Image processing device for computing an initial phase having magnitude and direction based on image processing information

An image processing device comprising at least one of:

• a rotator rotating an input image input to the image processing device based on rotation angle information;
• a scaler scaling up or down the input image based on scaling ratio information;
• and
• a chroma subsampling converter converting a first format of the input image to a second format based on chroma subsampling format conversion information,
• wherein the image processing device computes an initial phase corresponding to a difference between a position of a first pixel of the input image and a position of a first pixel of an output image output from the image processing device based on at least one of the rotation angle information, the scaling ratio information, or the chroma subsampling format conversion information.