Head-up display comprising: - a unit for generating a light beam representing an image, - a unit for projecting the light beam towards a semi-transparent plate, - a filter having a variable transmittance in its plane of extension and arranged transversely to the light beam so that the light beam passes therethrough at a point of impingement, and - a mechanism arranged to effect a relative movement of the filter and of the light beam, according to the plane of extension of the filter, so as to move said point of impingement in the plane of extension of the filter; the filter comprising a first region in which the transmittance varies in one direction from a first value, at a first point, to a second value, at a second point, with a first gradient, and a second region in which the transmittance varies in the same direction from the first value at said first point to a third value, at a third point, with a second gradient greater than the first gradient, characterized by a control module designed to control the mechanism so as to move the point of impingement from the first point selectively into the first region or into the second region, and in which the filter comprises a first band (R 1) exhibiting a transmittance that increases in a given direction and a second band (R 2) exhibiting a transmittance that increases in another direction opposite to the given direction, the first band (R 1) and the second band (R 2) being juxtaposed, the first region extending over the length of the first band (R 1) and the second region extending across the first band (R 1) and the second band (R 2), and the point is located in the second band (R 2). - a unit for generating a light beam representing an image, - a unit for projecting the light beam towards a semi-transparent plate, - a filter having a variable transmittance in its plane of extension and arranged transversely to the light beam so that the light beam passes therethrough at a point of impingement, and - a mechanism arranged to effect a relative movement of the filter and of the light beam, according to the plane of extension of the filter, so as to move said point of impingement in the plane of extension of the filter; the filter comprising a first region in which the transmittance varies in one direction from a first value, at a first point, to a second value, at a second point, with a first gradient, and a second region in which the transmittance varies in the same direction from the first value at said first point to a third value, at a third point, with a second gradient greater than the first gradient, characterized by a control module designed to control the mechanism so as to move the point of impingement from the first point selectively into the first region or into the second region, and in which the filter comprises a first band (R 1) exhibiting a transmittance that increases in a given direction and a second band (R 2) exhibiting a transmittance that increases in another direction opposite to the given direction, the first band (R 1) and the second band (R 2) being juxtaposed, the first region extending over the length of the first band (R 1) and the second region extending across the first band (R 1) and the second band (R 2), and the point is located in the second band (R 2). the filter comprising a first region in which the transmittance varies in one direction from a first value, at a first point, to a second value, at a second point, with a first gradient, and a second region in which the transmittance varies in the same direction from the first value at said first point to a third value, at a third point, with a second gradient greater than the first gradient, characterized by a control module designed to control the mechanism so as to move the point of impingement from the first point selectively into the first region or into the second region, and in which the filter comprises a first band (R 1) exhibiting a transmittance that increases in a given direction and a second band (R 2) exhibiting a transmittance that increases in another direction opposite to the given direction, the first band (R 1) and the second band (R 2) being juxtaposed, the first region extending over the length of the first band (R 1) and the second region extending across the first band (R 1) and the second band (R 2), and the point is located in the second band (R 2).