We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
NUMERICAL REALIZATION OF A NEW GENERATION TOMOGRAPHY ALGORITHM BASED ON THE CAUCHY-TYPE INTEGRAL FORMULA.
- Authors
HIROSHI FUJIWARA; TAMASAN, ALEXANDRU
- Abstract
This work concerns the numerical realization of a Cauchy-type integral formula for sequence valued analytic functions in the sense of Bukhgeim, and its applications to the source reconstruction problem in inverse radiative transport through a non-absorbing and non-scattering medium. The inverse source problem is mathematically equivalent to the classical X-ray Computed Tomography (CT), where a function is to be determined from its line integrals. The proposed algorithms have the added advantage to extend to the source determination problems in media with absorbing and scattering properties. Such extensions cannot be achieved in the existing X-ray CT algorithms. The numerical experiments demonstrate the feasibility of our new tomographic algorithms.
- Subjects
ALGORITHMS; CAUCHY integrals; ANALYTIC functions; COMPUTED tomography; LINE integrals
- Publication
Advances in Mathematical Sciences & Applications, 2019, Vol 28, Issue 2, p413
- ISSN
1343-4373
- Publication type
Article