Abstract: Provided is a video encoding method including: calculating a difference value between a rate-distortion (R-D) cost of a first coefficient level from among coefficient levels of a sub-block and an R-D cost of a second coefficient level adjacent to the first coefficient level by using a distortion difference calculated by using an integer of the first coefficient level and an integer of the second coefficient level and a rate variation between the first coefficient level and the second coefficient level; selecting one of the integer values of the first and second coefficient levels as a modified value of the first coefficient level based on the difference value; and outputting the modified value of the first coefficient level.

Abstract: Provided is a video encoding method including: calculating a difference value between a rate-distortion (R-D) cost of a first coefficient level from among coefficient levels of a sub-block and an R-D cost of a second coefficient level adjacent to the first coefficient level by using a distortion difference calculated by using an integer of the first coefficient level and an integer of the second coefficient level and a rate variation between the first coefficient level and the second coefficient level; selecting one of the integer values of the first and second coefficient levels as a modified value of the first coefficient level based on the difference value; and outputting the modified value of the first coefficient level.

Abstract: Provided is a method of encoding an image, the method including determining a scanning sequence for transforming one or more sub-blocks included in a transformation block to be identical to a sequence of quantizing the one or more sub-blocks; determining a sub-block for transformation from among the one or more sub-blocks according to the determined scanning sequence; and performing transformation by applying one or more transformation matrixes with respect to the sub-block for transformation.