Inversion of imaging mechanisms by regularization of inverse Volterra models

Authors:
Jordi Inglada;Jean-Marc Le Caillec;René Garello
Affiliations:
CNES, FSA, DCT/SI/AP, BPI 1219, Toulouse and GET-ENST Bretagne (École Nationale Supérieure des Télécommunications de Bretagne), CNRS FRE 2658 TAMCIC-Equipe TIME, DI&TI, Technop ...;GET-ENST Bretagne (École Nationale Supérieure des Télécommunications de Bretagne), CNRS FRE 2658 TAMCIC-Equipe TIME, DI&TI, Technopôôle Brest Iroise-CS 83818, 29238 B ...;GET-ENST Bretagne (École Nationale Supérieure des Télécommunications de Bretagne), CNRS FRE 2658 TAMCIC-Equipe TIME, DI&TI, Technopôôle Brest Iroise-CS 83818, 29238 B ...
Venue:
Signal Processing
Year:
2004

Citing 3
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Abstract

An imaging mechanism is defined as the process by which a sensor obtains an image of a physical reality. The inversion of the imaging mechanism can be a solution when one needs to measure some physical magnitude from imaging data. In this paper we propose a general method to model and invert such imaging mechanisms. Our approach consists of building a forward model based on the knowledge of the physical properties of the mechanism. Since imaging mechanisms can be nonlinear, we introduce the Volterra series expansion as a tool for the modeling. In order to illustrate our approach, we apply this technique to the estimation of underwater bottom topography using synthetic aperture radar images of the ocean surface.