Theoretical prediction of the geometric transfer function for focused collimators

C. E. Metz, M. W. Tsui, R. N. Beck

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The transfer function describing spatial resolution characteristics of a focused collimator used in conventional scanning can be described by the weighted sum of 3 terms representing contributions of geometrically collimated, penetrating, and scattered radiation. The present work showed that the geometric component of the transfer function of a single hole or multihole focused collimator with round holes packed in an hexagonal array can be expressed in the form of a rather simple equation involving trigonometric functions, first order Bessel functions, and the physical dimensions of the collimator. This expression is applicable for any collimator to source distance and takes into account the directional dependence of geometric resolution due to hole packing geometry. Fourier transformation of line spread functions measured using a thin walled line source of 125I in air, in which case scatter and septal penetration can be neglected, showed that the predicted transfer functions are accurate to within a few % over a broad range of spatial frequencies and collimator to source distances. The theoretical approach appears to provide a powerful tool for the designing of focused collimators.

Original languageEnglish (US)
Pages (from-to)1078-1083
Number of pages6
JournalJournal of Nuclear Medicine
Issue number12
StatePublished - Dec 1 1974
Externally publishedYes

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging


Dive into the research topics of 'Theoretical prediction of the geometric transfer function for focused collimators'. Together they form a unique fingerprint.

Cite this