Geodesic
A new tomography method in the presence of an opaque object
Numerical methods and programming, Tome 18 (2017) no. 2, pp. 129-137.

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A new tomography method for a two-dimensional object containing an opaque inclusion is developed. For the estimation of unknown data in the opaque object's shadow, the system of linear algebraic equations derived from the representation of projections of moments by homogeneous polynomials is solved. The numerical results show that the method has a number of advantages over alternative approaches.
Keywords: two-dimensional tomography
Mots-clés : opaque inclusion, Cavalieri condition. 
@article{VMP_2017_18_2_a2,
     author = {A. V. Likhachev},
     title = {A new tomography method in the presence of an opaque object},
     journal = {Numerical methods and programming},
     pages = {129--137},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2017_18_2_a2/}
}
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A. V. Likhachev. A new tomography method in the presence of an opaque object. Numerical methods and programming, Tome 18 (2017) no. 2, pp. 129-137. http://geodesic.mathdoc.fr/item/VMP_2017_18_2_a2/