On the reconstructability of images sampled by random line projections

Omry Sendik*, Hagit Messer

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper addresses the problem of sampling a two dimensional function (an image) by projections along lines with an arbitrary geometry. By usage of the Papoulis Generalized Sampling Expansion theorem, and addressing the problem of missing samples, we are able to state, for any given sampling realization, which sampling schemes will yield reconstructable images and what sampling (Nyquist) frequency is required for this realization. Finally, we apply this technique on two examples, and demonstrate that with certain geometries the function is reconstructable, while with others it is not.

Original languageEnglish
Title of host publication2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
DOIs
StatePublished - 2012
Event2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 - Eilat, Israel
Duration: 14 Nov 201217 Nov 2012

Publication series

Name2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012

Conference

Conference2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
Country/TerritoryIsrael
CityEilat
Period14/11/1217/11/12

Keywords

  • Environmental Monitoring
  • Generalized Sampling Expansions
  • Missing Samples
  • Non-Uniform Sampling
  • Nyquist Sampling Frequency

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