Pré-Publication, Document De Travail Année : 2021

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.

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hal-03335427 , version 1 (06-09-2021)

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  • HAL Id : hal-03335427 , version 1

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Jean-Baptiste Bellet. An exact Radon formula for Lambertian tomography. 2021. ⟨hal-03335427⟩
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