MSE (Mean Squared Error)

General info

Metric type

full-reference image metric

Value range

(same images) 0..1 (completely different)

Value interpretation

smaller is better quality

MSU VQMT implementations

CPU multithreaded

MSU VQMT visualization

pixel-wise

Available colorspaces

R, G, B, Y, U, V, L

Output values

metric value

Aggregated values

standard set

MSU VQMT usages

-metr mse [over <color components>]

Other names

-norm

External links

Wikipedia

Algorithm description

Metric depends only on difference of original and distorted, it is L2-norm of this difference. Metric could be computed using the following formula:

where – video width, – video height, image data are in range 0..1.

Benchmark

Choose benchmark:
Implementation System & settings Colors Resolution FPS Sec. per frame
VQMT 14.0 default multithreaded Y HD 720p 558.26 0.003
VQMT 14.0 default multithreaded Y FullHD 1080p 270.53 0.005
VQMT 14.0 default multithreaded Y 4K 2160p 58.87 0.019
VQMT 14.0 default singlethreaded Y HD 720p 178.24 0.007
VQMT 14.0 default singlethreaded Y FullHD 1080p 88.43 0.012
VQMT 14.0 default singlethreaded Y 4K 2160p 22.51 0.047
Measurements were done on VQMT 14.0 BETA r12792 PRO for Windows.
CPU: Intel(R) Core(TM) i7-2600 CPU @ 3.40GHz, 8 cores
GPU: NVIDIA CUDA/GeForce GTX 660 Ti
Values can vary depending on system configuration, input format and other factors
Implementation System & settings Colors Resolution FPS Sec. per frame
VQMT 13.1 default multithreaded Y HD 720p 565.05 0.003
VQMT 13.1 default multithreaded Y FullHD 1080p 257.4 0.005
VQMT 13.1 default multithreaded Y 4K 2160p 54.12 0.02
VQMT 13.1 default singlethreaded Y HD 720p 180.58 0.006
VQMT 13.1 default singlethreaded Y FullHD 1080p 88.57 0.012
VQMT 13.1 default singlethreaded Y 4K 2160p 22.55 0.046
Measurements were done on VQMT 13.1 r12792 PRO for Windows.
CPU: Intel(R) Core(TM) i7-2600 CPU @ 3.40GHz, 8 cores
GPU: NVIDIA CUDA/GeForce GTX 660 Ti
Values can vary depending on system configuration, input format and other factors
Implementation System & settings Colors Resolution FPS Sec. per frame
VQMT 14.0 default multithreaded Y HD 720p 1222.28 0.002
VQMT 14.0 default multithreaded Y FullHD 1080p 666.49 0.004
VQMT 14.0 default multithreaded Y 4K 2160p 84.68 0.02
VQMT 14.0 default singlethreaded Y HD 720p 150.56 0.007
VQMT 14.0 default singlethreaded Y FullHD 1080p 67.56 0.015
VQMT 14.0 default singlethreaded Y 4K 2160p 21.72 0.047
Measurements were done on VQMT 14.0 BETA r12792 PRO for Linux.
CPU: Intel(R) Xeon(R) Silver 4216 CPU @ 2.10GHz, 64 cores
GPU: NVIDIA CUDA/TITAN RTX
Values can vary depending on system configuration, input format and other factors

Example

Choose example:
Download (orig | dist | vis | animation)
Original
LQ H264, MSE-y=0.0005
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
Blurring, MSE-y=0.0006
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
Random points, MSE-y=0.0002
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
Luminance shift, MSE-y=0.0001
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=2, MSE-y=0.0022
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=5, MSE-y=0.0011
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=10, MSE-y=0.0005
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=15, MSE-y=0.0003
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=20, MSE-y=0.0003
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=40, MSE-y=0.0001
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=80, MSE-y=0.0000
MSU VQMT visualization
Choose example:
Download (orig | dist | vis | animation)
Original
LQ H264, MSE-y=0.0008
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
Blurring, MSE-y=0.0027
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
Random points, MSE-y=0.0012
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
Luminance shift, MSE-y=0.0001
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=2, MSE-y=0.0031
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=5, MSE-y=0.0022
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=10, MSE-y=0.0014
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=15, MSE-y=0.0012
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=20, MSE-y=0.0012
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=40, MSE-y=0.0011
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=80, MSE-y=0.0010
MSU VQMT visualization
Choose example:
Download (orig | dist | vis | animation)
Original
LQ H264, MSE-y=0.0059
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
Blurring, MSE-y=0.0022
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
Random points, MSE-y=0.0002
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
Luminance shift, MSE-y=0.0001
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=2, MSE-y=0.0035
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=5, MSE-y=0.0020
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=10, MSE-y=0.0011
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=15, MSE-y=0.0007
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=20, MSE-y=0.0006
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=40, MSE-y=0.0003
MSU VQMT visualization
Download (orig | dist | vis | animation)
Original
JPEG Q=80, MSE-y=0.0001
MSU VQMT visualization

Legacy notes

Since VQMT 12 metric uses input range 0..1. In legacy mode is assumed input range to be 0..255 and 0..100 for L channel.