Method and apparatus for performing interpolation based on transform and inverse transform

A method of motion compensation, the method comprising:

• determining, in a luma reference picture, a luma reference block for prediction of a current block by using a luma motion vector;
• generating a luma sample of a 2/4-pixel location included in the luma reference block, by applying an 8-tap interpolation filter to luma samples of an integer pixel location of the luma reference picture;
• and
• generating a luma sample of a ¼-pixel location or a ¾-pixel location included in the luma reference block, by applying an interpolation filter to the luma samples of the integer pixel location of the luma reference picture without using the generated luma sample of the 2/4-pixel location,
• wherein the 8-tap interpolation filter includes eight filter coefficients, and
• wherein filter coefficients of an interpolation filter for generating the luma sample of the ¼-pixel location are arranged in reverse order against filter coefficients of an interpolation filter for generating the luma sample of the ¾-pixel location.