Method for displaying by an operator on a display unit, a multispectral image formed of a plurality of spectral images (11, 12, 13,...) of the same scene that have been captured simultaneously in separate spectral bands respectively, the method comprising the following successive steps: /1/ within the multispectral image, selecting an analysis window corresponding to a portion of the scene and a plurality of target regions (T 1, T 2, T 3, T 4,...) in the analysis window, each target region being associated with a background region and separated from said background region by an intermediate region so that each target region is not adjacent with the background region that is associated with said target region; /2/ separately for each target region (T 1, T 2, T 3, T 4,...) in the analysis window, carrying out the following sub-steps: /2-1/ determining a Fisher projection based on intensity values of the spectral images, said Fisher projection being a linear combination of the spectral images (11, 12, 13,...) which optimises a contrast between the target region (T 1, T 2, T 3, T 4,...) and the background region that is associated with said target region; and /2-2/ applying the Fisher projection determined in sub-step /2-1/ to the intensity values of the spectral images (11, 12, 13,...) in the analysis window, such as to obtain a basic image of the portion of scene that is contained in the analysis window for each target region (T 1, T 2, T 3, T 4,...) selected in step /1/; then /3/ combining the basic images in order to form a combined image relative to the portion of scene that is contained in the analysis window; and /4/ displaying an image of the scene on the display unit, using in the analysis window the combined image that was obtained in step /3/, characterised in that a shared background region is associated with all of the target regions (T 1, T 2, T 3, T 4,...) in the analysis window. /1/ within the multispectral image, selecting an analysis window corresponding to a portion of the scene and a plurality of target regions (T 1, T 2, T 3, T 4,...) in the analysis window, each target region being associated with a background region and separated from said background region by an intermediate region so that each target region is not adjacent with the background region that is associated with said target region; /2/ separately for each target region (T 1, T 2, T 3, T 4,...) in the analysis window, carrying out the following sub-steps: /2-1/ determining a Fisher projection based on intensity values of the spectral images, said Fisher projection being a linear combination of the spectral images (11, 12, 13,...) which optimises a contrast between the target region (T 1, T 2, T 3, T 4,...) and the background region that is associated with said target region; and /2-2/ applying the Fisher projection determined in sub-step /2-1/ to the intensity values of the spectral images (11, 12, 13,...) in the analysis window, such as to obtain a basic image of the portion of scene that is contained in the analysis window for each target region (T 1, T 2, T 3, T 4,...) selected in step /1/; then /2-1/ determining a Fisher projection based on intensity values of the spectral images, said Fisher projection being a linear combination of the spectral images (11, 12, 13,...) which optimises a contrast between the target region (T 1, T 2, T 3, T 4,...) and the background region that is associated with said target region; and /2-2/ applying the Fisher projection determined in sub-step /2-1/ to the intensity values of the spectral images (11, 12, 13,...) in the analysis window, such as to obtain a basic image of the portion of scene that is contained in the analysis window for each target region (T 1, T 2, T 3, T 4,...) selected in step /1/; then /3/ combining the basic images in order to form a combined image relative to the portion of scene that is contained in the analysis window; and /4/ displaying an image of the scene on the display unit, using in the analysis window the combined image that was obtained in step /3/,