Estimation of the standard deviation in three-dimensional microscopy by spatial statistics



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Sánchez Brea, Luis Miguel and Bernabeu Martínez, Eusebio (2005) Estimation of the standard deviation in three-dimensional microscopy by spatial statistics. Journal of Microscopy, 218 (2). pp. 193-197. ISSN 0022-2720

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Usually, the calibration process for three-dimensional microscopy involves the use of a reference flat surface. The random fluctuations of the topographic image for this reference surface are used for determining the uncertainty of the microscope. When the sample material or the measuring conditions of the microscope are modified (such as the objective used in a confocal microscope, or the tip in an atomic force microscope), the measuring conditions vary and thus a new calibration is required. In this work, a technique based on spatial statistics methods (more specifically, the variogram function) is proposed to determine accurately the standard deviation for three-dimensional microscopy that does not require a reference flat surface and therefore eliminates the need for a previous calibration process of this parameter.

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© 2005 The Royal Microscopical Society.
The authors thank Javier Alda for his fruitful discussions and interest in this research. This work has been supported by the Secretaría de Estado de Política Científica y Tecnológica (Spain), project DPI2001-1238. Dr. Sánchez-Brea is currently contracted within the frame of the ‘Ramón y Cajal’ research program of the Ministerio de Educación y Ciencia of Spain.

Uncontrolled Keywords:Calibration, Spatial Statistics, Standard Deviation, Three-Dimensional Microscopy, Variogram
Subjects:Sciences > Physics > Optics
ID Code:26739
Deposited On:25 Sep 2014 10:45
Last Modified:31 Dec 2020 00:03

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