Necessary and Sufficient Consistency Conditions for Fanbeam Projections Along a Line

Abstract : In medical imaging, a fanbeam projection refers to a collection of line integrals of some two-dimensional function, for lines converging on a point known as the source point for X-ray applications. In this work, necessary and sufficient consistency conditions (also known as range conditions) are given for fanbeam projections when the source trajectory follows an infinite straight line. The conditions are specified for both angular and linear parameterizations of the projection rays. In both cases, integrals of the fanbeam projections multiplied by a certain function will be a polynomial in the trajectory variable, so these consistency conditions can be considered true analogs of the well-known Helgason-Ludwig range conditions for parallel projections.
Document type :
Journal articles
Complete list of metadatas

https://hal-ujm.archives-ouvertes.fr/ujm-00834041
Contributor : Rolf Clackdoyle <>
Submitted on : Friday, June 14, 2013 - 7:56:36 AM
Last modification on : Friday, February 8, 2019 - 12:26:05 AM

Identifiers

  • HAL Id : ujm-00834041, version 1

Collections

Citation

Rolf Clackdoyle. Necessary and Sufficient Consistency Conditions for Fanbeam Projections Along a Line. IEEE Transactions on Nuclear Science, Institute of Electrical and Electronics Engineers, 2013, 60 (3), pp.1560-1569. ⟨ujm-00834041⟩

Share

Metrics

Record views

159