A complete theory of camera multihole collimators is presented. The ge
ometrical system response is determined in closed form in frequency sp
ace. This closed form accounts for the known efficiency and resolution
formulae for parallel beam, fan beam, cone beam and astigmatic collim
ators as well as for the most frequent hole array patterns and hole sh
apes. The point spread function in the space domain for a certain coll
imator and source position can be calculated via a discrete fast Fouri
er transform. Beside the complete theoretical definition of the respon
se of multihole collimators, this theory allows the definition of accu
rate models of the geometrical response for SPECT reconstruction and i
t is suitable for designing new collimators.