Via a simple algorithm given by the Bent approximation one can reconstruct
a tomographic image of the sound speed of an acoustically penetrable body;
knowing its scattered sound field. This method is based on the hypothesis o
f weak contrast between the body and the external medium. Otherwise the ima
ge is a distorted version of the object. The distortion is characterised an
alytically: Thus we propose a modified algorithm that cancels the image def
ects so as to obtain a fast and reliable reconstruction method. (C) Academi
e des sciences/Elsevier, Paris.