Limited-angle tomography applied to biological objects


  • Wojciech Krauze Warsaw University of Technology
  • Małgorzata Kujawińska Warsaw University of Technology



Optical limited-angle tomography is strongly required in biological applications, as often there is an access to projections gathered from a small angle range. Choosing a reconstruction algorithm among many available is always a tradeoff between speed of calculation and quality of reconstruction. In this paper we present the studies how the a priori information about object’s geometry influences efficiency of the Data Replenishment Algorithm. The analysis is based on tomographic reconstruction of real biological cell of human malignant lymphoma.

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  1. S. Kou, C. Sheppard, "Image formation in holographic tomography", Opt. Lett. 33, 2362 (2008). CrossRef
  2. J. Hsieh, Computed Tomography Principles, Design, Artifacts, and Recent Advances (Wiley 2009).
  3. S. Isikman et al., "Lens-free optical tomographic microscope with a large imaging volume on a chip", P. Natl. Acad. Sci. USA 108, 7296 (2011). CrossRef
  4. S. Vertu, E. Maeda, J. Flügge, J. Delaunay, O. Haeberlé, "Comparison of resolution in tomographic diffractive microscopy using combinations of sample rotation and illumination rotation", Proc. SPIE 7904 (2011). CrossRef
  5. A. Likhachov, "Projection data replenishment algorithm for limited angle tomography", Optoelectron. Instrum. Data Process. 45, 55 (2009). DirectLink
  6. R. Gordon, "A tutorial on art (algebraic reconstruction techniques)", IEEE T. Nucl. Sci. 21, 78 (1974). CrossRef
  7. A. Andersen, A. Kak, "Simultaneous Algebraic Reconstruction Technique (SART): A Superior Implementation of the Art Algorithm", Ultrasonic Imaging 6, 81 (1984). CrossRef
  8. D. Verhoeven, "Limited-data computed tomography algorithms for the physical sciences", Appl. Optics 32, 3736 (1993). CrossRef
  9. J. Fessler, B. Sutton, "Nonuniform fast Fourier transforms using min-max interpolation", IEEE T. Signal Proces. 51, 560 (2003). CrossRef
  10. Z. Wang, A. Bovik, "A universal image quality index", IEEE Signal Proc. Let. 9, 81 (2002). CrossRef
  11. M. Kujawińska et al., "Problems and Solutions in Tomographic Analysis of Phase Biological Objects", Fringe 2013, 671 (2013) CrossRef




How to Cite

W. Krauze and M. Kujawińska, “Limited-angle tomography applied to biological objects”, Photonics Lett. Pol., vol. 5, no. 4, pp. pp. 149–151, Dec. 2013.