Flat Field/de

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fherb (talk) 12.3.2017

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Flat-field correction is used to compensate for the non-uniformity characteristics of the camera and lens combination. A well known example of such non-uniformity is vignetting - a peripheral darkening of the image, more pronounced in the corner areas. Another example, more familiar to users of digital medium format cameras, is the lens cast effect - both color and luminance non-uniformity of the image field. Both of these examples of non-uniform image capture can be further complicated by a possible misalignment of the lens mount or by the usage of a tilt-shift lens. Another set of examples of capture non-uniformity is due to light leakage in the camera, thermal non-uniformity of the sensor or defects/irregularities in the sensor readout electronics. An alternate name for this type of function used by some other raw converters is "LCC correction", ie "lens color cast correction" or just "lens cast correction", but flat-field correction is the better name as it can as decribed correct for many sorts of non-uniformity not just lens cast.

Manual correction of these effects in post-production is quite difficult, especially when needed to be reproduced on a series of images captured under various conditions, and would rarely be perfect.

The "Flat-Field" correction tool in RawTherapee allows both automated and user-guided modes. Flat-field correction is performed only on linear raw data in the beginning of the imaging pipeline and does not introduce gamma-induced shifts. Thus in RawTherapee flat-field correction can be applied to raw files only.

Due to performance considerations, thumbnail images do not reflect flat-field corrections. At present only the main preview in the  Editor tab and the output image can be flat-field corrected.

Accuracy of the flat-field correction is largely based on use of the appropriate flat-field image which should fulfill the requirements of the sort of correction you desire - either lens/camera non-uniformity, or the same including the removal of dust spots. The creation of flat-field images for both purposes is described in the next section.

To illustrate flat-field correction, a flat-field image has been applied unto itself. There is a noticeable light falloff asymmetry shown in the "before" image at the top, as well as a green color-cast. Flat-field correction removes both color and luminance non-uniformities and results in a perfectly uniform image. The histogram of the bottom "after" image indicates that the corrected image does not have any variation in the tones - exactly what one would expect from a uniform (flat) field. The same level of correction is applied to the "real" image when it is flat-field corrected.

All parameters in the "Flat-Field" panel are saved to the processing profile. These settings can be copied and pasted to other images just as any other setting. This includes the flat-field "Auto-selection" option. Pasting it to different images will result in independent auto-selection of the appropriate flat-field for each of them.

Creating and Using Flat-Field Images for the Correction of Camera/Lens Aberrations
It is sufficient to shoot a single flat field image using the same camera body and lens setup as the images you want to apply it to - you do not need several flat-field images with identical settings, unlike dark-frame shots where in order to get higher quality you do need to take several shots with identical settings and merge them. You do not need to merge flat-field shots since merging serves to increase the signal:noise ratio, and this is unnecessary as the flat-field image gets blurred and should have a low ISO. Shoot it at ISO-100 if possible. The white balance setting is irrelevant. The focus setting of the lens while taking the flat-field shot for camera/lens aberration correction does not need to match that of the image you want to apply it to (this is not true if you take flat-field shots for dust removal, as explained in that section). Keep the lens de-focused while taking the flat-field shot. Your flat-field image should be a de-focused photograph of a uniformly lit, uniformly colored and toned subject.

The most optimal method of shooting such a flat-field image is to use a uniform piece of milky, semi-opaque Poly(methyl methacrylate) (PMMA, also sold under the names Acrylite, Lucite, Perspex and Plexiglas). It should be plain, colorless, smooth, with no symbols or writing etched or embossed into it. You can find sheets at hardware and art stores, or you may have luck finding an empty container made of such material - Nordsjö Vävlim containers work well. Cut out a shape the size of your lens barrel. If you use a lens with an extremely wide angle of view, such as Samyang 8mm fisheye lens, then the size will need to be several times larger than the lens barrel - at least 20x20cm. The thickness of the PMMA sheet should be at least 1mm, preferably 3mm or more, to sufficiently blur and distribute the light shining through it. If it is glossy, use fine sandpaper to make the surface matte. This is now your flat-field filter.

Hold your flat-field filter in front of the lens (at full contact with the lens/filter barrel), click the auto-exposure button, and photograph it against a uniform illumination (e.g. point the camera towards a clear sky). The idea is to provide a uniform entrance illumination into the lens. As a result, all non-uniformities of the lens/camera combination can be recognized in the captured raw image as deviations from the ideal spatially uniform (flat-field) response. Take one shot for every major aperture value (f/1.4, f/2, f/2.8, f/4, f/5.6, f/8, f/11, etc.). Remember to press the auto-exposure button each time to keep the histogram centered without clipping.

If you are using a zoom lens instead of a prime, you may need to check whether you need to take a series of shots at major zoom intervals. For example if you have an 18-55mm lens, you may need to take one series of shots at 18mm, one at 36mm and one at 55mm. Test this for yourself with your own gear, as maybe the 36mm shot will be almost identical to the 55mm one and so you could skip the 55mm series of shots.

