Motion compensation methods for video coding

1. A computer-implemented method for processing video content, comprising:

determining a plurality of intermediate interpolation coefficients of an interpolation filter, wherein the plurality of intermediate interpolation coefficients are determined:

based on positions of a plurality of integer samples respectively, and

based on fractional reference positions of a plurality of fractional samples respectively;

determining a plurality of integer interpolation coefficients of the interpolation filter by rounding the plurality of intermediate interpolation coefficients to a plurality of integers respectively,

wherein, when one or more of the plurality of intermediate interpolation coefficients do not satisfy a condition, the one or more intermediate interpolation coefficients are rounded to minimize a sum of rounding errors of the plurality of intermediate interpolation coefficients; and

applying the plurality of integer interpolation coefficients on a picture to perform motion compensation prediction.

2. The method according to claim 1 , wherein determining the plurality of integer interpolation coefficients of the interpolation filter by rounding the plurality of intermediate interpolation coefficients to the plurality of integers respectively further comprises:

minimizing the sum of rounding errors of the plurality of intermediate interpolation coefficients.

3. The method according to claim 1 , further comprising:

in response to a first intermediate interpolation coefficient satisfying the condition, rounding the first intermediate interpolation coefficient to an integer that is nearest to the first intermediate interpolation coefficient.

4. The method according to claim 1 , wherein the condition comprises:

a difference between an intermediate interpolation coefficient and an integer that is nearest to the intermediate interpolation coefficient is less than a given threshold.

5. The method according to claim 1 , wherein applying the plurality of integer interpolation coefficients on the picture further comprises:

smoothing the plurality of integer interpolation coefficients based on a smoothing window function.

6. The method according to claim 5 , wherein the smoothing window function is at least one of:

a cosine function in association with the positions of the plurality of integer samples, the fractional reference positions of the plurality of fractional samples, and a smoothing parameter; or

a sine function in association with the positions of the plurality of integer samples, the fractional reference positions of the plurality of fractional samples, and a smoothing parameter.

7. The method according to claim 5 , wherein an output of the smoothing window function is a constant value.

8. The method according to claim 7 , wherein the constant value is equal to 1.

9. A system for processing video content, comprising:

a memory for storing a set of instructions; and

at least one processor configured to execute the set of instructions to cause the system to perform:

determining a plurality of intermediate interpolation coefficients of an interpolation filter, wherein the plurality of intermediate interpolation coefficients are determined:

based on positions of a plurality of integer samples respectively, and

based on fractional reference positions of a plurality of fractional samples respectively;

determining a plurality of integer interpolation coefficients of the interpolation filter by rounding the plurality of intermediate interpolation coefficients to a plurality of integers respectively,

wherein, when one or more of the plurality of intermediate interpolation coefficients do not satisfy a condition, the one or more intermediate interpolation coefficients are rounded to minimize a sum of rounding errors of the plurality of intermediate interpolation coefficients; and

applying the plurality of integer interpolation coefficients on a picture to perform motion compensation prediction.

10. The system according to claim 9 , wherein in determining the plurality of integer interpolation coefficients of the interpolation filter by rounding the plurality of intermediate interpolation coefficients to the plurality of integers respectively, the at least one processor is configured to execute the set of instructions to cause the system to further perform:

minimizing the sum of rounding errors of the plurality of intermediate interpolation coefficients.

11. The system according to claim 9 , wherein the at least one processor is configured to execute the set of instructions to cause the system to further perform:

in response to a first intermediate interpolation coefficient satisfying the condition, rounding the first intermediate interpolation coefficient to an integer that is nearest to the first intermediate interpolation coefficient.

12. The system according to claim 9 , wherein the condition comprises:

a difference between an intermediate interpolation coefficient and an integer that is nearest to the intermediate interpolation coefficient is less than a given threshold.

13. The system according to claim 9 , wherein in applying the plurality of integer interpolation coefficients on the picture further, the at least one processor is configured to execute the set of instructions to cause the system to further perform:

smoothing the plurality of integer interpolation coefficients based on a smoothing window function.

14. The system according to claim 13 , wherein the smoothing window function is at least one of:

a cosine function in association with the positions of the plurality of integer samples, the fractional reference positions of the plurality of fractional samples, and a smoothing parameter; or

a sine function in association with the positions of the plurality of integer samples, the fractional reference positions of the plurality of fractional samples, and a smoothing parameter.

15. The system according to claim 13 , wherein an output of the smoothing window function is a constant value.

16. The system according to claim 15 , wherein the constant value is equal to 1.

17. A non-transitory computer readable medium storing instructions that are executable by at least one processor of a computer system, wherein the execution of the instructions causes the computer system to perform a method comprising:

determining a plurality of intermediate interpolation coefficients of an interpolation filter, wherein the plurality of intermediate interpolation coefficients are determined:

based on positions of a plurality of integer samples respectively, and

based on fractional reference positions of a plurality of fractional samples respectively;

determining a plurality of integer interpolation coefficients of the interpolation filter by rounding the plurality of intermediate interpolation coefficients to a plurality of integers respectively,

wherein, when one or more of the plurality of intermediate interpolation coefficients do not satisfy a condition, the one or more intermediate interpolation coefficients are rounded to minimize a sum of rounding errors of the plurality of intermediate interpolation coefficients; and

applying the plurality of integer interpolation coefficients on a picture to perform motion compensation prediction.

18. The non-transitory computer readable medium according to claim 17 , wherein in determining the plurality of integer interpolation coefficients of the interpolation filter by rounding the plurality of intermediate interpolation coefficients to the plurality of integers respectively, the execution of the instructions causes the computer system to further perform:

minimizing the sum of rounding errors of the plurality of intermediate interpolation coefficients.