Method for coding intra-prediction mode candidates included in a most probable modes (MPM) and remaining intra prediction modes, and device for same

1. A picture decoding method performed by a decoding apparatus, the method comprising:

constructing a Most Probable Modes (MPM) list including intra prediction mode candidates for a current block based on neighboring blocks of the current block;

decoding remaining mode information indicating one of remaining intra prediction modes not included in the MPM list from a bitstream;

determining an intra prediction mode of the current block based on the decoded remaining mode information;

generating prediction samples for the current block based on the determined intra prediction mode; and

generating reconstructed samples for the current block based on the prediction samples for the current block,

wherein the remaining mode information is decoded based on a truncated binary code,

wherein a number of bits of the truncated binary code for first intra prediction modes of the remaining intra prediction modes is k, and a number of bits of the truncated binary code for second intra prediction modes excepting the first intra prediction modes among the remaining intra prediction modes is k+1,

wherein a number of the first intra prediction modes is L, and

wherein a following equation is applied between the k and u,

k =floor(log 2 u )

where the u represents a total number of the remaining intra prediction modes.

2. The picture decoding method of claim 1 , wherein a following equation is applied between the L and the k,

L= 2 k+1 −u.

3. The picture decoding method of claim 2 , wherein the L is 3, the k is 5, and the u is 61.

4. The picture decoding method of claim 3 , wherein the truncated binary codes for the first intra prediction modes are 00000, 00001 and 00010, respectively, and the truncated binary codes for the second intra prediction modes are 000110, 000111, 001000, . . . , 111111, respectively.

5. The picture decoding method of claim 1 , wherein the intra prediction mode candidates and the remaining intra prediction modes are included in a list and are sorted based on a predetermined order.

6. The picture decoding method of claim 5 , wherein the predetermined order is based on a frequency of use of each of the intra prediction mode candidates and the remaining intra prediction modes.

7. The picture decoding method of claim 5 , wherein the predetermined order is based on intra prediction mode numbers and offset values of the intra prediction mode candidates.

8. The picture decoding method of claim 1 , wherein the remaining intra prediction modes are included in a list and are sorted based on a predetermined order.

9. The picture decoding method of claim 8 , wherein the predetermined order is an ascending order based on an intra prediction mode number of each of the remaining intra prediction modes.

10. The picture decoding method of claim 8 , wherein the predetermined order is based on a frequency of use of each of the remaining intra prediction modes.

11. The picture decoding method of claim 8 , wherein the predetermined order is based on intra prediction mode numbers and offset values of the intra prediction mode candidates.

12. The picture decoding method of claim 11 , wherein:

the offset values include a first offset value, a second offset value, a third offset value, and a fourth offset value;

when a number of the intra prediction mode candidates is 6 and the intra prediction mode numbers of the intra prediction mode candidates are a, b, c, d, e, and f in order,

an intra prediction mode whose intra prediction mode number is a − the first offset value, an intra prediction mode whose intra prediction mode number is a + the first offset value, an intra prediction mode whose intra prediction mode number is b − the first offset value, an intra prediction mode whose intra prediction mode number is b + the first offset value, an intra prediction mode whose intra prediction mode number is c − the first offset value, an intra prediction mode whose intra prediction mode number is c + the first offset value, an intra prediction mode whose intra prediction mode number is d − the first offset value, an intra prediction mode whose intra prediction mode number is d + the first offset value, an intra prediction mode whose intra prediction mode number is e − the first offset value, an intra prediction mode whose intra prediction mode number is e + the first offset value, an intra prediction mode whose intra prediction mode number is f − the first offset value, an intra prediction mode whose intra prediction mode number is f + the first offset value, an intra prediction mode whose intra prediction mode number is a − the second offset value, an intra prediction mode whose intra prediction mode number is a + the second offset value, . . . , an intra prediction mode whose intra prediction mode number is f − the fourth offset value, and an intra prediction mode whose intra prediction mode number is f + the fourth offset value are sorted in that order in the list;

when there is an invalid intra prediction mode number among the intra prediction mode numbers to which the offset values are summed, the intra prediction mode according to the invalid intra prediction mode number is excepted from the list; and

the offset values are not applied to an intra non-directional mode among the intra prediction mode candidates.

13. The picture decoding method of claim 12 , wherein the first offset value is 1, the second offset value is 2, the third offset value is 3, and the fourth offset value is 4.

14. A picture encoding method performed by an encoding apparatus, the method comprising:

constructing a Most Probable Modes (MPM) list including intra prediction mode candidates for a current block based on neighboring blocks of the current block;

generating remaining mode information indicating, as an intra prediction mode of the current block, one of remaining intra prediction modes not included in the MPM list;

generating prediction samples for the current block based on the intra prediction mode of the current block;

deriving residual samples for the current block based on the prediction samples for the current block; and

encoding image information including information on the residual samples and the remaining mode information,

wherein the remaining mode information included in the image information is encoded based on a truncated binary code,

wherein a number of bits of the truncated binary code for first intra prediction modes of the remaining intra prediction modes is k, and a number of bits of the truncated binary code for second intra prediction modes excepting the first intra prediction modes among the remaining intra prediction modes is k+1,

wherein a number of the first intra prediction modes is L, and

wherein a following equation is applied between the k and u,

k =floor(log 2 u )

where the u represents a total number of the remaining intra prediction modes.

15. A non-transitory computer readable storage medium storing a bitstream generated by a picture encoding method, the picture encoding method comprising:

constructing a Most Probable Modes (MPM) list including intra prediction mode candidates for a current block based on neighboring blocks of the current block;

generating remaining mode information indicating, as an intra prediction mode of the current block, one of remaining intra prediction modes not included in the MPM list;

generating prediction samples for the current block based on the intra prediction mode of the current block;

deriving residual samples for the current block based on the prediction samples for the current block; and

encoding image information including information on the residual samples and the remaining mode information,

wherein the remaining mode information included in the image information is encoded based on a truncated binary code,

wherein a number of bits of the truncated binary code for first intra prediction modes of the remaining intra prediction modes is k, and a number of bits of the truncated binary code for second intra prediction modes excepting the first intra prediction modes among the remaining intra prediction modes is k+1,

wherein a number of the first intra prediction modes is L, and

wherein a following equation is applied between the k and u,

k =floor(log 2 u )

where the u represents a total number of the remaining intra prediction modes.