Geodesic
Determination of a diffuse reflecting surface under pulsed irradiation
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 2, pp. 206-215.

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An inverse problem of determining a diffusely reflecting surface under given functionals of the radiation flux density for a nonstationary radiation transfer equation is considered. Assuming the point pulsed source and the single scattering approximation, authors obtained the nonlinear differential equation. The solution has been obtained in a few quadratures to determine the profile of the Lambert surface. The computational experiments were carried out on test examples. 
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V. A. Kan; I. V. Prokhorov. Determination of a diffuse reflecting surface under pulsed irradiation. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 2, pp. 206-215. http://geodesic.mathdoc.fr/item/DVMG_2018_18_2_a7/

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