| Table of Contents |
|---|
Introduction
Temporal noise is random noise that varies independently from image to image, in contrast to fixed-pattern noise, which remains consistent (but may be difficult to measure because it is usually much weaker than temporal noise). It can be analyzed by Colorcheck and Stepchart and was added to Color/Tone Interactive and Color/Tone Fixed in Imatest 5.1.
...
In this post we compare the two methods and show why method 1 is preferred.
(1) Two-image difference method.
In any of the modules, read two images. The window shown on the right appears. Select the Read two files for measuring temporal noise radio button.
...
In Multicharts and Multitest temporal noise is displayed as dotted lines in Noise analysis plots 1-3 (simple noise, S/N, and SNR (dB)).
(2) Multiple image method.
...
From ISO 15739, sections 6.2.4, 6.2.5, and Appendix A.1.4. Available in Multicharts and Multitest. Currently we are using simple noise (not yet scene-referred noise). Select between at least 4 and 16 files. In the multi-image file list window (shown above) select Read n files for temporal noise. Temporal noise is calculated for each pixel j of the N files (individually labeled i in the equation, below) using
| Eazy math inline | ||
|---|---|---|
|
The latter expression is used in the actual calculation since only two arrays,
| Eazy math inline | ||
|---|---|---|
|
...
Here are the Multicharts results for 2 files.
...
Multi-file method (2) (at least 4
...
files)
Here are results (SNR (dB)) for runs with 4, 8, and 16 files. For 4 files, temporal SNR (thin dotted lines) is slightly better than standard noise. Temporal SNR is slightly lower for 8 files and very slightly lower for 16 files. For 8 and 16 files results are closer to the results for 2 files (though differences between 8 and 16 files are very small). The bottom line: We recommend the two-file (difference) method because it is accurate and relatively fast. The multi file method is slower for acquiring and analyzing images— at least 8 images are recommended, so why bother (unless you need to calculate fixed pattern noise)? |  |
 | |
 |
Temporal noise image
The full Electronic Imaging paper on the noise image can be found on Using images of noise to estimate image processing behavior for image quality evaluation. Noise can be measured anywhere in an image– on edges, etc.– if multiple identical images are acquired. This will lead to some interesting applications. |
As we discussed in Flatfield statistics based on EMVA 1288, temporal noise σdiff (j), which is defined for each pixel j, can be displayed as an image. In order for the image to have good enough quality to display, more samples are required than for method (2) (above), which is used to calculate the average temporal noise in a patch — much less demanding than displaying an image. 32 is a reasonable minimum number of samples. 100 or 128 is even better.
...
To obtain a temporal noise image, multiple images (typically at least 32) must be signal-averaged. This can be done by combining multiple image files or through direct read (more efficient if it’s available). The method for obtaining noise image is described in detail here. Flatfield Interactive is recommended for displaying temporal noise images. We review the key points.
Click on any of the images below to view them full-sized. | |
For direct data acquisition, make sure the camera and Device Manager are set to correctly capture the image of interest. The Preview has to be turned off to enable the adjustments. Click Save when the image in the Device Manager is correct. |
 |
In the Flatfield Interactive window, set Signal averaging to a large number (128 reads here), and check Calculate image^2 while averaging. Because of the sequence of operations in Flatfield Interactive, you may need to read an image (before you have the correct settings), then make the settings, then reread. You may want to crop the image when you read it to make it easier to examine specific regions of interest. |
 |
Here is the original image (cropped). This image is virtually noiseless because the L = 128 averages increases the SNR (Signal-to-Noise Ratio) by 21 dB (3*log2(L)). |
 |
Here is the noise image displayed auto-lightened. This gives a good picture of the noise, but lacks quantitative information. As expected, noise is largest near sharp edges and low in smooth areas of the chart. There is no noise in the white part of the registration mark because it’s fully saturated (pure white). |
 |
Here is the noise image displayed in pseudocolor, which a numeric scale on the right. |
 |
Finally, here is the pseudocolor image greatly enlarged. The 8×8 pixel JPEG artifacts, characteristic of medium-low quality JPEG compression, are plainly visible. |
 |