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FLAT-FIELD CORRECTION      291

                                      Raw image


                                   I R                  Intensity  Dark level


                                                                Pixel number
                                      Flat field
                                      Shading                   Shading error
                                        error
                                    I F                 Intensity  Dark level


                                                                Pixel number
                                     Dark image

                                                        Intensity  Dark level
                                   I
                                    D

                                                                Pixel number

                                   I = Corrected image = (I  – I ) / (I  – I )
                                    C
                                                      R
                                                                 D
                                                             F
                                                          D
                                   Corrected image
                                   I C                  Intensity

                                                                Pixel number

                       Figure 15-4
                       Sketch showing strategy for performing a flat-field correction of a raw image. The pairs of
                       figures show the image and an intensity plot across its diameter. The raw image shows a
                       central object with shading error across the background; the intensity profile shows the
                       irregular profile of the object, an overall slope due to shading error, and an overall boost in
                       the signal due to the dark level. The flat-field image is from a featureless background region
                       in the specimen. The dark image, a uniform, blank frame, contains the bias and read noise of
                       the camera. The correction equation: The dark image is subtracted from both the raw and flat
                       images before dividing the corrected raw image by the corrected flat image. The final
                       corrected image is shown with uneven illumination and dark-level contribution removed.
                       (Sketch from Roper Scientific, Inc., with permission)




                          in this frame, a master flat-field frame should be prepared based on the average of
                          9–16 replicate images. In fluorescence microscopy, the flat-field frame can be the
                          image of a uniform field of a fluorescent dye. This can be prepared by streaking a
                          drop of fluorescein-conjugated protein or dextran across the surface of a coverslip,
                          allowing it to dry, and then preparing a permanent reference slide using a drop of
                          ProLong or SlowFade (Molecular Probes, Inc., Eugene, Oregon) or other antifade
                          reagent. Although prepared for a certain dye such as fluorescein, the flat-field frame
                          works well for a number of different filter sets and is useful for days until such time
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