Fast and Practical Discrete Tomography
Shekhar S. Chandra (Monash University)
CSIRO ICTDATE: 2010-08-25
TIME: 14:00:00 - 15:00:00
LOCATION: Seminar Room S206, CSIRO Mathematics, Informatics and Statistics, Building 108, ANU
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ABSTRACT:
Tomography, or Tomographic Reconstruction, allows one to recover the internal structure of an object from its projected views. It has many applications in Medicine, Astronomy, Biology, Physics and many other fields. However, the current widely accepted mathematical theory behind Tomography is one that was constructed in the early twentieth century without the digital computer in mind. As a result, the recovered object is always plagued with reconstruction artefacts, i.e. caused by the reconstruction algorithms and not the measurements. The theory of Discrete Tomography was developed in the late twentieth century to remedy this problem. In contrast to the conventional methods, digital objects are recovered exactly and can be computed very efficiently using discrete methods. However, Discrete Tomography has only been applied to practical problems as recently as 2001 and onwards. The talk will introduce this relatively new field and also cover new methods developed by the speaker during his time as a Ph.D student. These methods include the Number Theoretic Radon Transform and the Fast Mojette Transform.
BIO:
Shekhar Chandra is currently a researcher at Monash University working on the Reconstruction of Phytoplankton Micro CT data. He has recently been awarded his Ph.D and his research interests include Discrete Tomography and Image/Signal Processing.
