Geodesic
Reconstruction of a triangle on a plane by three projections
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Tome 181 (2020), pp. 59-65.

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In this paper, we consider the following problem. On the plane, a triangle $\triangle ABC$ and three straight lines $l_{1}$, $l_{2}$, and $l_{3}$ in the general position are given; the locations of the straight lines are unknown. The problem consists of the reconstruction of the triangle $\triangle ABC$ by the known lengths of the sides of the triangles $\triangle A_{1}B_{1}C_{1}$, $\triangle A_{2}B_{2}C_{2}$, and $\triangle A_{3}B_{3}C_{3}$, which are the projections of the triangle $\triangle ABC$ onto the lines $l_{1}$, $l_{2}$, and $l_{3}$. Similar problems and their multidimensional generalizations are of interest in the theory of computer images.
Keywords: triangle, small-angle computed tomography. 
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M. V. Kurkina; S. P. Semenov; V. V. Slavskii. Reconstruction of a triangle on a plane by three projections. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Tome 181 (2020), pp. 59-65. http://geodesic.mathdoc.fr/item/INTO_2020_181_a7/

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