Abstract: An image decoding method and apparatus according to an embodiment may extract, from a bitstream, a quantization coefficient generated through core transformation, secondary transformation, and quantization; generate an inverse-quantization coefficient by performing inverse quantization on the quantization coefficient; generate a secondary inverse-transformation coefficient by performing secondary inverse-transformation on a low frequency component of the inverse-quantization coefficient, the secondary inverse-transformation corresponding to the secondary transformation; and perform core inverse-transformation on the secondary inverse-transformation coefficient, the core inverse-transformation corresponding to the core transformation.

Abstract: An image decoding method and apparatus according to an embodiment may extract, from a bitstream, a quantization coefficient generated through core transformation, secondary transformation, and quantization; generate an inverse-quantization coefficient by performing inverse quantization on the quantization coefficient; generate a secondary inverse-transformation coefficient by performing secondary inverse-transformation on a low frequency component of the inverse-quantization coefficient, the secondary inverse-transformation corresponding to the secondary transformation; and perform core inverse-transformation on the secondary inverse-transformation coefficient, the core inverse-transformation corresponding to the core transformation.

Abstract: An image decoding method and apparatus according to an embodiment may extract, from a bitstream, a quantization coefficient generated through core transformation, secondary transformation, and quantization; generate an inverse-quantization coefficient by performing inverse quantization on the quantization coefficient; generate a secondary inverse-transformation coefficient by performing secondary inverse-transformation on a low frequency component of the inverse-quantization coefficient, the secondary inverse-transformation corresponding to the secondary transformation; and perform core inverse-transformation on the secondary inverse-transformation coefficient, the core inverse-transformation corresponding to the core transformation.

Abstract: An image decoding method and apparatus according to an embodiment may extract, from a bitstream, a quantization coefficient generated through core transformation, secondary transformation, and quantization; generate an inverse-quantization coefficient by performing inverse quantization on the quantization coefficient; generate a secondary inverse-transformation coefficient by performing secondary inverse-transformation on a low frequency component of the inverse-quantization coefficient, the secondary inverse-transformation corresponding to the secondary transformation; and perform core inverse-transformation on the secondary inverse-transformation coefficient, the core inverse-transformation corresponding to the core transformation.

Abstract: An image decoding method and apparatus according to an embodiment may extract, from a bitstream, a quantization coefficient generated through core transformation, secondary transformation, and quantization; generate an inverse-quantization coefficient by performing inverse quantization on the quantization coefficient; generate a secondary inverse-transformation coefficient by performing secondary inverse-transformation on a low frequency component of the inverse-quantization coefficient, the secondary inverse-transformation corresponding to the secondary transformation; and perform core inverse-transformation on the secondary inverse-transformation coefficient, the core inverse-transformation corresponding to the core transformation.

Abstract: An image decoding method and apparatus according to an embodiment may extract, from a bitstream, a quantization coefficient generated through core transformation, secondary transformation, and quantization; generate an inverse-quantization coefficient by performing inverse quantization on the quantization coefficient; generate a secondary inverse-transformation coefficient by performing secondary inverse-transformation on a low frequency component of the inverse-quantization coefficient, the secondary inverse-transformation corresponding to the secondary transformation; and perform core inverse-transformation on the secondary inverse-transformation coefficient, the core inverse-transformation corresponding to the core transformation.

Abstract: Provided are a video encoding apparatus, a video encoding method, a video decoding apparatus, and a video decoding method capable of filtering a boundary of partitions within a block.

Abstract: Provided is an image decoding method including: determining at least one prediction block included in a current picture from among pictures forming an image; determining a first motion vector related to a current prediction block from among the at least one prediction block; determining a first reference block included in a first reference picture, based on the first motion vector; determining a second reference block included in a second reference picture, based on a location of the first reference block; and decoding the current picture by performing inter prediction on the current prediction block by using at least one of the first reference block and the second reference block, wherein the second reference picture includes a prediction value of the first reference picture. Also, provided are an image decoding apparatus performing the image decoding method, and an image encoding method and apparatus corresponding to the image decoding method and apparatus.

Abstract: Provided are image encoding and decoding methods and apparatuses using weighted bi-prediction. The image decoding method and apparatus according to one embodiment obtain one or more prefixes including a first counter value indicating the number of additional syntax elements subsequent to main syntax elements from a received bitstream, obtain the additional syntax elements including weight information and information about whether to perform weighted bi-prediction on prediction units separated for predicting a current block, based on the one or more prefixes, and generate a prediction block including a prediction value, based on the main syntax elements and the additional syntax elements.

Abstract: Provided is an image encoding method including determining at least one sample value related to a first block, based on sample values of previously-reconstructed reference samples; determining at least one pattern in which samples of the first block are to be arranged; generating one or more candidate prediction blocks for the first block, based on the at least one sample value and the at least one pattern; and determining prediction values of the samples of the first block, based on one of the one or more candidate prediction blocks.

Abstract: Provided is an image decoding method including: determining at least one prediction block included in a current picture from among pictures forming an image; determining a first motion vector related to a current prediction block from among the at least one prediction block; determining a first reference block included in a first reference picture, based on the first motion vector; determining a second reference block included in a second reference picture, based on a location of the first reference block; and decoding the current picture by performing inter prediction on the current prediction block by using at least one of the first reference block and the second reference block, wherein the second reference picture includes a prediction value of the first reference picture. Also, provided are an image decoding apparatus performing the image decoding method, and an image encoding method and apparatus corresponding to the image decoding method and apparatus.

Abstract: An image decoding method and apparatus according to an embodiment may extract, from a bitstream, a quantization coefficient generated through core transformation, secondary transformation, and quantization; generate an inverse-quantization coefficient by performing inverse quantization on the quantization coefficient; generate a secondary inverse-transformation coefficient by performing secondary inverse-transformation on a low frequency component of the inverse-quantization coefficient, the secondary inverse-transformation corresponding to the secondary transformation; and perform core inverse-transformation on the secondary inverse-transformation coefficient, the core inverse-transformation corresponding to the core transformation.

Abstract: Provided are image encoding and decoding methods and apparatuses using weighted bi-prediction. The image decoding method and apparatus according to one embodiment obtain one or more prefixes including a first counter value indicating the number of additional syntax elements subsequent to main syntax elements from a received bitstream, obtain the additional syntax elements including weight information and information about whether to perform weighted bi-prediction on prediction units separated for predicting a current block, based on the one or more prefixes, and generate a prediction block including a prediction value, based on the main syntax elements and the additional syntax elements.

Abstract: Provided are a video encoding apparatus, a video encoding method, a video decoding apparatus, and a video decoding method capable of filtering a boundary of partitions within a block.

Abstract: Provided is a video decoding method according to one embodiment including obtaining a residual signal of a block of an image from a bitstream, determining at least one partition of the block of the image, based on a maskmap which is division information of the block, performing filtering at a boundary of the at least one partition, and generating a reconstructed signal based on a result of performing the filtering. The filtering is performed using at least one of the residual signal and a predicted signal corresponding to the residual signal.

Abstract: Provided is an image encoding method including determining at least one sample value related to a first block, based on sample values of previously-reconstructed reference samples; determining at least one pattern in which samples of the first block are to be arranged; generating one or more candidate prediction blocks for the first block, based on the at least one sample value and the at least one pattern; and determining prediction values of the samples of the first block, based on one of the one or more candidate prediction blocks.