On the reconstructability of images sampled by random line projections

Omry Sendik; Hagit Messer

doi:10.1109/eeei.2012.6377060

On the reconstructability of images sampled by random line projections

Omry Sendik, Hagit Messer

Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Scopus citations

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 language	English
Title of host publication	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
DOIs	https://doi.org/10.1109/eeei.2012.6377060
State	Published - 2012
Externally published	Yes
Event	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 - Eilat, Israel Duration: 14 Nov 2012 → 17 Nov 2012

Publication series

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

Conference

Conference	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
Country/Territory	Israel
City	Eilat
Period	14/11/12 → 17/11/12

Keywords

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

Access to Document

10.1109/eeei.2012.6377060

Cite this

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title = "On the reconstructability of images sampled by random line projections",

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.",

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author = "Omry Sendik and Hagit Messer",

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Sendik, O & Messer, H 2012, On the reconstructability of images sampled by random line projections. in 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012., 6377060, 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012, 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012, Eilat, Israel, 14/11/12. https://doi.org/10.1109/eeei.2012.6377060

On the reconstructability of images sampled by random line projections. / Sendik, Omry; Messer, Hagit.
2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012. 2012. 6377060 (2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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On the reconstructability of images sampled by random line projections

Abstract

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Keywords

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