𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Inversion of the exponential X-ray transform. I: Analysis

✍ Scribed by Irene A. Hazou; Donald C. Solmon

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
593 KB
Volume
10
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Inversion of the exponential X-ray trans
Inversion of the exponential X-ray transform. II: Numerics
✍ Irene A. Hazou; Donald C. Solmon πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 633 KB

## Abstract The exponential X‐ray transform arises in single photon emission computed tomography and is defined on functions on the plane by 𝒫~ΞΌ~__f__(Ο†,__x__) = ∫__f__ (__x__ + __t__Ο†)__e__^ΞΌt^ where ΞΌ is a constant. In [MMAS(10), 561–574, 1988], we derived analytical formulae for filters __K__ co

Range of the X-Ray Transform on Trees
Range of the X-Ray Transform on Trees
✍ E.C. Tarabusi; J.M. Cohen; M.A. Picardello πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 589 KB

The \(\mathrm{X}\)-ray transformation assigns to a function on a space the function induced on the geodesics by integration. We characterize the image of this transformation on trees (not necessarily homogeneous) in terms of algebraic and decay conditions. The case of finite support, or of finite tr