Geodesic
Reconstruction of a second rank tensor field with zero trace from incomplete data
Daghestan Electronic Mathematical Reports, Tome 14 (2020), pp. 38-47

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An algorithm for the complete reconstruction of a tensor field of rank 2 in three-dimensional Euclidean space on incomplete integral data is constructed. The solenoid part of the field is constructed using linear integrals on straight lines that intersect a curve at infinity, and the displacement field is constructed using the traceless normal ray integrals.
Keywords: ray transform, second-rank tensor field, reconstruction, Saint-Venant operator, displacement field, traceless normal part. 
@article{DEMR_2020_14_a3,
     author = {Z. G. Medzhidov},
     title = {Reconstruction of a second rank tensor field with zero trace from incomplete data},
     journal = {Daghestan Electronic Mathematical Reports},
     pages = {38--47},
     publisher = {mathdoc},
     volume = {14},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DEMR_2020_14_a3/}
}
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Z. G. Medzhidov. Reconstruction of a second rank tensor field with zero trace from incomplete data. Daghestan Electronic Mathematical Reports, Tome 14 (2020), pp. 38-47. http://geodesic.mathdoc.fr/item/DEMR_2020_14_a3/