author_facet Schaefer, L. H.
Schuster, D.
Herz, H.
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Herz, H.
author Schaefer, L. H.
Schuster, D.
Herz, H.
spellingShingle Schaefer, L. H.
Schuster, D.
Herz, H.
Journal of Microscopy
Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
Histology
Pathology and Forensic Medicine
author_sort schaefer, l. h.
spelling Schaefer, L. H. Schuster, D. Herz, H. 0022-2720 1365-2818 Wiley Histology Pathology and Forensic Medicine http://dx.doi.org/10.1046/j.1365-2818.2001.00949.x <jats:p>For deconvolution applications in three‐dimensional microscopy we derived and implemented a generic, accelerated maximum likelihood image restoration algorithm. A conjugate gradient iteration scheme was used considering either Gaussian or Poisson noise models. Poisson models are better suited to low intensity fluorescent image data; typically, they show smaller restoration errors and smoother results. For the regularization, we modified the standard Tikhonov method. However, the generic design of the algorithm allows for more regularization approaches. The Hessian matrix of the restoration functional was used to determine the step size. We compared restoration error and convergence behaviour between the classical line‐search and the Hessian matrix method. Under typical working conditions, the restoration error did not increase over that of the line‐search and the speed of convergence did not significantly decrease allowing for a twofold increase in processing speed. To determine the regularization parameter, we modified the generalized cross‐validation method. Tests that were done on both simulated and experimental fluorescence wide‐field data show reliable results.</jats:p> Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy Journal of Microscopy
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title Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_unstemmed Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_full Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_fullStr Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_full_unstemmed Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_short Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_sort generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
topic Histology
Pathology and Forensic Medicine
url http://dx.doi.org/10.1046/j.1365-2818.2001.00949.x
publishDate 2001
physical 99-107
description <jats:p>For deconvolution applications in three‐dimensional microscopy we derived and implemented a generic, accelerated maximum likelihood image restoration algorithm. A conjugate gradient iteration scheme was used considering either Gaussian or Poisson noise models. Poisson models are better suited to low intensity fluorescent image data; typically, they show smaller restoration errors and smoother results. For the regularization, we modified the standard Tikhonov method. However, the generic design of the algorithm allows for more regularization approaches. The Hessian matrix of the restoration functional was used to determine the step size. We compared restoration error and convergence behaviour between the classical line‐search and the Hessian matrix method. Under typical working conditions, the restoration error did not increase over that of the line‐search and the speed of convergence did not significantly decrease allowing for a twofold increase in processing speed. To determine the regularization parameter, we modified the generalized cross‐validation method. Tests that were done on both simulated and experimental fluorescence wide‐field data show reliable results.</jats:p>
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author Schaefer, L. H., Schuster, D., Herz, H.
author_facet Schaefer, L. H., Schuster, D., Herz, H., Schaefer, L. H., Schuster, D., Herz, H.
author_sort schaefer, l. h.
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description <jats:p>For deconvolution applications in three‐dimensional microscopy we derived and implemented a generic, accelerated maximum likelihood image restoration algorithm. A conjugate gradient iteration scheme was used considering either Gaussian or Poisson noise models. Poisson models are better suited to low intensity fluorescent image data; typically, they show smaller restoration errors and smoother results. For the regularization, we modified the standard Tikhonov method. However, the generic design of the algorithm allows for more regularization approaches. The Hessian matrix of the restoration functional was used to determine the step size. We compared restoration error and convergence behaviour between the classical line‐search and the Hessian matrix method. Under typical working conditions, the restoration error did not increase over that of the line‐search and the speed of convergence did not significantly decrease allowing for a twofold increase in processing speed. To determine the regularization parameter, we modified the generalized cross‐validation method. Tests that were done on both simulated and experimental fluorescence wide‐field data show reliable results.</jats:p>
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spelling Schaefer, L. H. Schuster, D. Herz, H. 0022-2720 1365-2818 Wiley Histology Pathology and Forensic Medicine http://dx.doi.org/10.1046/j.1365-2818.2001.00949.x <jats:p>For deconvolution applications in three‐dimensional microscopy we derived and implemented a generic, accelerated maximum likelihood image restoration algorithm. A conjugate gradient iteration scheme was used considering either Gaussian or Poisson noise models. Poisson models are better suited to low intensity fluorescent image data; typically, they show smaller restoration errors and smoother results. For the regularization, we modified the standard Tikhonov method. However, the generic design of the algorithm allows for more regularization approaches. The Hessian matrix of the restoration functional was used to determine the step size. We compared restoration error and convergence behaviour between the classical line‐search and the Hessian matrix method. Under typical working conditions, the restoration error did not increase over that of the line‐search and the speed of convergence did not significantly decrease allowing for a twofold increase in processing speed. To determine the regularization parameter, we modified the generalized cross‐validation method. Tests that were done on both simulated and experimental fluorescence wide‐field data show reliable results.</jats:p> Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy Journal of Microscopy
spellingShingle Schaefer, L. H., Schuster, D., Herz, H., Journal of Microscopy, Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy, Histology, Pathology and Forensic Medicine
title Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_full Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_fullStr Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_full_unstemmed Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_short Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_sort generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
title_unstemmed Generalized approach for accelerated maximum likelihood based image restoration applied to three‐dimensional fluorescence microscopy
topic Histology, Pathology and Forensic Medicine
url http://dx.doi.org/10.1046/j.1365-2818.2001.00949.x