1. A method for color grading input video data for display on a target display, the method comprising: by apparatus comprising one or more data processors configured by software, one or more programmable logic devices, one or more logic circuits or a combination thereof: 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 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; mapping the input video data to color-graded video data according to the parameterized transfer function specified using the initial values, wherein the parameterized transfer function comprises a non-linear region in log-log space; and providing a control for manually adjusting a value of a first parameter, the control configured to, in response to a manual control adjustment, adjust the value of a first parameter and adjust a value of a second parameter by an amount proportional to the adjustment of the value of the first parameter.