Biomedical Imaging GroupSTI
English only   BIG > Publications > Iterative FBP

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

Iterative FBP for Improved Reconstruction of x-Ray Differential Phase-Contrast Tomograms

M. Nilchian, C. Vonesch, P. Modregger, M. Stampanoni, M. Unser

Proceedings of the Tenth IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'13), San Francisco CA, USA, April 7-11, 2013, pp. 1248-1251.

X-ray differential phase-contrast tomography is a recently-developed modality for the imaging of low-contrast biological samples. Its mathematical model is based on the first derivative of the Radon transform and the images, in practice, are reconstructed using a variant of filtered back-projection (FBP). In this paper, we develop an alternative reconstruction algorithm with the aim of reducing the number of required views, while maintaining image quality. To that end, we discretize the forward model based on polynomial B-spline functions. Then, we formulate the reconstruction as a regularized weighted-norm optimization problem with a penalty on the total variation (TV) of the solution. This leads to the derivation of a novel iterative algorithm that involves an alternation of gradient updates (FBP step) and shrinkage-thresholding (within the framework of the fast iterative shrinkage-thresholding algorithm). Experiments with real data suggest that the proposed method significantly improves upon FBP; it can handle a drastic reduction in the number of projections without noticeable degradation of the quality with respect to the standard procedure.

AUTHOR="Nilchian, M. and Vonesch, C. and Modregger, P. and Stampanoni,
        M. and Unser, M.",
TITLE="Iterative {FBP} for Improved Reconstruction of {x}-Ray
        Differential Phase-Contrast Tomograms",
BOOKTITLE="Proceedings of the Tenth IEEE International Symposium on
        Biomedical Imaging: {F}rom Nano to Macro ({ISBI'13})",
address="San Francisco CA, USA",
month="April 7-11,",

© 2013 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.