Regularization for inverting the radon transform with wedge consideration

I. Aganj; A. Bartesaghi; M. Borgnia; H. Y. Liao; G. Sapiro; S. Subramaniam

doi:10.1109/ISBI.2007.356827

Regularization for inverting the radon transform with wedge consideration

I. Aganj, A. Bartesaghi, M. Borgnia, H. Y. Liao, G. Sapiro, S. Subramaniam

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

8 Scopus citations

Abstract

In limited angle tomography, with applications such as electron microscopy, medical imaging, and industrial testing, the object of interest is scanned over a limited angular range, which is less than the full 180° mathematically required for density reconstruction. The use of standard full-range reconstruction algorithms produces results widi notorious "butterfly" or "wedge" artifacts. In this work we propose a reconstruction technique with a regularization term that takes into account the orientation of the missing angular range, also denoted as missing wedge. We show that a regularization diat penalizes non-uniformly in the orientation space produces reconstructions with less artifacts, thereby improving the recovery of the "invisible" edges due to the missing wedge. We present the underlying framework and results for a challenging phantom and real cryo-electron microscopy data.

Original language	English (US)
Title of host publication	2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings
Pages	217-220
Number of pages	4
DOIs	https://doi.org/10.1109/ISBI.2007.356827
State	Published - 2007
Externally published	Yes
Event	2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07 - Arlington, VA, United States Duration: Apr 12 2007 → Apr 15 2007

Other

Other	2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07
Country/Territory	United States
City	Arlington, VA
Period	4/12/07 → 4/15/07

Keywords

Directional smoothing
Limited angle tomography
Missing wedge
Non linear regularization

ASJC Scopus subject areas

Electrical and Electronic Engineering
General Medicine

Access to Document

10.1109/ISBI.2007.356827

Cite this

Aganj, I, Bartesaghi, A, Borgnia, M, Liao, HY, Sapiro, G & Subramaniam, S 2007, Regularization for inverting the radon transform with wedge consideration. in 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings., 4193261, pp. 217-220, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07, Arlington, VA, United States, 4/12/07. https://doi.org/10.1109/ISBI.2007.356827

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abstract = "In limited angle tomography, with applications such as electron microscopy, medical imaging, and industrial testing, the object of interest is scanned over a limited angular range, which is less than the full 180° mathematically required for density reconstruction. The use of standard full-range reconstruction algorithms produces results widi notorious {"}butterfly{"} or {"}wedge{"} artifacts. In this work we propose a reconstruction technique with a regularization term that takes into account the orientation of the missing angular range, also denoted as missing wedge. We show that a regularization diat penalizes non-uniformly in the orientation space produces reconstructions with less artifacts, thereby improving the recovery of the {"}invisible{"} edges due to the missing wedge. We present the underlying framework and results for a challenging phantom and real cryo-electron microscopy data.",

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AU - Aganj, I.

AU - Bartesaghi, A.

AU - Borgnia, M.

AU - Liao, H. Y.

AU - Sapiro, G.

AU - Subramaniam, S.

PY - 2007

Y1 - 2007

N2 - In limited angle tomography, with applications such as electron microscopy, medical imaging, and industrial testing, the object of interest is scanned over a limited angular range, which is less than the full 180° mathematically required for density reconstruction. The use of standard full-range reconstruction algorithms produces results widi notorious "butterfly" or "wedge" artifacts. In this work we propose a reconstruction technique with a regularization term that takes into account the orientation of the missing angular range, also denoted as missing wedge. We show that a regularization diat penalizes non-uniformly in the orientation space produces reconstructions with less artifacts, thereby improving the recovery of the "invisible" edges due to the missing wedge. We present the underlying framework and results for a challenging phantom and real cryo-electron microscopy data.

AB - In limited angle tomography, with applications such as electron microscopy, medical imaging, and industrial testing, the object of interest is scanned over a limited angular range, which is less than the full 180° mathematically required for density reconstruction. The use of standard full-range reconstruction algorithms produces results widi notorious "butterfly" or "wedge" artifacts. In this work we propose a reconstruction technique with a regularization term that takes into account the orientation of the missing angular range, also denoted as missing wedge. We show that a regularization diat penalizes non-uniformly in the orientation space produces reconstructions with less artifacts, thereby improving the recovery of the "invisible" edges due to the missing wedge. We present the underlying framework and results for a challenging phantom and real cryo-electron microscopy data.

KW - Directional smoothing

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BT - 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings

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ER -

Regularization for inverting the radon transform with wedge consideration

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Keywords

ASJC Scopus subject areas

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