OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 34 — Dec. 1, 2008
  • pp: 6350–6356

Analytical determination of the uncertainty and the optimum sampling frequency for one-dimensional images with noise

Luis Miguel Sanchez-Brea and Philip Siegmann  »View Author Affiliations


Applied Optics, Vol. 47, Issue 34, pp. 6350-6356 (2008)
http://dx.doi.org/10.1364/AO.47.006350


View Full Text Article

Enhanced HTML    Acrobat PDF (650 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Kriging is an estimation technique that has been proved useful in image processing since it behaves, under regular sampling, as a convolution. The uncertainty obtained with kriging has also been shown to behave as a convolution for the case of regular sampling. The convolution kernel for the uncertainty exclusively depends on the spatial correlation properties of the image. In this work we obtain, first, analytical expressions for the uncertainty of 1D images with noise using this convolution procedure. Then, we use this uncertainty to propose a new criterion for determining whether a 1D image with noise is correctly sampled.

© 2008 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.2960) Image processing : Image analysis

ToC Category:
Image Processing

History
Original Manuscript: April 21, 2008
Revised Manuscript: October 9, 2008
Manuscript Accepted: October 23, 2008
Published: November 21, 2008

Citation
Luis Miguel Sanchez-Brea and Philip Siegmann, "Analytical determination of the uncertainty and the optimum sampling frequency for one-dimensional images with noise," Appl. Opt. 47, 6350-6356 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-34-6350

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. Figure files 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

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited