Reconstruction of Undersampled Atomic Force Microscopy Images

Interpolation versus Basis Pursuit

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

8 Citations (Scopus)
258 Downloads (Pure)

Abstract

Atomic force microscopy (AFM) is one of the most advanced tools for high-resolution imaging and manipulation of nanoscale matter. Unfortunately, standard AFM imaging requires a timescale on the order of seconds to minutes to acquire an image which makes it complicated to observe dynamic processes. Moreover, it is often required to take several images before a relevant observation region is identified. In this paper we show how to significantly reduce the image acquisition time by undersampling. The reconstruction of an undersampled AFM image can be viewed as an inpainting, interpolating problem, or a special case of compressed sensing. We argue that the preferred approach depends upon the type of image. Of the methods proposed for AFM, images containing high frequencies should be reconstructed using basis pursuit from data collected in a spiral pattern. Images without too much high frequency content should be reconstructed using interpolation.
Original languageEnglish
Title of host publicationThe 9th International Conference on Signal Image Technology and Internet Based Systems
PublisherIEEE Computer Society Press
Publication dateDec 2013
Pages130 - 135
ISBN (Print)978-1-4799-3211-5
DOIs
Publication statusPublished - Dec 2013
EventThe 9th International Conference on Signal Image Technology and Internet Based Systems - Kyoto, Japan
Duration: 2 Dec 20135 Dec 2013

Conference

ConferenceThe 9th International Conference on Signal Image Technology and Internet Based Systems
CountryJapan
CityKyoto
Period02/12/201305/12/2013

Fingerprint

interpolation
atomic force microscopy
manipulators
acquisition
high resolution

Cite this

Jensen, T. L., Arildsen, T., Østergaard, J., & Larsen, T. (2013). Reconstruction of Undersampled Atomic Force Microscopy Images: Interpolation versus Basis Pursuit. In The 9th International Conference on Signal Image Technology and Internet Based Systems (pp. 130 - 135 ). IEEE Computer Society Press. https://doi.org/10.1109/SITIS.2013.32
Jensen, Tobias Lindstrøm ; Arildsen, Thomas ; Østergaard, Jan ; Larsen, Torben. / Reconstruction of Undersampled Atomic Force Microscopy Images : Interpolation versus Basis Pursuit. The 9th International Conference on Signal Image Technology and Internet Based Systems. IEEE Computer Society Press, 2013. pp. 130 - 135
@inproceedings{aaf1095f59b54a878a5d2b9ceb2e6d35,
title = "Reconstruction of Undersampled Atomic Force Microscopy Images: Interpolation versus Basis Pursuit",
abstract = "Atomic force microscopy (AFM) is one of the most advanced tools for high-resolution imaging and manipulation of nanoscale matter. Unfortunately, standard AFM imaging requires a timescale on the order of seconds to minutes to acquire an image which makes it complicated to observe dynamic processes. Moreover, it is often required to take several images before a relevant observation region is identified. In this paper we show how to significantly reduce the image acquisition time by undersampling. The reconstruction of an undersampled AFM image can be viewed as an inpainting, interpolating problem, or a special case of compressed sensing. We argue that the preferred approach depends upon the type of image. Of the methods proposed for AFM, images containing high frequencies should be reconstructed using basis pursuit from data collected in a spiral pattern. Images without too much high frequency content should be reconstructed using interpolation.",
author = "Jensen, {Tobias Lindstr{\o}m} and Thomas Arildsen and Jan {\O}stergaard and Torben Larsen",
year = "2013",
month = "12",
doi = "10.1109/SITIS.2013.32",
language = "English",
isbn = "978-1-4799-3211-5",
pages = "130 -- 135",
booktitle = "The 9th International Conference on Signal Image Technology and Internet Based Systems",
publisher = "IEEE Computer Society Press",
address = "United States",

}

Jensen, TL, Arildsen, T, Østergaard, J & Larsen, T 2013, Reconstruction of Undersampled Atomic Force Microscopy Images: Interpolation versus Basis Pursuit. in The 9th International Conference on Signal Image Technology and Internet Based Systems. IEEE Computer Society Press, pp. 130 - 135 , The 9th International Conference on Signal Image Technology and Internet Based Systems, Kyoto, Japan, 02/12/2013. https://doi.org/10.1109/SITIS.2013.32

Reconstruction of Undersampled Atomic Force Microscopy Images : Interpolation versus Basis Pursuit. / Jensen, Tobias Lindstrøm; Arildsen, Thomas; Østergaard, Jan; Larsen, Torben.

The 9th International Conference on Signal Image Technology and Internet Based Systems. IEEE Computer Society Press, 2013. p. 130 - 135 .

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

TY - GEN

T1 - Reconstruction of Undersampled Atomic Force Microscopy Images

T2 - Interpolation versus Basis Pursuit

AU - Jensen, Tobias Lindstrøm

AU - Arildsen, Thomas

AU - Østergaard, Jan

AU - Larsen, Torben

PY - 2013/12

Y1 - 2013/12

N2 - Atomic force microscopy (AFM) is one of the most advanced tools for high-resolution imaging and manipulation of nanoscale matter. Unfortunately, standard AFM imaging requires a timescale on the order of seconds to minutes to acquire an image which makes it complicated to observe dynamic processes. Moreover, it is often required to take several images before a relevant observation region is identified. In this paper we show how to significantly reduce the image acquisition time by undersampling. The reconstruction of an undersampled AFM image can be viewed as an inpainting, interpolating problem, or a special case of compressed sensing. We argue that the preferred approach depends upon the type of image. Of the methods proposed for AFM, images containing high frequencies should be reconstructed using basis pursuit from data collected in a spiral pattern. Images without too much high frequency content should be reconstructed using interpolation.

AB - Atomic force microscopy (AFM) is one of the most advanced tools for high-resolution imaging and manipulation of nanoscale matter. Unfortunately, standard AFM imaging requires a timescale on the order of seconds to minutes to acquire an image which makes it complicated to observe dynamic processes. Moreover, it is often required to take several images before a relevant observation region is identified. In this paper we show how to significantly reduce the image acquisition time by undersampling. The reconstruction of an undersampled AFM image can be viewed as an inpainting, interpolating problem, or a special case of compressed sensing. We argue that the preferred approach depends upon the type of image. Of the methods proposed for AFM, images containing high frequencies should be reconstructed using basis pursuit from data collected in a spiral pattern. Images without too much high frequency content should be reconstructed using interpolation.

U2 - 10.1109/SITIS.2013.32

DO - 10.1109/SITIS.2013.32

M3 - Article in proceeding

SN - 978-1-4799-3211-5

SP - 130

EP - 135

BT - The 9th International Conference on Signal Image Technology and Internet Based Systems

PB - IEEE Computer Society Press

ER -

Jensen TL, Arildsen T, Østergaard J, Larsen T. Reconstruction of Undersampled Atomic Force Microscopy Images: Interpolation versus Basis Pursuit. In The 9th International Conference on Signal Image Technology and Internet Based Systems. IEEE Computer Society Press. 2013. p. 130 - 135 https://doi.org/10.1109/SITIS.2013.32