computations of Engineering and Environmental Problems II, eds. M. Griebel, S. Margenov, and P. Yalamov, Notes on Numerical Fluid Mechanics, Vol. 73, 250-256 (Vieweg, Braunschweig/Wiesbaden)
  18. M. Bertero, and P. Boccacci, 2000, Image restoration problems for new-generation telescopes, in Progree in Industrial Mathematics at ECMI 2000, eds. A. M. Anile, V. Capasso, and A. Greco, Mathematics in Industry, Vol. 1, 91-95 (Springer, Berlin)
  19. M. Bertero, P. Boccacci, S. Correia, and A. Richichi, 2000, Tomographic methods for the restoration of LBT images, Proc. SPIE, Vol. 4006, Interferometry in Optical Astronomy, eds. P.J. Lena, and A. Quirrenbach, 514-522
  20. S. Correia, M. Carbillet, A. Richichi, M. Bertero, and P. Boccacci, 2000, Large Binocular Telescope image restoration using simulated adaptively corrected point-spread functions, Proc. SPIE, Vol. 4006, Interferometry in Optical Astronomy, eds. P.J. Lena, and A. Quirrenbach, 650-658 (pdf file)
  21. M. Bertero, P. Boccacci, and M. Robberto, 1998, An inversion method for the restoration of chopped and nodded images, Proc. SPIE, Vol. 3354, Infrared Astronomical Instrumentation, ed. A.M. Fowler, 877-886
  22. M. Bertero, P. Boccacci, and M. Piana, 1997, Resolution and super-resolution in inverse diffraction, in Inverse Problems of Wave Propagation and Diffraction, eds. G. Chavent, and P.C. Sabatier, Lecture Notes in Physics, Vol. 486, 1-17 (Springer, Berlin)
  23. M. Bertero, and C. De Mol, 1995, SVD for linear inverse problems, in SVD and Signal Processing, III, eds. M. Moonen, and B. De Moor, 341-348 (Elsevier, Amsterdam)
  24. M. Piana, and M. Bertero, 1995, Deconvolution of multiple images, Proc. SPIE, Vol. 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, eds. R.L. Barbour, M.J. Carvlin, and M.A. Fiddy, 267-275
  25. M. Bertero, P. Boccacci, D. Brunengo, M. Gambaro, and A. Schenone, 1995, 2D deconvolution of SPECT images using morphological information, Proc. SPIE, Vol. 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, eds. R.L. Barbour, M.J. Carvlin, and M.A. Fiddy, 163-171
  26. M. Bertero, F. Maggio, E.R. Pike, and D. Fish, 1994, Assessment of methods used for reconstructing HST images, in The Restoration of HST Images and Spectra II, eds R.J. Hanish, and R.L. White, 300-307 (Space Telescope Science Institute, Baltimore)
  27. M. Bertero, and E.R. Pike, 1994, Inverse problems in particle sizing and confocal microscopy, in Inverse Problems and Optimal Design in Industry, eds. J. McLaughlin, and H.W. Engl, 9-25 (Teubner, Stuttgart)
  28. M. Bertero, and P. Boccacci, 1993, An approach to inverse problems based on epsilon-entropy, in Inverse Problems: Principles and Applications in Geophysics, Technology and Medicine, eds. G. Anger et al., Mathematical Research, Vol.74, 76-96 (Akademic Verlag, Berlin)
  29. M. Bertero, 1992, Sampling theory, resolution limits and inversion methods, in Inverse Problems in Scattering and Imaging, eds. M. Bertero, and E.R. Pike, 71-94 (Adam Hilger, Bristol)
  30. M. Bertero, and E.R. Pike, 1990, A new optical processor for superresolution in confocal scanning microscopy, Proc. SPIE, Vol. 1319, ICO 15 - Optics in Complex Systems, eds. F. Lanzl et al., 466-467
  31. M. Bertero, C. De Mol, and E.R. Pike, 1990, Application of singular systems to some data reduction problems in modern optics, in Inverse Problems in Action, ed. P.C. Sabatier, Inverse Problems and Theoretical Imaging, 248-261 (Springer, New York).
  32. M. Bertero, and P. Boccacci, 1989, Linear inverse problems in confocal light microscopy, in Electromagnetic and Acoustic Scattering: Detection and Inverse Problem, eds. C. Bourrely, P. Chiapetta, and B. Torresani, 335-347 (World Scientific, Singapore)
  33. M. Bertero, P. Boccacci, G.J. Brakenhoff, F. Malfanti, and H.T.M. van der Voort, 1989, Three-dimensional image restoration in fluorescence confocal scanning microscopy, Proc. SPIE, Vol. 1139, Optical Storage and Scanning Technology, ed. T. Wilson, 86-91
