1. A method for color grading input video data for display on a target display, the method comprising: obtaining target display metadata indicative of a capability of the target display; obtaining input video data metadata indicative of image characteristics of the input video data; automatically determining initial values for parameters of a parameterized sigmoidal transfer function, at least one of the initial values based at least in part on at least one of the target display metadata and the input video data metadata; and, mapping the input video data to color-graded video data according to the parameterized transfer function specified using the initial values.