Measurement of 3D displacement fields from few tomographic projections

Thibault Taillandier-Thomas; Clément Jailin; Stéphane Roux; François Hild

doi:10.1117/12.2227904

29 April 2016 Measurement of 3D displacement fields from few tomographic projections

Thibault Taillandier-Thomas, Clément Jailin, Stéphane Roux, François Hild

Proceedings Volume 9896, Optics, Photonics and Digital Technologies for Imaging Applications IV; 98960L (2016) https://doi.org/10.1117/12.2227904
Event: SPIE Photonics Europe, 2016, Brussels, Belgium

Abstract

The present paper aims at providing 3D volume images of a deformed specimen based on i) a full 3D image describing the reference state as obtained e.g., from conventional computed tomography and ii) the 3D displacement field accounting for its motion. The displacement field, which is described by much fewer degrees of freedom than the specimen volume itself, is here proposed to be determined from very few projections. The reduction in number of needed projections may be larger than two orders of magnitude. In the proposed approach, the displacement field is described over an unstructured mesh composed of tetrahedra with linear shape functions. The mesh is based on the reconstructed reference volume so that it provides a faithful and accurate description of the specimen, including its boundary. Nodal displacements are determined from the minimization of the quadratic difference between the computed projections of the deformed configuration and the acquired projections (radiographs) for the selected orientations. Well-posedness of the problem requires the number of kinematic unknowns to be small. However, in cases where the geometry is complex, the displacement field may call for many parameters. To deal with such conflicting demands it is proposed to use a regularization based on the mechanical modeling of the displacement field using a linear elastic description.

Citation Download Citation

Thibault Taillandier-Thomas, Clément Jailin, Stéphane Roux, and François Hild "Measurement of 3D displacement fields from few tomographic projections", Proc. SPIE 9896, Optics, Photonics and Digital Technologies for Imaging Applications IV, 98960L (29 April 2016); https://doi.org/10.1117/12.2227904

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available