Total variation denoising of probability measures using iterated function systems with probabilities

Davide La Torre, Franklin Mendivil, Edward R. Vrscay

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we present a total variation denoising problem for probability measures using the set of fixed point probability measures of iterated function systems with probabilities IFSP. By means of the Collage Theorem for contraction mappings, we provide an upper bound for this problem that can be solved by determining a set of probabilities.

Original languageEnglish
Title of host publicationICNPAA 2016 World Congress
Subtitle of host publication11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
PublisherAmerican Institute of Physics Inc.
Volume1798
ISBN (Electronic)9780735414648
DOIs
Publication statusPublished - Jan 27 2017
Event11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016 - La Rochelle, France
Duration: Jul 4 2016Jul 8 2016

Conference

Conference11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016
CountryFrance
CityLa Rochelle
Period7/4/167/8/16

Fingerprint

contraction
theorems

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

La Torre, D., Mendivil, F., & Vrscay, E. R. (2017). Total variation denoising of probability measures using iterated function systems with probabilities. In ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (Vol. 1798). [020091] American Institute of Physics Inc.. https://doi.org/10.1063/1.4972683

Total variation denoising of probability measures using iterated function systems with probabilities. / La Torre, Davide; Mendivil, Franklin; Vrscay, Edward R.

ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Vol. 1798 American Institute of Physics Inc., 2017. 020091.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

La Torre, D, Mendivil, F & Vrscay, ER 2017, Total variation denoising of probability measures using iterated function systems with probabilities. in ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. vol. 1798, 020091, American Institute of Physics Inc., 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016, La Rochelle, France, 7/4/16. https://doi.org/10.1063/1.4972683
La Torre D, Mendivil F, Vrscay ER. Total variation denoising of probability measures using iterated function systems with probabilities. In ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Vol. 1798. American Institute of Physics Inc. 2017. 020091 https://doi.org/10.1063/1.4972683
La Torre, Davide ; Mendivil, Franklin ; Vrscay, Edward R. / Total variation denoising of probability measures using iterated function systems with probabilities. ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Vol. 1798 American Institute of Physics Inc., 2017.
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