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- W1566842686 abstract "In this paper we consider the problem of recovering the stress tensor field of a three dimensional object frommeasurements of the polarization state of transmitted light. In contrast to the ray transform approach suggestedby Sharafutdinov, which uses the inversion of planar Radon transforms to recover a single component of thedeviatoric stress normal to a plane, we study the simultaneous reconstruction of all components of the deviatoricstress in each voxel using a matrix approximation to the truncated transverse ray transform. This approach allows us to employ partial differential operators related to linear elasticity in a regularizing penalty term resulting in a well posed problem. We note that the hydrostatic stress is determined by the deviatoric stress (up to an additive constant) from the equilibrium equation, and that our numerical results confirm that the full stress tensor can be recovered using elastic regularization." @default.
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- W1566842686 date "2006-01-11" @default.
- W1566842686 modified "2023-09-24" @default.
- W1566842686 title "Tomographic reconstruction of stress from photoelastic measurements using elastic regularization." @default.
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