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V. Kolehmainen, M. Lassas and S. Siltanen, “Limited Data X-Ray Tomography Using Nonlinear Evolution Equations,” SIAM Journal of Scientific Computing, Vol. 30, No. 3, 2008, pp. 1413-1429. http://dx.doi.org/10.1137/050622791

has been cited by the following article:

• 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.