Geometric Sensitivity of a Pinhole Collimator.
Geometric sensitivity for single photon emission computerized tomography (SPECT) is given by a double integral over the detection plane. It would be useful to be able to explicitly evaluate this quantity. This paper shows that the inner integral can be evaluated in the situation where there is no gamma ray penetration of the material surrounding the pinhole aperature. This is done by converting the integral to an integral in the complex plane and using Cauchy's theorem to replace it by one which can be evaluated in terms of elliptic functions.
Department of Mathematical Sciences Rutgers University Camden, New Jersey 08102, USA jacobowi@camden.rutgers.edu.
Howard
H
Jacobowitz
Department of Radiology University of Pennsylvania Philadelphia, PA 19104 metzler@mail.med.upenn.edu.
Scott D
SD
Metzler
SPECT; computerized tomography; contour integration; elliptic functions; geometric sensitivity; residue theorem