Random matrix-based dimensionality reduction for bioluminescence tomography reconstruction

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Random matrix-based dimensionality reduction for bioluminescence tomography reconstruction. / Styles, I.B.; Basevi, H.R.A.; Guggenheim, J.A.; Dehghani, H.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 8799 2013.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Styles, I.B. ; Basevi, H.R.A. ; Guggenheim, J.A. ; Dehghani, H. / Random matrix-based dimensionality reduction for bioluminescence tomography reconstruction. Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 8799 2013.

Bibtex

@inbook{4ec465df98564dd787f0e7e0ba85a160,
title = "Random matrix-based dimensionality reduction for bioluminescence tomography reconstruction",
abstract = "We show how a random matrix can be used to reduce the dimensionality of the bioluminescence tomography reconstruction problem. A randomised low-rank approximation for the sensitivity matrix is computed, and we show how this can be used to reconstruct the bioluminescence source distribution on a randomised basis for the mesh nodes. The distribution on the original mesh can be found easily via a simple matrix multiplication. The majority of the computation required can be performed in advance of the reconstruction, and the reconstruction time itself is of the order milliseconds. This could allow for high frame rate real-time reconstructions to be performed.",
author = "I.B. Styles and H.R.A. Basevi and J.A. Guggenheim and H. Dehghani",
year = "2013",
month = jun,
day = "25",
doi = "10.1117/12.2033299",
language = "English",
isbn = "9780819496485",
volume = "8799",
booktitle = "Progress in Biomedical Optics and Imaging - Proceedings of SPIE",

}

RIS

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T1 - Random matrix-based dimensionality reduction for bioluminescence tomography reconstruction

AU - Styles, I.B.

AU - Basevi, H.R.A.

AU - Guggenheim, J.A.

AU - Dehghani, H.

PY - 2013/6/25

Y1 - 2013/6/25

N2 - We show how a random matrix can be used to reduce the dimensionality of the bioluminescence tomography reconstruction problem. A randomised low-rank approximation for the sensitivity matrix is computed, and we show how this can be used to reconstruct the bioluminescence source distribution on a randomised basis for the mesh nodes. The distribution on the original mesh can be found easily via a simple matrix multiplication. The majority of the computation required can be performed in advance of the reconstruction, and the reconstruction time itself is of the order milliseconds. This could allow for high frame rate real-time reconstructions to be performed.

AB - We show how a random matrix can be used to reduce the dimensionality of the bioluminescence tomography reconstruction problem. A randomised low-rank approximation for the sensitivity matrix is computed, and we show how this can be used to reconstruct the bioluminescence source distribution on a randomised basis for the mesh nodes. The distribution on the original mesh can be found easily via a simple matrix multiplication. The majority of the computation required can be performed in advance of the reconstruction, and the reconstruction time itself is of the order milliseconds. This could allow for high frame rate real-time reconstructions to be performed.

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-84881150123&partnerID=8YFLogxK

U2 - 10.1117/12.2033299

DO - 10.1117/12.2033299

M3 - Chapter

AN - SCOPUS:84881150123

SN - 9780819496485

VL - 8799

BT - Progress in Biomedical Optics and Imaging - Proceedings of SPIE

ER -