A method for reproducing picture information on an autostereoscopic screen which comprises a pixel matrix with a multitude of pixels, as well as an optical grid which is arranged in front of the pixel matrix, wherein the pixels of the pixel matrix are arranged such that they form a multitude of rows which are arranged equidistantly next to one another and are with a vertical row direction or one which is inclined with respect to a vertical, and wherein the optical grid comprises a family of strip-like structures which are orientated parallel to the rows and are arranged equidistantly next one another and in each case sets at least one defined propagation plane for light departing from the pixels, said propagation plane spanned from a defined horizontal propagation direction and the row direction, wherein a period length of the optical grid which is defined by a lateral offset of adjacent, strip-like structures is larger than a lateral offset (d) of the directly adjacent rows by an integer factor n, wherein n is larger than two, wherein the pixel matrix is activated for an autostereoscopic viewing of a 3D picture from a viewing distance in front of the screen, and wherein the method comprises the following steps: - assigning in each case a first local coordinate value (x 1) and a second local coordinate value (x 2) to each of the mentioned rows, wherein the first local coordinate value (x 1) in each case specifies a location on a coordinate axis which is horizontally orientated at the viewing distance in front of the screen, at which location the defined propagation plane, set by the optical grid, of the light departing from the respective row, or one of these propagation planes, intersects this coordinate axis, and wherein the second local coordinate value (x 2), in the lateral direction specifies a position of the respective row or of the strip-like structure of the optical grid, through which position the light departing from the pixels of this row falls, wherein the first local coordinate value (x 1) in each case is determined in such a precise manner that a number of different first local coordinate values (x 1) which is greater than n is assigned to the different rows, - for each of the rows, computing in each case an extract of a picture by way of picture synthesis, wherein this picture is given in each case by a perspective of the 3D picture to be reproduced, from a position which is defined by the first local coordinate value (x 1) assigned to the respective row, and wherein the extract is defined in each case by a strip of this picture which in this picture has a lateral position corresponding to the second local coordinate value (x 2) assigned to the respective row, so that the extracts which are computed for the different rows are extracts of more than n different pictures with a corresponding number of different perpectives, the number of different pictures and perspectives corresponding to the number of different first local coordinate values (x 1), - activating the pixels of the pixel matrix in a manner such that the extract computed in such a manner for this row is written into each of the rows. - assigning in each case a first local coordinate value (x 1) and a second local coordinate value (x 2) to each of the mentioned rows, wherein the first local coordinate value (x 1) in each case specifies a location on a coordinate axis which is horizontally orientated at the viewing distance in front of the screen, at which location the defined propagation plane, set by the optical grid, of the light departing from the respective row, or one of these propagation planes, intersects this coordinate axis, and wherein the second local coordinate value (x 2), in the lateral direction specifies a position of the respective row or of the strip-like structure of the optical grid, through which position the light departing from the pixels of this row falls, wherein the first local coordinate value (x 1) in each case is determined in such a precise manner that a number of different first local coordinate values (x 1) which is greater than n is assigned to the different rows, - for each of the rows, computing in each case an extract of a picture by way of picture synthesis, wherein this picture is given in each case by a perspective of the 3D picture to be reproduced, from a position which is defined by the first local coordinate value (x 1) assigned to the respective row, and wherein the extract is defined in each case by a strip of this picture which in this picture has a lateral position corresponding to the second local coordinate value (x 2) assigned to the respective row, so that the extracts which are computed for the different rows are extracts of more than n different pictures with a corresponding number of different perpectives, the number of different pictures and perspectives corresponding to the number of different first local coordinate values (x 1), - activating the pixels of the pixel matrix in a manner such that the extract computed in such a manner for this row is written into each of the rows.