A variational method for tomographic reconstruction with few views

In this article, we focus on tomographic reconstruction. The problem is to determine the shape of the interior interface using a tomographic approach while very few X-ray radiographs are performed. We present a variational model and numerical analysis. We use a modified Nesterov algorithm to compute the solution. Numerical results are presented.

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Source https://hal.science/hal-00697218
Author Abraham, Isabelle, Abraham, Romain, Bergounioux, Maïtine
Maintainer CCSD
Last Updated November 5, 2026, 23:55 (UTC)
Created November 5, 2026, 23:55 (UTC)
Identifier hal-00697218
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Département des Sciences de la Simulation et de l'Information (DSSI) ; DAM Île-de-France (DAM/DIF) ; Direction des Applications Militaires (DAM) ; Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Direction des Applications Militaires (DAM) ; Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)
creator Abraham, Isabelle
date 2012-07-03T00:00:00
harvest_object_id ffa6f909-d8dc-4847-ba23-9e1f5e516d25
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-10-14T00:00:00
set_spec type:UNDEFINED