25 April 2008 Fast deconvolution with non-invariant PSF for 3-D fluorescence microscopy
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Abstract
The 3-D fluorescence microscope is a powerful method for imaging and studying living cells. However, the data acquired with conventional 3-D fluorescence microscope are not quantitatively significant for spatial distribution or volume evaluation of fluorescent areas in reason of distortions induced on data by the acquisition process. Theses distortions must be corrected for reliable measurements. The knowledge of the impulse response characterizing the instrument permits to consider the backward process retrieving the original data. One realize a deconvolution opposed to the convolution process induced by the microscope, projecting the 'object' space in the 'image' space. However, when the response of the system is not invariant in the observation field, the classical algorithms using Fourier Transform for computations are not usable. The contribution of this work is to present several approaches making it possible to use the Fourier Transform in non-invariance conditions and to simulate it's application in the 3-D fluorescence microscope problems.
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Elie Maalouf, Elie Maalouf, Bruno Colicchio, Bruno Colicchio, Alain Dieterlen, Alain Dieterlen, } "Fast deconvolution with non-invariant PSF for 3-D fluorescence microscopy", Proc. SPIE 7000, Optical and Digital Image Processing, 70001K (25 April 2008); doi: 10.1117/12.781400; https://doi.org/10.1117/12.781400
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