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Conference papers
Quantitative control of the error bounds of a fast super-resolution technique for microscopy and astronomy
Abstract : While the registration step is often problematic for super-resolution, many microscopes and telescopes are now equipped with a piezoelectric mechanical system which permits to ac-curately control their motion (down to nanometers). There-fore one can use such devices to acquire multiple images of the same scene at various controlled positions. Then a fast super-resolution algorithm [1] can be used for efficient super-resolution. However the minimal use of r 2 images for a resolution enhancement factor r is generally not sufficient to obtain good results. We propose to take several images at po-sitions randomly distributed close to each reference position. We study the number of images necessary to control the error resulting from the super-resolution algorithm by [1] due to the uncertainty on positions. The main result is a lower bound on the number of images to respect a given error upper bound with probability higher than a desired confidence level.
Cited literature [8 references]
https://hal.archives-ouvertes.fr/hal-01081402
Contributor : Pierre Chainais <>
Submitted on : Friday, November 7, 2014 - 4:41:24 PM
Last modification on : Friday, December 11, 2020 - 6:44:03 PM
Long-term archiving on: : Sunday, February 8, 2015 - 11:00:47 AM
Contributor : Pierre Chainais <>
Submitted on : Friday, November 7, 2014 - 4:41:24 PM
Last modification on : Friday, December 11, 2020 - 6:44:03 PM
Long-term archiving on: : Sunday, February 8, 2015 - 11:00:47 AM
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