If you use an electronic lens then the filename is irrelevant as RawTherapee can automatically find the correct flat-field image, however if you use an old manual lens which does not record the aperture or focal length, then name your files as follows: ff_ __ _ .  for example: ff_20141009_pentax18-55mm_36mm_f11.dng This will make finding them manually easy.

Apply the flat-field images to your photos, matching the aperture values of the flat-field images with those of your photos, and keep the "Blur Radius" slider at 32 or above.

If you haven't yet found a PMMA sheet and you need a flat-field image ASAP, you can take a completely de-focused photo of a plain blank wall or a large sheet of matte paper. The difficulty here will be getting the light uniform - remember that the inverse square law is playing against you. The light source should be far away and diffused, as you will not get a good flat-field image using a room light or a diffused strobe. Do not replace the PMMA sheet for a piece of paper, as the paper is far too irregular, and all the variations in thickness and density will show up as lighter/darker regions which will get subtracted from the photo you apply it to. If you want to use paper then get a large blank sheet, place it in an evenly illuminated place such as on a wall opposite a large window or outdoors on the ground under the sky. Zoom into it, de-focused, and take the shots the same way as described above.

Creating and Using Flat-Field Images for Dust Spot Removal
Carefully follow the instructions from above, with the changes and additions described here.

If you intend to use the Flat Field tool for dust spot removal, it is advisable that you take a flat field shot not too long before or after you take the actual photos you want to apply it to, because as time goes by new dust spots on your sensor and lens can appear and old ones can shift or disappear, and if that happens perfect dust spot removal becomes impossible.

The main difference between using a flat-field image for the correction of camera/lens aberrations and for dust removal is that the image will not get blurred inside RawTherapee, and this requires a few changes. Using the flat-field filter described above will make taking these shots significantly easier, faster and more accurate. In addition to shooting one flat-field image at every aperture value, you will also need to take into account the focus setting of the lens. Trying to apply a flat-field image for dust removal taken with the focus setting at 0.5m to a photo taken with the focus at infinity will most likely fail because changing focus zooms the image slightly, even on prime lenses. Luckily, the zoom displacement is very small, so if for every aperture you take one shot at the closes focus (e.g. 0.5m), one at about 2m and one at infinity, this will surely suffice.

The same requirements for zoom lenses apply as described above, as does the file-naming procedure. Additionally, you will want to include the focus setting in your filename: ff_ __ _ _ .  for example: ff_20141009_pentax18-55mm_36mm_f11_2m.dng

Now you see why having a small PMMA flat-field filter is so useful - instead of shooting whole series of shots at home, you can just take the needed shot without changing any camera settings right after you take your actual photo, standing on the mountain top at sunrise or crouching shooting fungus in the woods.

When taking certain kinds of shots, for example macro photos, I tend to stick to f/11, as for my lens this is the optimal trade-off between depth of field and sharpness. If I make the aperture any smaller, diffraction will have a negative effect on the perceived sharpness. Sticking to f/11 for my macros also means that I only need to take one series of flat-field shots. The series would consist of three shots: one at f/11 with the focus at minimum, one with the focus mid-way, and one at infinity. Having a handy flat-field filter makes that very easy.

When to Take Flat-Field Shots
As described above, make a library containing all the required series of shots for your lens(es). You will want to update this library when you get a new lens or a new camera body. Additionally, if you use flat-field shots for dust spot removal, you will want to take new shots after you clean your camera sensor, and when the dust and spot layout changes, i.e. new dust spots appear or old ones disappear.

Algorithm Specifics & Concise Summary
The user or auto-selected raw flat-field image need not have the same white balance as the image to which it is applied. The flat-field is blurred according to any of several user-selectable blur types and choice of blur radius. The blurred flat-field serves as a template for vignetting, lens cast, etc. and be used to correct the corresponding issues in the image file. "Area" blur uses a box blur of the flat-field file and is the normal use of the correction. Use a large blur radius to smooth the flat-field image in order to mitigate any imperfections such as flat-field image noise, dust spots, etc. Use of a small radius will leave these effects in the flat-field image, and will leave their imprint on the corrected image file. This can be used to advantage; for instance if the flat-field has the same dust spots as the image file, use of a blur radius of 0-1 pixels will subtract the darkening caused by the dust, therefore eliminating dust spots from the image. Use the "vertical", "horizontal" or "vertical+horizontal" blur options if the camera generates repeatable line pattern noise, such as repeatable vertical lines.

