III WVC 2007 - Iris.sel.eesc.sc.usp.br - USP

WVC'2007 - III Workshop de Visão Computacional, 22 a 24 de Outubro de 2007, São José do Rio Preto, SP.(a)(b)(c)Figure 3. (a) a section of the restored image usingthe RL algorithm with 205 iteractions; (b) restoredimage section using the RLM algorithmwith 241 iteractions; (c) restored image sectionusing the RLA algorithm with 242 iteractions.AcknowledgmentsThe work of Murillo R. P. Homem was supportedby FAPESP, Brazil, grant numbers 04/01632-1 and2002/07153-2.References[1] D. A. Agard. Optical sectioning microscopy: Cellular architecturein three dimensions. Ann. Rev. Biophys. Bioeng,13:191–219, 1984.[2] H. C. Andrews and B. R. Hunt. Digital Image Restoration.Prentice-Hall, Inc., 1977.[3] F. J. Anscombe. The transformation of poisson, binomial andnegative-binomial data. Biometrika, 15:246–254, 1948.[4] M. Bertero and P. Boccacci. Introduction to Inverse Problemsin Imaging. Institute of Physics Publishing, 1998.[5] J. A. Conchello. Super-resolution and convergenceproperties of the expectation-maximization algorithm formaximum-likelihood deconvolution of incoherent images. J.Opt. Soc. Am. A, 15(10):2609–2620, 1998.[6] J. A. Conchello and E. W. Hansen. Enhanced 3-D reconstructionfrom confocal scanning microscope images. 1: Deterministicand maximum likelihood reconstructions. AppliedOptics, 29(26):3795–3804, 1990.[7] F. S. Gibson and F. Lanni. Diffraction by a circular apertureas a model for three-dimensional optical microscopy. J. Opt.Soc. Am. A, 6(9):1357–1367, 1989.[8] F. S. Gibson and F. Lanni. Measured and Analytical PointSpread Functions of the Optical Microscope for use in3D Optical Serial Sectioning Microscopy, In: Optical Microscopyfor Biology. Wiley-Liss, Inc., New York, NY, 1990.[9] F. S. Gibson and F. Lanni. Experimental test of an analyticalmodel of aberration in an oil-immersion objective lens usedin three-dimensional light microscopy. J. Opt. Soc. Am. A,8(11):1601–1613, 1991.[10] J. W. Goodman. Introduction to Fourier Optics. TheMcGraw-Hill Companies, Inc., 1996.[11] T. J. Holmes and Y. H. Liu. Maximum-likelihood imagerestoration adapted for noncoherent optical imaging. J. Opt.Soc. Am. A, 5(5):666–673, 1988.[12] T. J. Holmes and Y. H. Liu. Richardson-Lucy/maximumlikelihood image restoration algorithm for fluorescence microscopy:Further testing. Appl. Opt, 28(22):4930–4938,1989.[13] T. J. Holmes and Y. H. Liu. Acceleration of maximumlikelihoodimage restoration for fluorescence microscopyand other noncoherent imagery. J. Opt. Soc. Am. A,8(6):893–907, 1991.[14] B. R. Hunt. Super-resolution of images: Algorithms, principles,performance. International Journal of Imaging Systemsand Technology, 6:297–304, 1995.[15] T. Inouye. Square root transform for the analysis of quantumflutuations in spectrum data. Nuclear Instruments andMethod, 91:581–584, 1971.[16] L. B. Lucy. An iterative technique for the rectification of observeddistributions. Astron. J., 79:745–759, 1974.[17] J. Markham and J. A. Conchello. Fast maximum-likelihoodimage restoration algorithms for three-dimensional fluorescencemicroscopy. J. Opt. Soc. Am. A, 18(5):1062–1071,2001.[18] J. G. McNally, J. A. Conchello, F. U. Rosenberger, C. Preza,and J. Markhan. Tutorial - image restoration for 3-D microscopy.IBC, Washington University, St. Louis, MO, April1996.[19] J. G. McNally, T. Karpova, J. Cooper, and J. A. Conchello.Three-dimensional imaging by deconvolution microscopy.Methods, 19(3):373–385, 1999.[20] J. G. McNally, J. Markham, and J. A. Conchello. Comparingmethods for 3D microscopy. In: Three-DimensionalMicroscopy: Image Acquisition and Processing, C. J.Cogswell, J. -A. Conchello, and T. Wilson (Eds.), Proc. SPIE,3261:108–116, 1998.137