TITLE:
Sinogram Interpolation Method for Sparse-Angle Tomography
AUTHORS:
Martti Kalke, Samuli Siltanen
KEYWORDS:
Interpolation; Sparse Imaging; Tomography; Sinogram
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.3,
February
12,
2014
ABSTRACT:
In sparse-angle X-ray
tomography reconstruction, where only a small number of projection images are
taken around the object, appropriate sinogram interpolation has a significant
impact on image quality. A
novel sinogram interpolation method is introduced for extreme sparse
tomographic reconstruction where only nine measured projection images are available.
The sinogram is interpolated by solving characteristics of the so-called warps, which can be considered as approximation sine waves in a limited
region. The numerical evidence suggests that this approach gives superior
results over standard interpolation methods when the tomographic data are extremely sparse and noisy.