Limited data tomographic image reconstruction via dual formulation of total variation minimization

Kwang Eun Jang; Younghun Sung; Kangeui Lee; Jongha Lee; Seungryong Cho

doi:10.1117/12.877832

16 March 2011 Limited data tomographic image reconstruction via dual formulation of total variation minimization

Kwang Eun Jang, Younghun Sung, Kangeui Lee, Jongha Lee, Seungryong Cho

Proceedings Volume 7961, Medical Imaging 2011: Physics of Medical Imaging; 796138 (2011) https://doi.org/10.1117/12.877832
Event: SPIE Medical Imaging, 2011, Lake Buena Vista (Orlando), Florida, United States

Abstract

The X-ray mammography is the primary imaging modality for breast cancer screening. For the dense breast, however, the mammogram is usually difficult to read due to tissue overlap problem caused by the superposition of normal tissues. The digital breast tomosynthesis (DBT) that measures several low dose projections over a limited angle range may be an alternative modality for breast imaging, since it allows the visualization of the cross-sectional information of breast. The DBT, however, may suffer from the aliasing artifact and the severe noise corruption. To overcome these problems, a total variation (TV) regularized statistical reconstruction algorithm is presented. Inspired by the dual formulation of TV minimization in denoising and deblurring problems, we derived a gradient-type algorithm based on statistical model of X-ray tomography. The objective function is comprised of a data fidelity term derived from the statistical model and a TV regularization term. The gradient of the objective function can be easily calculated using simple operations in terms of auxiliary variables. After a descending step, the data fidelity term is renewed in each iteration. Since the proposed algorithm can be implemented without sophisticated operations such as matrix inverse, it provides an efficient way to include the TV regularization in the statistical reconstruction method, which results in a fast and robust estimation for low dose projections over the limited angle range. Initial tests with an experimental DBT system confirmed our finding.

Citation Download Citation

Kwang Eun Jang, Younghun Sung, Kangeui Lee, Jongha Lee, and Seungryong Cho "Limited data tomographic image reconstruction via dual formulation of total variation minimization", Proc. SPIE 7961, Medical Imaging 2011: Physics of Medical Imaging, 796138 (16 March 2011); https://doi.org/10.1117/12.877832

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