On Unique Reconstruction of a Lambertian Curve from a StereoPair of Images

Within the framework of inverse problems of photometry, we study questions on reconstruction of the spatial location and luminosity of a Lambertian curve from a stereo pair of its images. We study sources of ambiguity in reconstruction of the location of such a curve and suggest criteria for existence of a unique solution of the problem for general weight functions. We apply the results to specific classes of weight functions that model the degree of transparency of the medium (including its absorption or scattering).