
Proceedings Paper
Limited view angle tomographic image reconstruction via total variation minimizationFormat | Member Price | Non-Member Price |
---|---|---|
$17.00 | $21.00 |
Paper Abstract
In tomosynthesis, cone-beam projection data are acquired from a
few of view angles, which are not sufficient for an exact
reconstruction of an image object using state-of-the-art image
reconstruction algorithms. In the case of parallel-beam
projections, the well-known projection-slice theorem may be
utilized to transform the parallel-beam projections into the
Fourier space of an image object. Due to the limited range of view
angles, the available projection data can only populate a portion
of Fourier space. Moreover, the angular sampling rate of the
populated portion of the Fourier space may not satisfy the Nyquist
criterion. Thus, reconstructed images using direct Fourier
inversion contain severe streaking and distortion artifacts. In
this paper, we present a novel image reconstruction method via
minimizing the total variation (TV) of the reconstructed image for
limited view angle X-ray computed tomography. Specifically, the
missing data points in Fourier space, due to either the limited
range or undersampling of view angles, are iteratively filled
using the following two constraint conditions: (1) the total
variation of the reconstructed image is minimized and (2)
reconstructed image maintains fidelity to the sampled data in the
Fourier space. Using analytical phantoms, numerical simulations
were conducted to validate the new image reconstruction method.
Images are compared with two other image reconstruction methods in
terms of image artifact level and noise properties. Numerical
results demonstrated that the new image reconstruction algorithm
is superior to direct Fourier inversion reconstruction algorithm
and the projection onto convex sets (POCS) image reconstruction
algorithm.
Paper Details
Date Published: 14 March 2007
PDF: 12 pages
Proc. SPIE 6510, Medical Imaging 2007: Physics of Medical Imaging, 651020 (14 March 2007); doi: 10.1117/12.713750
Published in SPIE Proceedings Vol. 6510:
Medical Imaging 2007: Physics of Medical Imaging
Jiang Hsieh; Michael J. Flynn, Editor(s)
PDF: 12 pages
Proc. SPIE 6510, Medical Imaging 2007: Physics of Medical Imaging, 651020 (14 March 2007); doi: 10.1117/12.713750
Show Author Affiliations
Julia Velikina, Univ. of Wisconsin, Madison (United States)
Shuai Leng, Univ. of Wisconsin, Madison (United States)
Shuai Leng, Univ. of Wisconsin, Madison (United States)
Guang-Hong Chen, Univ. of Wisconsin, Madison (United States)
Published in SPIE Proceedings Vol. 6510:
Medical Imaging 2007: Physics of Medical Imaging
Jiang Hsieh; Michael J. Flynn, Editor(s)
© SPIE. Terms of Use
