Display options
Cite
Sanchez-Brea LM, Bernabeu E. Determination of the optimum sampling frequency of noisy images by spatial statistics. Appl Opt. 2005;44(16):3276-83doi: 10.1364/ao.44.003276.
Sanchez-Brea, L. M., & Bernabeu, E. (2005). Determination of the optimum sampling frequency of noisy images by spatial statistics. Applied optics, 44(16), 3276-83. https://doi.org/10.1364/ao.44.003276
Sanchez-Brea, Luis Miguel, and Bernabeu, Eusebio. "Determination of the optimum sampling frequency of noisy images by spatial statistics." Applied optics vol. 44,16 (2005): 3276-83. doi: https://doi.org/10.1364/ao.44.003276
Sanchez-Brea LM, Bernabeu E. Determination of the optimum sampling frequency of noisy images by spatial statistics. Appl Opt. 2005 Jun 01;44(16):3276-83. doi: 10.1364/ao.44.003276. PMID: 15943264.
Copy Download .nbib Format: NLM
Share it on

Appl Opt. 2005 Jun 01;44(16):3276-83. doi: 10.1364/ao.44.003276.

Determination of the optimum sampling frequency of noisy images by spatial statistics.

Applied optics

Luis Miguel Sanchez-Brea, Eusebio Bernabeu

Affiliations

  1. Departamento de Optica, Universidad Complutense de Madrid, Escuela Universitaria de Optica, Arcos del Jalon s/n. 28037 Madrid, Spain. [email protected]

PMID: 15943264 DOI: 10.1364/ao.44.003276

Abstract

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.

Publication Types