Almost-everywhere extrapolation from cone-beam data

Details Almost-everywhere extrapolation from cone-beam data Almost-everywhere extrapolation from cone-beam data

1998-07-10

2000-07-04

Bruce, David Vernon

X-ray or gamma ray systems or devices

Specific application

Computerized tomography

378901, A61B 603

Patent

active

060849363

ABSTRACT:
A source applies imaging energy that passes through an object being imaged and is then detected by a detector. A scanning trajectory causes the detector to provide a Cauchy data set of measured cone beam data to a processor. The processor extrapolates by use of John's equation such that missing cone beam data is determined. The measured cone beam data and the determined cone beam data together provide a complete data set for exact image reconstruction.

REFERENCES:
patent: 5598453 (1997-01-01), Baba et al.
Fritz John, "The Ultrahyperbolic Differential Equation with 4 Independent Variables", Duke Math. Journal, pp. 300-322, (1938).
Leifur Asgeirsson, "Ueber eine Mittelwertseigenschaft von Loesungen Homogener Linearer Partieller Differentialgleichungen Zweiter: Ordnung mit Konstanten Koeffizienten", Mathematische Annalen, 13, pp. 321-346 (1938).
Glynn Owens, "An Explicit Formula for the Solution of the Ultrahyperbolic Equation in Four Variables", Duke Math Journal, 9, pp. 272-282, (1942).

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