CT Learning Objectives Central Section Theorem -F{g (R)} = F(r, ) -Understand what this means and how to apply it backwards and forwards -Understand how this theorem applies to CT reconstruction. Two CT reconstruction methods Convolution-Back Projection ∫ d ∫ [ g (R) * c (R) ]  ( x cos  + y sin  - R) dR 0 -∞

-o o Filtered Back Projection Filtering Function: CT SNR where w = width of pixel h = slice thickness M = number of projections C = contrast = average attenuation

CT Learning Objectives Appearance of CT impulse response in cases of angular undersampling Requirements for angular sampling to meet Nyquist sampling requirement