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Consistency conditions upon 3D CT data and the wave equation. Phys Med Biol 2002 Aug 07;47(15):2637-50 PMID: 12200929

Pubmed ID



Source trajectories and reconstruction algorithms for clinical volumetric computerized tomography (VCT) will require optimization for efficiency and image quality. VCT data is highly overdetermined, satisfying an ultrahyperbolic partial differential equation. Characteristic boundary value problems for the hyperbolic wave equation and ultrahyperbolic equation are compared, focusing in this paper on a mathematically instructive open-gantry VCT geometry. This example provides physical insight into consistency conditions upon VCT data, clearly showing which information about the object can and cannot be recovered from a set of measured projections. Furthermore, this example demonstrates that efficient numerical solvers for the ultrahyperbolic equation can provide tremendous flexibility in the choice of reconstruction algorithm.

Author List

Patch SK


Sarah K. Patch PhD Associate Professor in the Physics department at University of Wisconsin - Milwaukee


2-s2.0-0037036599   32 Citations

MESH terms used to index this publication - Major topics in bold

Computer Simulation
Fourier Analysis
Imaging, Three-Dimensional
Models, Biological
Models, Theoretical
Phantoms, Imaging
Radiographic Image Enhancement
Reproducibility of Results
Scattering, Radiation
Sensitivity and Specificity
Tomography, X-Ray Computed
jenkins-FCD Prod-353 9ccd8489072cb19f5b9f808bb23ed672c582f41e