A method for improved content mapping using a computer, the method comprising: accessing a video input; accessing a mapping function y = f ( x ) which maps input values x to output values y, wherein the mapping function is only applied to input values within a first range comprising a minimum value and a maximum value; determining a mirror point ( X o , Y o ) , wherein X o denotes the minimum value of the first range and Y o = f ( X o ); determining an extended mapping function based on the mapping function and the mirror point, wherein the extended mapping function is defined for input values within a second range, wherein the second range is larger than the first range and encompasses the first range, wherein determining the extended mapping function further comprises: mapping input to output values according the mapping function for input values larger than the maximum value in the first range; and mirroring the mapping function with respect to the mirror point to generate a mirrored mapped function, and mapping input to output values according to the mirrored mapping function for input values lower than the minimum value in the first range; and applying the extended mapping function to the video input to generate with the computer a video output; wherein mirroring the mapping function with respect to the mirror point further comprises computing y = f X x = − f − x + 2 ∗ X o + 2 ∗ Y o , for x < X o wherein f X ( x ) denotes the extended mapping function; wherein the mapping function is a luminance mapping function which maps input luminance values to output luminance values, and wherein the video output is converted for being displayed on a target screen having a minimum screen luminance Y o greater than zero. accessing a video input; accessing a mapping function y = f ( x ) which maps input values x to output values y, wherein the mapping function is only applied to input values within a first range comprising a minimum value and a maximum value; determining a mirror point ( X o , Y o ) , wherein X o denotes the minimum value of the first range and Y o = f ( X o ); determining an extended mapping function based on the mapping function and the mirror point, wherein the extended mapping function is defined for input values within a second range, wherein the second range is larger than the first range and encompasses the first range, wherein determining the extended mapping function further comprises: mapping input to output values according the mapping function for input values larger than the maximum value in the first range; and mirroring the mapping function with respect to the mirror point to generate a mirrored mapped function, and mapping input to output values according to the mirrored mapping function for input values lower than the minimum value in the first range; and mapping input to output values according the mapping function for input values larger than the maximum value in the first range; and mirroring the mapping function with respect to the mirror point to generate a mirrored mapped function, and mapping input to output values according to the mirrored mapping function for input values lower than the minimum value in the first range; and applying the extended mapping function to the video input to generate with the computer a video output; wherein mirroring the mapping function with respect to the mirror point further comprises computing y = f X x = − f − x + 2 ∗ X o + 2 ∗ Y o , for x < X o wherein f X ( x ) denotes the extended mapping function; wherein the mapping function is a luminance mapping function which maps input luminance values to output luminance values, and wherein the video output is converted for being displayed on a target screen having a minimum screen luminance Y o greater than zero. <EOS>