Title :
Geometrical similarities of the Orlov and Tuy sampling criteria and a numerical algorithm for assessing sampling completeness
Author :
Metzler, S.D. ; Bowsher, J.E. ; Jaszczak, R.J.
Author_Institution :
Dept. of Radiol., Duke Univ. Med. Center, Durham, NC, USA
Abstract :
Tuy and others have derived a sufficiency condition for complete sampling using a cone-beam geometry. Herein, we express Tuy´s cone-beam condition in the language and geometry of Orlov´s condition for parallel-beam collimation. One may determine from this condition what volume is completely sampled. This inversion has been implemented in software. The software determines a lower bound on the completely sampled volume for arbitrary orbits.
Keywords :
computerised tomography; Orlov´s condition; Tuy´s condition; cone-beam; parallel-beam collimation; Apertures; Biomedical engineering; Biomedical imaging; Collimators; Electron microscopy; Geometry; Image reconstruction; Orbits; Radiology; Sampling methods;
Journal_Title :
Nuclear Science, IEEE Transactions on
DOI :
10.1109/TNS.2003.817385
