RT Journal Article
T1 Determination of the optimum sampling frequency of noisy images by spatial statistics
A1 Sánchez Brea, Luis Miguel
A1 Bernabeu Martínez, Eusebio
AB In optical metrology the final experimental result is normally an image acquired with a CCD camera. Owing to the sampling at the image, an interpolation is usually required. For determining the error in the measured parameters with that image, knowledge of the uncertainty at the interpolation is essential. We analyze how kriging, an estimator used in spatial statistics, can generate convolution kernels for filtering noise in regularly sampled images. The convolution kernel obtained with kriging explicitly depends on the spatial correlation and also on metrological conditions, such as the random fluctuations of the measured quantity, and the resolution of the measuring devices. Kriging, in addition, allows us to determine the uncertainty of the interpolation, and we have analyzed it in terms of the sampling frequency and the random fluctuations of the image, comparing it with Nyquist criterion. By use of kriging, it is possible to determine the optimum-required sampling frequency for a noisy image so that the uncertainty at interpolation is below a threshold value.
PB The Optical Society Of America
SN 1559-128X
YR 2005
FD 2005-06-01
LK https://hdl.handle.net/20.500.14352/51196
UL https://hdl.handle.net/20.500.14352/51196
LA eng
NO © 2005 Optical Society of America.L. M. Sánchez-Brea is contracted by the Universidad Complutense de Madrid within the Ramón y Cajal program, of the Ministerio de Educación y Ciencia of Spain.
NO Ministerio de Educación y Ciencia (MEC), España
NO Universidad Complutense de Madrid (UCM)
DS Docta Complutense
RD 21 abr 2025