Asymptotic approximations by Harold Jeffreys

By Harold Jeffreys

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Clack, A cone-beam reconstruction algorithm using shift-invariant filtering and cone-beam backprojection. IEEE TMI 13 (1994), 186-195. C. W. Kress, Practical cone beam algorithm. J. Opt. Soc. Am. A 6 (1984), 612-619. [Fin87] D. Finch, Approximate reconstruction formulae for the cone beam transform, I. Preprint (1987). E. A. Griinbaum, Tomographic reconstruction with arbitrary directions. IEEE TNS 26 (1981) 77-120. [Gr87] P. Grangeat, Analyse d'un Systeme dTmagerie 3D par Reconstruction a partir de Radiographics X en Geometrie Conique, Dissertation, Ecole Nationale Superieure des Telecommunications (1987) [Gr91] P.

These points in T*F are ( (cp + 7T, —s), since d(p stays the same under translation (p — i » ^ + 7r and ds changes to —ds under the reflection p ^ —p. 19) is valid in both directions. References M. D. Altschuler, Reconstruction of the global-scale three-dimensional solar corona, Topics in Applied Physics, vol. 32, pp. 105-145, Springer-Verlag, New York/Berlin, 1979. T. M. Lewitt, Image reconstruction from projections: I: General theoretical considerations, II: Projection completion methods (theory), III: Projection completion methods (computational examples), Optik 50 (1978), I: 19-33, II: 189-204, III: 269-278.

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