Restoration of Missing Data in Limited Angle Tomography Based on Consistency Conditions

Huang Y, Taubmann O, Huang X, Hornegger J, Lauritsch G, Maier A (2017)

Publication Language: English

Publication Type: Conference contribution, Original article

Publication year: 2017

Pages Range: 90-93

Conference Proceedings Title: The 14th International Meeting on Fully Three‐Dimensional Image Reconstruction in Radiology and Nuclear Medicine

Event location: Xi'an, China

URI: https://www5.informatik.uni-erlangen.de/Forschung/Publikationen/2017/Huang17-ROM.pdf

Abstract

In limited angle tomography, only a limited angular range of data is acquired and consequently a double wedge-shaped region in the frequency domain representation of the imaged object is missing. Hence, streak artifacts occur. To restore the missing data, we perform a regression and an image fusion in sinogram domain and frequency domain, respectively. We first convert the sinogram restoration problem into a regression problem based on the Helgason-Ludwig consistency conditions. Due to the severe ill-posedness of the problem, regression only partially recovers the correct frequency components, especially lower frequency components, and will introduce erroneous ones, particularly higher frequencies. Bilateral filtering is utilized to retain the most prominent high frequency components and suppress erroneous ones. A fusion of the filtered image and the image reconstructed from the limited angle sinogram is performed afterwards in the frequency domain. The proposed method is evaluated on the Shepp-Logan phantom, for which the root-mean-square error of the reconstructed image decreases from 310 HU to 136 HU.

Authors with CRIS profile

Involved external institutions

Siemens AG, Healthcare Sector Germany (DE)

How to cite

APA:

Huang, Y., Taubmann, O., Huang, X., Hornegger, J., Lauritsch, G., & Maier, A. (2017). Restoration of Missing Data in Limited Angle Tomography Based on Consistency Conditions. In Ge Wang and Xuanqin Mou (Eds.), The 14th International Meeting on Fully Three‐Dimensional Image Reconstruction in Radiology and Nuclear Medicine (pp. 90-93). Xi'an, China.

MLA:

Huang, Yixing, et al. "Restoration of Missing Data in Limited Angle Tomography Based on Consistency Conditions." Proceedings of the The 14th International Meeting on Fully Three‐Dimensional Image Reconstruction in Radiology and Nuclear Medicine, Xi'an, China Ed. Ge Wang and Xuanqin Mou, 2017. 90-93.

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