Cone beam local tomography

A Katsevich - SIAM Journal on Applied Mathematics, 1999 - SIAM
In this paper we study three-dimensional cone beam local tomography. We analyze the local
tomography function f_Λ^c, which was proposed earlier in AK Louis and P. Maass, IEEE …

Improved cone beam local tomography

A Katsevich - Inverse Problems, 2006 - iopscience.iop.org
In this paper, we study cone beam local tomography (LT). A new LT function g is proposed. It
is shown that g contains non-local artefacts, but their strength is an order of magnitude …

Introduction to local tomography

A Faridani, KA Buglione, P Huabsomboon… - Contemporary …, 2001 - books.google.com
Computed x-ray tomography entails the reconstruction of a density function f from line
integrals of f. Ordinary tomography is global since reconstruction at a point a requires …

Local tomography II

A Faridani, DV Finch, EL Ritman, KT Smith - SIAM Journal on Applied …, 1997 - SIAM
Standard, or global, tomography involves the reconstruction of a function f from line
integrals. Local tomography, in this paper, involves the reconstruction of a related function …

Local cone-beam tomography image reconstruction on chords

MA Anastasio, Y Zou, EY Sidky, X Pan - JOSA A, 2007 - opg.optica.org
We develop reconstruction algorithms for local cone-beam tomography for use with
generalized scanning trajectories. The algorithms are grounded theoretically in a recently …

Local tomography

A Faridani, EL Ritman, KT Smith - SIAM Journal on Applied Mathematics, 1992 - SIAM
Tomography produces the reconstruction of a function f from a large number of line integrals
of f. Conventional tomography is a global procedure in that the standard convolution …

Pseudolocal tomography

AI Katsevich, AG Ramm - SIAM Journal on Applied Mathematics, 1996 - SIAM
Proposed is a pseudolocal tomography concept. A function f_d is defined which, on one
hand, has locality properties and, on the other hand, preserves locations and sizes of …

Some results in single-scattering tomography

B Sherson - 2015 - ir.library.oregonstate.edu
Single-scattering tomography describes a model of photon transfer through a object in which
photons are assumed to scatter at most once. The Broken Ray transform arises from this …

[PDF][PDF] Microlocal Analysis in Tomography.

VP Krishnan, ET Quinto - Handbook of mathematical methods in …, 2015 - math.tifrbng.res.in
In this chapter, we introduce a range of tomography problems, including X-ray imaging,
limited data problems, electron microscopy and radar imaging. We are interested in the …

Local reconstruction applied to x-ray microtomography

EL Ritman, JH Dunsmuir, A Faridani, DV Finch… - Inverse problems in …, 1997 - Springer
A characteristic of local reconstruction is that the x-ray detector array need only be slightly
larger than the projected volume of interest within the object scanned. This feature of local …