Stefan Röttger

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Q How to reconstruct the density function from the measured integral values?

Prerequisite: Every point of the volume needs to be covered by a fan of images with at least 180 degrees capture angle.

wikipedia.org
T=Quelle X=Strahlen D=Detektor R=Rotation

From the fan of images, the following techniques reconstruct the volume from the projection images

• Fast Fourier Transform
  • First employed method
  • No practical relevance
• Backpropagation
  • Fast
  • Can be implemented with graphics hardware
  • Suffers from perspective widening of rays
  • “Ray hardening” leads to image smear
• Iterative Reconstruction Methods
  • Based on difference analysis between original radiograph and simulated projections

See also “Technologien bildgebender Systeme: Computertomographie” of Prof. Dr. Jürgen Wohlrab.

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