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 proceedingConference contribution

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 languageEnglish (US)
Title of host publication2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings
Pages217-220
Number of pages4
DOIs
Publication statusPublished - 2007
Externally publishedYes
Event2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07 - Arlington, VA, United States
Duration: Apr 12 2007Apr 15 2007

Other

Other2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07
CountryUnited States
CityArlington, VA
Period4/12/074/15/07

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Keywords

  • Directional smoothing
  • Limited angle tomography
  • Missing wedge
  • Non linear regularization

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Medicine(all)

Cite this

Aganj, I., Bartesaghi, A., Borgnia, M., Liao, H. Y., 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 (pp. 217-220). [4193261] https://doi.org/10.1109/ISBI.2007.356827