RUSSIAN 
MSU Quality Measurement Tool: Metrics information
MSU Graphics & Media Lab (Video Group)
Metrics Info
 PSNR
 MSAD
 Delta
 MSU Blurring Metric
 MSU Blocking Metric
 SSIM
 MultiScale SSIM
 3Component SSIM
 SpatioTemporal SSIM
 VQM
 MSE
 MSU Brightness Flicking Metric
 MSU Brightness Independent PSNR
 MSU Drop Frame Metric
 MSU Noise Estimation Metric
 MSU Scene Change Detector
PSNR
This metric, which is used often in practice, called peaktopeak signaltonoise ratio — PSNR.
where MaxErr – maximum possible absolute value of color components difference, w – video width,
h – video height. Generally, this metric is equivalent to Mean Square Error, but it is more convenient
to use because of logarithmic scale. It has the same disadvantages as the MSE metric.
In MSU VQMT you can calculate PSNR for all YUV and RGB components and for L component of LUV color space.
In MSU VQMT there are four PSNR implementations. "PSNR" and "APSNR" use the correct way of PSNR calculation
and take maximum possible absolute value of color difference as MaxErr. However, this way of calculation
gives an unpleasant effect after color depth conversion. If color depth is simply increased from 8 to 16 bits,
the "PSNR" and "APSNR" will change, because MaxErr should change according to maximum possible absolute
value of color difference (255 for 8 bit components and 255 + 255/256 for 16 bit components). Thus, "PSNR (256)" and "APSNR (256)" are implemented. They would not change because they use upper boundary of color difference
as MaxErr. The upper boundary is 256. This approach is less correct, but it is used often because it is fast.
Here are the rules of MaxErr definition:
 "PSNR" and "APSNR" – MaxErr varies on color components bits usage:
 255 for 8 bit components
 255 + 3/4 for 10 bit components
 255 + 63/64 for 14 bit components
 255 + 255/256 for 16 bit components
 100 for L component of LUV color space
 If bits depth differs for two compared videos, then maximum bits usage is taken to select MaxErr.
 All color space conversions are assumed to lead to 8 bit images. It means that if, for example, you are measuring RRGB PSNR for 14 bit YUV file, then 255 will be taken as MaxErr.
 "PSNR (256)" and "APSNR (256)" – MaxErr is selected according to the next rules:
 256 for YUV and RGB color spaces
 100 for L component of LUV color space
This way of average PSNR calculation is used in "PSNR" and "PSNR (256)". However, sometimes it is needed to take
simple average of all the per frame PSNR values. "APSNR" and "APSNR (256)" are implemented for this case
and calculate average PSNR by simply averaging per frame PSNR values.
The next table summarizes the differences:



PSNR 
correct 
correct 
PSNR (256) 
256 (fast, inexact) 
correct 
APSNR 
correct 
averaging 
APSNR (256) 
256 (fast, inexact) 
averaging 
Colors, in order of PSNR growing: red, yellow, green, blue, black (Note: larger PSNR means smaller the difference)
MSAD
The value of this metric is the mean absolute difference of the color components in the correspondent points of image. This metric is used for testing codecs and filters.
Delta
The value of this metric is the mean difference of the color components in the correspondent points of image. This metric is used for testing codecs and filters.
Note: Red color X_{ij} > Y_{ij}, green color X_{ij} < Y_{ij}
MSU Blurring Metric
This metric allows you to compare power of blurring of two images. If value of the metric for first picture is greater than for second, it means that second picture is more blurred than first.
Note: Red color – first image is more sharper, than second. Green color – second image is sharper than first.
MSU Blocking Metric
This metric was created to measure subjective blocking effect in video sequence. For example, in contrast areas of the frame blocking is not appreciable, but in smooth areas these edges are conspicuous. This metric also contains heuristic method for detecting objects edges, which are placed to the edge of the block. In this case, metric value is pulled down, allowing to measure blocking more precisely. We use information from previous frames to achieve better accuracy.
SSIM Index
SSIM Index is based on measuring of three components (luminance similarity, contrast similarity and structural similarity) and combining them into result value.
Note: Brighter areas correspond to greater difference.
There are 2 implementations of SSIM in our program: fast and precise. The fast one is equal to our previous SSIM implementation. The difference is that the fast one uses box filter, while the precise one uses Gaussian blur.
Notes: Fast implementation visualization seems to be shifted. This effect is caused by the sum calculation algorithm for the box filter. The sum is calculated over the block to the bottomleft or upleft of the pixel (depending on if the image is bottomup or topdown).
 SSIM metric has two coefficients. They depend on the maximum value of the image color component. They are
calculated using the following equations:
 C1 = 0.01 * 0.01 * video1Max * video2Max
 C2 = 0.03 * 0.03 * video1Max * video2Max
 videoMax = 255 for 8 bit color components
 videoMax = 255 + 3/4 for 10 bit color components
 videoMax = 255 + 63/64 for 14 bit color components
 videoMax = 255 + 255/256 for 16 bit color components
MultiScale SSIM INDEX
MultiScale SSIM INDEX based on SSIM metric of several downscaled levels of original images. Result is weighted average of those metrics.
Note: Brighter areas correspond to greater difference.
Two algorithms are implemented for MultiScale SSIM – fast and precise, as for SSIM metric. The difference is that the fast one uses box filter, while the precise one uses Gaussian blur.
Notes:
 Because result metric is calculated as multiplication of several metric values below 1.0 visualization seems to be dark. Fast implementation visualization seems to be shifted. This effect is caused by the sum calculation algorithm for the box filter. The sum is calculated over the block to the bottomleft or upleft of the pixel (depending on if the image is bottomup or topdown).
 Levels weights (0 corresponds to original frame, while 4 corresponds to higher level):
 WEIGHTS[0] = 0.0448;
 WEIGHTS[1] = 0.2856;
 WEIGHTS[2] = 0.3001;
 WEIGHTS[3] = 0.2363;
 WEIGHTS[4] = 0.1333;
3Component SSIM INDEX
3Component SSIM Index based on region division of source frames. There are 3 types of regions – edges, textures and smooth regions. Result metric calculated as weighted average of SSIM metric for those regions. In fact, human eye can see difference more precisely on textured or edge regions than on smooth regions. Division based on gradient magnitude is presented in every pixel of images.
Note: More bright areas corresponds to greater difference.
SpatioTemporal SSIM
The idea of this algorithm is to use motionoriented weighted windows for SSIM Index. MSU Motion Estimation algorithm is used to retrieve this information. Based on the ME results, weighting window is constructed for every pixel. This window can use up to 33 consecutive frames (16 + current frame + 16). Then SSIM Index is calculated for every window to take into account temporal distortions as well. In addition, another spooling technique is used in this implementation. We use only lower 6% of metric values for the frame to calculate frame metric value. This causes larger metric values difference for difference files.
Note: Brighter blocks correspond to greater difference.
VQM
VQM uses DCT to correspond to human perception.
Note: Brighter blocks correspond to greater difference.
MSE
MSU Video Quality Measurement Tools
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Other resources
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Last updated: 10May2017 

Project updated by
Server Team and MSU Video Group
Project sponsored by YUVsoft Corp.
Project supported by MSU Graphics & Media Lab