An exact Radon formula for Lambertian tomography
Résumé
This letter, based on an extension of the Radon transform on distributions, is a mathematical contribution to the field of reflective tomography in optics. Indeed, we tackle the reconstruction of a Lambertian convex reflector using tomography. In a bi-dimensional setup, we prove that the Lambert's cosine law can be inverted by some Radon formula involving distributions. The associated reconstruction contains the geometry and the physics of the problem: it is a Radon measure supported by the reflector, and its density is the inverse of the albedo.
Origine : Fichiers produits par l'(les) auteur(s)