Abstract: The invention concerns a method and a device to determine a space from a known discrete space for the reconstruction of bidimensional or tridimensional images. In order to achieve this, the method comprises an iterative elementary phase whose aim is to determine the contribution to the value of an element of the unknown space on the basis of the value of the element (and possibly from its vicinity) of the known space by controlling the following successive stages: for predetermining parameters (V1 to V4); for the index determining one point of the known space by a generalized relation including the main acquisition devices V1+eV2/V3+eV4; for determining contributions by interpolation on adjacent points; for weighting contributions, and for adding the weighted contribution to the value of the element of the unknown space during processing.Application for medical optical image formation and for non-destructive industrial controls.