Reflective tomography solved by the inverse Radon transform

Gaël Rigaud (1) , Jean-Baptiste Bellet (1) , Gérard Berginc (2) , Ion Berechet (3) , Stefan Berechet (3)

1 IECL - Institut Élie Cartan de Lorraine
2 Thales Optronique SA
3 Sispia

This paper is concerned with imaging a 3D scene from a set of 2D laser images of backscattered intensity. The interaction between an electromagnetic wave and a medium can be understood and modeled in different ways. In the context considered here, the interaction results in a 3D projection of the scene. After inspection in this projection, the reflection data appear as a sum in 3D of local sinograms with severely limited angle view. Therefore, the approach proposed here consists in considering reflection data as an incomplete data set of Radon-kind used in conventional Computerized Tomography (CT). Under this assumption, the use of the reconstruction techniques, such as the well-known filtered backprojection (FBP), provides a 3D-surface reconstruction of the scene from reflective data. Such 3D reconstructions are performed with short computation times. Simulation results using real data in laser tomography attest of the strength and of the relevancy of such an approach.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]; Imagerie médicale

Gaël Rigaud, Jean-Baptiste Bellet, Gérard Berginc, Ion Berechet, Stefan Berechet. Reflective tomography solved by the inverse Radon transform. 2015. ⟨hal-01207663⟩