Geodesic
Unique recovery of a Lambertian curve from stereo-couple of images
Matematičeskie trudy, Tome 27 (2024) no. 3, pp. 52-73 Cet article a éte moissonné depuis la source Math-Net.Ru

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Within the framework of statements of inverse problems of photometry, the problems of uniqueness of determining the location and luminosity of a curve, radiating by Lambert's law, are explored from its stereo-couple of images. The reasons for the ambiguity in determining the location of such curves are studied. We establish criteria for the uniqueness of the solution to the problem of recovering luminous curves by stereo-couples of images for arbitrary weight functions. The results are applied to specific families of weight functions that model the degree of transparency of a medium, its absorption or scattering. 
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     author = {E. Yu. Derevtsov},
     title = {Unique recovery of a {Lambertian} curve from stereo-couple of images},
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E. Yu. Derevtsov. Unique recovery of a Lambertian curve from stereo-couple of images. Matematičeskie trudy, Tome 27 (2024) no. 3, pp. 52-73. http://geodesic.mathdoc.fr/item/MT_2024_27_3_a3/

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