Unique Reconstruction of a Lambertian Optical Surface from Images

Within the framework of inverse problems of photometry, we study questions onreconstruction of the spatial location and luminosity of a Lambertian optical surface from itsimages obtained with the use of a small number of optical systems. We study causes of ambiguityin reconstruction of the location of such a surface. We suggest criteria for existence of a uniquesolution of the inverse problem on reconstruction of a luminous surface from three images forgeneral weight functions and apply the results to specific classes of weight functions that modelthe degree of transparency of the medium (including its absorption or scattering).