Determination of the optimum sampling frequency of noisy images by spatial statistics
Applied Optics, Vol. 44, Issue 16, pp. 3276-3283 (2005)
http://dx.doi.org/10.1364/AO.44.003276
Acrobat PDF (570 KB)
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.
© 2005 Optical Society of America
OCIS Codes
(040.1520) Detectors : CCD, charge-coupled device
(100.2650) Image processing : Fringe analysis
(100.2960) Image processing : Image analysis
(110.4280) Imaging systems : Noise in imaging systems
(120.3940) Instrumentation, measurement, and metrology : Metrology
Citation
Luis Miguel Sanchez-Brea and Eusebio Bernabeu, "Determination of the optimum sampling frequency of noisy images by spatial statistics," Appl. Opt. 44, 3276-3283 (2005)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-16-3276
You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
Related Journal Articles 
- The Rose model, revisited (JOSAA)
- Prediction of human observer performance by numerical observers: an experimental study (JOSAA)
- Estimation of errors in luminance signals encoded by primate retina resulting from sampling of natural images with red and green cones (JOSAA)
- Convergent, recursive phase reconstruction from noisy, modulated intensity patterns by use of synthetic interferograms (OL)
- Quantization Error of CCD Cameras and Their Influence on Phase Calculation in Fringe Pattern Analysis (AO)
Related Conference Papers
- Ti:Sapphire Lasers for Frequency Metrology Spanning the Visible and Infrared Spectrum without Nonlinear Fiber
- Ultra-sensitive ambient trace-gas sensor using CO2 lasers and photoacoustic spectroscopy
- Agricultural ammonia sensor using diode lasers and photoacoustic spectroscopy
- A New Technique to Study Anisoplanatic AO Images of Crowded Fields
- In vivo detection of intrinsic optical signal changes in rat spinal cord due to formalin using a multi-wavelength CCD camera
« Previous Article | Next Article »
OSA is a member of 