Journal ArticleDOI
Blind deconvolution of fluorescence micrographs by maximum-likelihood estimation
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TLDR
This work reports some recent algorithmic refinements and the resulting simulated and real image reconstructions of fluorescence micrographs by using a blind-deconvolution algorithm based on maximum likelihood estimation, which shows a remarkable similarity with a PSF measurement taken for the same data set, provided by Agard and colleagues.Abstract:
We report some recent algorithmic refinements and the resulting simulated and real image reconstructions of fluorescence micrographs by using a blind-deconvolution algorithm based on maximum-likelihood estimation. Blind-deconvolution methods encompass those that do not require either calibrated or theoretical predetermination of the point-spread function (PSF). Instead, a blind deconvolution reconstructs the PSF concurrently with deblurring of the image data. Two-dimensional computer simulations give some definitive evidence of the integrity of the reconstructions of both the fluorescence concentration and the PSF. A reconstructed image and a reconstructed PSF from a two-dimensional fluorescent data set show that the blind version of the algorithm produces images that are comparable with those previously produced by a precursory nonblind version of the algorithm. They furthermore show a remarkable similarity, albeit not perfectly identical, with a PSF measurement taken for the same data set, provided by Agard and colleagues. A reconstructed image of a three-dimensional confocal data set shows a substantial axial smear removal. There is currently an existing trade-off in using the blind deconvolution in that it converges at a slightly slower rate than the nonblind approach. Future research, of course, will address this present limitation.read more
Citations
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Journal ArticleDOI
Deconvolution methods for 3-D fluorescence microscopy images
Pinaki Sarder,Arye Nehorai +1 more
TL;DR: This paper presents an overview of various deconvolution techniques of 3D fluorescence microscopy images and provides a summary of the microscope point-spread function (PSF), which often creates the most severe distortion in the acquired 3D image.
Journal ArticleDOI
Linear Systems, Fourier Transforms and Optics
TL;DR: In this paper, a linear system, Fourier transform and Optica Acta: International Journal of Optics: Vol. 26, No. 7, pp. 836-836.
Journal ArticleDOI
A novel blind deconvolution scheme for image restoration using recursive filtering
TL;DR: This work presents a novel blind deconvolution technique for the restoration of linearly degraded images without explicit knowledge of either the original image or the point spread function, and proposes a novel support-finding algorithm.
Journal ArticleDOI
Blind image deconvolution revisited
TL;DR: The article discusses the major approaches, such as projection based blind deconvolution and maximum likelihood restoration, which were overlooked previously (see ibid., no.5, 1996).
Book ChapterDOI
Light Microscopic Images Reconstructed by Maximum Likelihood Deconvolution
Timothy J. Holmes,Timothy J. Holmes,Santosh Bhattacharyya,Joshua Cooper,David K. Hanzel,Vijaykumar Krishnamurthi,Wen-Chieh Lin,Wen-Chieh Lin,Badrinath Roysam,Badrinath Roysam,Donald H. Szarowski,James N. Turner,James N. Turner +12 more
TL;DR: The main purpose of this chapter is to introduce the reader to the methodology of maximum likelihood (ML)-based deblurring algorithms, aimed at the interdisciplinary scientist who needs to understand the main principles behind the algorithms used.
References
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Maximum likelihood from incomplete data via the EM algorithm
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Maximum Likelihood Reconstruction for Emission Tomography
L. A. Shepp,Y. Vardi +1 more
TL;DR: In this paper, the authors proposed a more accurate general mathematical model for ET where an unknown emission density generates, and is to be reconstructed from, the number of counts n*(d) in each of D detector units d. Within the model, they gave an algorithm for determining an estimate? of? which maximizes the probability p(n*|?) of observing the actual detector count data n* over all possible densities?.
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Super-resolution through Error Energy Reduction
TL;DR: A computational procedure is devised which must reduce a defined ‘error energy’ which is implicit in the truncated spectrum and it is demonstrated that by so doing, resolution well beyond the diffraction limit is attained.
Journal ArticleDOI
Iterative blind deconvolution method and its applications
G. R. Ayers,J. C. Dainty +1 more
TL;DR: A simple iterative technique has been developed for blind deconvolution of two convolved functions and a number of results obtained from a computational implementation are presented.
Journal ArticleDOI
The Frequency Response of a Defocused Optical System
TL;DR: In this paper, the response of a defocused aberration-free optical system to line-frequencies in the object is studied analytically, and curves are given showing the response as a function of line-frequency for a range of values of defect of focus.