A method and apparatus for imaging including reconstruction of an image of an object from a set of projections acquired for different positions of an acquisition apparatus around the object to be imaged and in which a projection source is situated at a finite distance relative to the acquisition apparatus. The method includes undertaking a set of rectifications of projections acquired for different positions of the acquisition apparatus, rectifications comprising transforming the data of the projection acquired projection into projection data on a virtual rectification support placed in a preset orientation in concordance with a set of reconstruction calculation points distributed over the image to be reconstructed.