ИСТИНА

Provided is a method of determining an up-sampling filter to accurately interpolate a sample value for each sampling position according to an up-sampling ratio for scalable video encoding and decoding. An up-sampling method for scalable video encoding includes determining a phase shift between a pixel of a low resolution image and a pixel of a high resolution image based on a scaling factor between the high resolution image and the low resolution image; selecting at least one filter coefficient set corresponding to the determined phase shift from filter coefficient data comprising filter coefficient sets corresponding to phase shifts; generating the high resolution image by performing filtering on the low resolution image by using the selected at least one filter coefficient set; and generating an improvement layer bitstream comprising high resolution encoding information generated by performing encoding on the high resolution image and up-sampling filter information indicating the determined phase shift.