Contrast enhanced tomographic reconstruction of vascular blood flow based on the Navier-Stokes equation. Issue 9 (1st September 2020)

• Record Type: Journal Article
• Authors: Sixou, B.; Sigovan, M.; Boussel, L.
• Is Part Of: Inverse problems in science and engineering. Volume 28:Issue 9(2020)
• Page Start: 1287
• Page End: 1306
• Publication Date: 2020-09-01
• Subjects: Inverse problems -- adjoint methods -- Navier-Stokes equation; 65J22 -- 65J20 -- 65K10; Engineering mathematics -- Periodicals; Inverse problems (Differential equations) -- Periodicals; 620.001515357
• DOI: 10.1080/17415977.2020.1724108
• Languages: English
• ISSNs: 1741-5977

Abstract

ABSTRACT: In this work, we study the reconstruction of blood velocity with contrast enhanced computed tomography with tomographic projections perpendicular to the main flow field direction. The inverse problem is regularized with a convection-diffusion partial differential equation and with the Navier-Stokes equation. The velocity field is reconstructed together with the density field with a first-order adjoint method. The method is validated on a simple phantom. The addition of a physical constraint with a partial differential equation for the velocity field improves the reconstruction results.