  34. M. Bertero, C. De Mol, and E.R. Pike, 1988, Particle sizing by inversion of extinction data, in Optical Particle Sizing: Theory and Practice, eds. G. Gouesbet, and G. Grehan, 55-61 (Plenum Press, New York)
  35. M. Bertero, P. Boccacci, C. De Mol, and E.R. Pike, 1988, Extraction of polydispersity information in photon correlation spectroscopy, in Optical Particle Sizing: Theory and Practice, eds. G. Gouesbet, and G. Grehan, 89-98 (Plenum Press, New York)
  36. M. Bertero, P. Boccacci, C. De Mol, and E.R. Pike, 1988, Particle size distributions from Fraunhofer diffraction, in Optical Particle Sizing: Theory and Practice, eds. G. Gouesbet, and G. Grehan, 99-105 (Plenum Press, New York)
  37. M. Bertero, P. Boccacci, and E.R. Pike, 1988, Inverse problems in fluorescence confocal scanning microscopy, Proc. SPIE, Vol. 1028, Scanning Imaging, ed. T. Wilson, 33-38
  38. M. Bertero, P. Boccacci, P. Brianzi, and E.R. Pike, 1987, Inverse problems in confocal scanning microscopy, in Inverse Problems: An Interdisciplinary Study, ed. P.C. Sabatier, Advances in Electronics and Electron Physics, Supplement 19, 225-239 (Academic Press, New York).
  39. M. Bertero, C. De Mol, and E.R. Pike, 1987, Applied inverse problems in optics, in Inverse and Ill-Posed Problems, eds. H.W. Engl, and C.W. Groetsch, Notes and Reports in Mathematics, in Science and Engineering, Vol.4, 291-313 (Academic Press, New York)
  40. M. Bertero, C. De Mol, and E.R. Pike, 1987, Inversion of light scattering data by singular system analysis, Proc. SPIE, Vol. 808, Inverse Problems in Optics, ed. E.R. Pike, 84-88
  41. M. Bertero, P. Boccacci, P. Brianzi, C. De Mol, and E.R. Pike, 1987, Singular bases for image processing in confocal scanning microscopy, Proc. SPIE, Vol. 809, Scanning Imaging Technology, eds. T. Wilson, and L. Balk, 114-117
  42. E.R. Pike, M. Bertero, and C. De Mol, 1987, A new inversion procedure for confocal scanning microscopy and other bandlimited signal processing problems, Proc. SPIE, Vol. 813, Optics and the Information Age, ed. H.Harsenault, 159-160
  43. M. Bertero, C. De Mol, and E.R. Pike, 1985, Stability and resolution in EM inverse problems-Part I, in Inverse Methods in Electromagnetic Imaging - Part I, eds. W.M. Boerner et al., NATO ASI Series, Series C: Mathematical and Physical Sciences, Vol. 143, 319-328 (Reidel, Dordrecht).
  44. M. Bertero, C. De Mol, and E.R. Pike, 1985, Stability and resolution in EM inverse problems-Part II, in Inverse Methods in Electromagnetic Imaging - Part I, eds. W.M. Boerner et al., NATO ASI Series, Series C: Mathematical and Physical Sciences, Vol. 143, 329-340 (Reidel, Dordrecht)
  45. M. Bertero, and E.R. Pike, 1983, On the extraction of polydispersity information in photon correlation spectroscopy, in Photon Correlation Techniques in Fluid Mechanics, ed. E.D. Schulz-Du Bois, Optical Sciences, Vol. 38, 298-302 (Springer, Berlin)
  46. M. Bertero, C. De Mol, and G.A. Viano, 1978, On the regularization of linear inverse problems in Fourier optics, in Applied Inverse Problems, ed. P.C. Sabatier, Lecture Notes in Physics, Vol. 85, 180-199 (Springer, Berlin)

F) Other publications

  1. M. Bertero, 1999, Matematica e immagini: alcuni esempi di applicazioni, Bollettino U.M.I. - Sezione A: La matematica nella societa' e nella cultura, Vol. II-A, 47-67
  2. M. Bertero, P. Brianzi, and E.R. Pike, 1983, Singular value decomposition of the Laplace transform inversion with discrete data, Pubblicazioni dell'Istituto di Analisi Globale e Applicazioni, Serie Problemi non ben posti ed inversi, No. 11
  3. M. Bertero, 1982, Problemi lineari non ben posti e metodi di regolarizzazione, Pubblicazioni dell'Istituto di Analisi Globale e Applicazioni, Serie Problemi non ben posti ed inversi, No. 4
  4. M. Bertero, 1968, Fondamenti matematici della teoria quantistica dello scattering per sistemi a N corpi, Scuola di Perfezionamento in Fisica dell'Universita' di Genova

G) Patents

  1. M. Bertero, and E.R. Pike, Diffraction limited imaging systems, Patent application number 82 06, 923, 1982
  2. J.G. Walker, E.R. Pike, and M. Bertero, Scanning confocal microscopy, Patent application number 89 13, 129.6, 1989