Linear Transformation
Original Manual
With this filter you can apply matrices of linear transformation with 16bit planar precision to convert color curves.
Transformation
Selects the transformation that needs to be applied; currently, only those conversions are supported:
From "Linear_BT601_NTSC" to "Linear_BT709"
From "Linear_BT601_PAL" to "Linear_BT709"
From "Linear_BT709" to "Linear_BT601_NTSC"
From "Linear_BT709" to "Linear_BT601_PAL"
From "Linear_BT709" to "BT2020_HLG"
From "Linear_BT709" to "BT2100_PQ"
From "Linear_BT709" to "DCI_XYZ"
From "Linear_BT709" to "ZLog"
From "BT2100_PQ" to "Linear_BT2020"
From "BT2100_PQ" to "Linear_BT709"
From "BT2100_PQ" to "BT2020_HLG"
From "CLog3" to "Linear_BT709"
From "CLog3" to "BT2020_HLG"
From "CLog3" to "BT2100_PQ"
From "SLog2" to "Linear_BT709"
From "SLog3" to "Linear_BT709"
From "BT2020_HLG" to "Linear_BT709"
From "BT2020_HLG" to "BT2100_PQ"
From "DCI_XYZ" to "Linear_BT709"
From "LogC" to "Linear_BT709"
From "VLog" to "Linear_BT709"
A Linear Transformation is essentially a matrix that maps all points of a certain space to another, which includes of course points belonging to a certain curve to other in order to get a different curve.
Of course, a linear transformation can be used in encoding to map some values to some other values and therefore have conversions from curves like PQ to HLG and so on.
The transformation is performed with 16bit precision, which means that if your input source is lower, let's say, 8bit planar yv12, it will be brought to 16bit planar RGB internally, the linear transformation will be applied with 16bit planar precision and then the result will be brought down to 8bit planar yv12.
Planar RGB 16bit is strongly suggested as your source as it's gonna be faster, in fact 4:2:0, 4:2:2, 4:4:4 planar up to 16bit will be converted back and forth internally.