Video Compression Examples
Here are some examples of compressing a video file. The original movie is resolution is 480x720 with 192 frames. We use two compression strategies. The first strategy is to compress each frame using the matrix SVD. The second strategy is to compress the data as a whole using a new higher-order generalization of the SVD as explained in our paper.
The number of terms possible to use in the compression is 480. So in the first example, we are using 10 out of 480 terms. The movies are in AVI format. The number in parentheses is the relative error in the Frobenius norm.
| Original Movie (480 terms) | |
| Matrix SVD with 10 terms
(.0511) |
Tensor SVD with 10 terms
(.0445) |
| Matrix SVD with 20 terms (.0334) |
Tensor SVD with 20 terms (.0308) |
| Matrix SVD with 25 terms (.0285) |
Tensor SVD with 25 terms (.0269) |
| Matrix SVD with 50 terms (.0157) |
Tensor SVD with 50 terms (.0163) |