Principles of Tomography

  • Pradipta Kumar Panigrahi
  • Krishnamurthy Muralidhar
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)


Most physical systems involving heat and mass transfer have 3D variation of temperature and species concentration within the apparatus. When schlieren or shadowgraph imaging is employed, one obtains a depth-averaged view of the 3D variation. The image data is often called a path integral or a projection of the thermal (or concentration) field. Tomography is a procedure for recovering the 3D information of the field variable from a collection of projections. The projection data is recorded at various angles by turning the experimental apparatus or the light beam, specifically the source-detector axis. This chapter presents tomography in the form of algorithms, of which CBP, ART, and MART are a few. Tomographic algorithms are known to be sensitive to noise in projection data. Issues such as sensitivity and the impact of having limited data are discussed. The algorithms are validated using simulated data as well as from physical experiments of crystal growth and jet interactions. Finally, the use of POD as a tool for dealing with unsteady data is presented.


CBP ART MART Entropy Sensitivity Extrapolation scheme 


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Copyright information

© The Author(s) 2012

Authors and Affiliations

  • Pradipta Kumar Panigrahi
    • 1
  • Krishnamurthy Muralidhar
    • 2
  1. 1.Department of Mechanical EngineeringIndian Institute of Technology KanpurKanpurIndia
  2. 2.Department of Mechanical EngineeringIndian Institute of Technology KanpurKanpurIndia

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