Efficient Sampling of the Exponential Radon Transform

Laurent Desbat1and Raphaël Thierry2

1TIMC-IMAG, UMR CNRS 5525

Faculté de medecine, 38706 La Tronche Cedex Phone : (+33) 04-76-54-96-00, Fax : (+33) 04-76-54-95-55,

e-mail : Laurent.Desbat@imag.fr

2Commissariat à L' Energie Atomique de Cadarache, DCC/DESD/SCCD/LEC 13108 -St-Paul Lez Durance, France,

Phone : (+33) 04-42-25-61-97, (+33) 04-42-25-49-19, Fax : (+33) 04-42-25-73-77,

e-mail : thierry@desdcad.cea.fr

Abstract - In this short paper, we show that interlaced sampling can be used for the exponential radon Transform. Twice less data are needed for the same resolution in the reconstruction in tomography. This results can be generalized numerically to the exponential Radon transform, thus the attenuated Radon transform with a constant attenuation. This corresponds to emission tomography with a constant attenuation map.

Keywords: Shannon, nuclear imaging, SPECT.