Organising Flat-Fields
Non-uniformity of the captured field depends on the following parameters:
 * Camera (camera & sensor combination in case when a digital back is used),
 * Lens,
 * Focal distance,
 * Aperture,
 * Lens tilt/shift

It is recommended to assemble a library of flat-fields for camera/lens combinations, taken at various aperture settings (ones which you use in your real photography). It is advisable to name flat-fields descriptively, so that files can be recognized easier by the user, preferably incorporating all parameters listed above. During the flat-field correction process these parameters are read from the Exif data only and the filename is irrelevant from this perspective. The flat-fields should be stored in a dedicated directory. RawTherapee allows to point to it via "Preferences > Image Processing > Flat Field > Flat-fields directory". Setting that directory initiates an analysis of its content, and a count of qualifying files and templates is reported in the UI once the scan is complete (this could take a short while depending on the number of flat-field images you have).

Flat-Field File Browser Context Menu Options
You can apply and manage flat-field images from within the File Browser tab, by right-clicking on a thumbnail and selecting the "Flat-field" option. You will be presented with three sub-options:
 * "Select flat-field" brings up the file selection dialog to select a flat-field file to be applied to the selected images.
 * "Auto flat-field" allows to run the "Auto-select" option on the currently selected images.
 * "Move to flat-fields directory" moves the selected image into the directory specified in Preferences.

Auto Selection
Flat-field auto-selection capability can be engaged simply by checking the "Auto-selection" checkbox. RawTherapee will search through the files in the "Flat-fields directory" specified in preferences and select the exact or, if not available, the closest match to the image being corrected based on camera make, model, lens, focal length, aperture and date of the flat-field file. If a match is found, the filename of the selected flat-field image will be displayed along with its aperture setting. If a match is not found, flat-field correction will not be applied and a message will be displayed to the user. If more than one exactly matching flat-fields are found, their data will be averaged and then used for flat-field correction.

Auto-selection does not account for the tilt-shift settings used on the lens, therefore such flat-fields should not be stored in the main flat-fields directory, but rather in a descriptively named sub-directory. Such unusual flat-field files should be applied manually.

Auto matching logic
Key for flat-fields (ffInfo::key):
 * camera manufacturer
 * camera model
 * lens
 * focal length
 * aperture

The search for the best match is twofold:
 * if perfect matches by key are found, then the list is scanned for lesser distance in time,
 * otherwise if no match is found, the whole list is searched for lesser distance in lens and aperture.

Blur Type

 * Area
 * The default and generally most useful setting to apply blur action equally in all directions. Works well for correcting vignetting and lens cast.


 * Vertical
 * Blurs the flat-field vertically to compensate for vertical non-uniformities. This is useful if the vertical sensor readout has variation between columns.


 * Horizontal
 * Blurs the flat-field horizontally to compensate for horizontal non-uniformities. This is useful if the horizontal sensor readout has variation between rows.


 * Vertical + Horizontal
 * Blurs the flat-field sequentially horizontally and then vertically to compensate for both vertical and horizontal non-uniformities.

Note that the concept of vertical and horizontal is related to how the sensor is oriented in the raw file, which is always the same regardless if the camera was held horizontally or vertically when shooting. It varies between camera models if the sensor data is stored in landscape or portrait format so if you want to use Vertical or Horizontal modes you need to test which direction that is right for your model.

Blur Radius
The "Blur Radius" slider controls the degree of blurring of the flat-field data. The default value of 32 is usually sufficient to get rid of localized variations of raw data due to noise. Setting the blur radius to 0 skips the blurring process and allows to correct for dust and other debris on the sensor (as long as their position in the flat-field image is the same as in the photo the flat-field is applied to) at the expense of carrying noise from the flat-field file into the corrected image. If such correction is desired, it is advisable to create flat-field files with minimum amount of noise at the lowest ISO setting and optimal light exposure.

Clip Control
Applying a flat-field image can cause nearly-overexposed areas in the image to become overexposed due to the correction. Activating the Clip Control option will keep the flat-field image from clipping the actual image. Areas in the actual image which were already clipped before the application of the flat-field image may acquire a color cast, therefore as a rule of thumb, if your photo contains overexposed areas it is better to not use Clip Control.

To understand exactly how Clip Control works we need to get a bit technical. The Flat-Field tool works by adjusting the exposure of areas of the actual image whose corresponding areas in the flat-field image are different to the measured exposure of the center of the flat-field image. The factor by which the exposure of an area of the actual image is increased is proportional to how much darker the corresponding area in the flat-field image is relative to the measured exposure of the center of the flat-field image. When Clip Control is disabled or at 0, pixels of the actual image can have their exposure increased beyond the raw white level. Clip Control works by calculating the factor against the raw white level, so that no corrected pixel will exceed the value of the white level.

For instance, if the required exposure increase of a pixel in the actual image would be 1.25 that of the raw white level (1), then the limiting factor would be 1 / 1.25 = 0.8. This factor would then be used in the final calculation to prevent any pixel's value from exceeding the white level. The formula for the slider is Therefore with a limiting factor of 0.8, the value of the slider would be 20.