2D DFT Filter
2D DFT Filter Butterworth BP
2D DFT Filter Butterworth BP Tiled
2D Kernel Convolution
2D Median
2D Morphological Operator
2D Nonlinear Filter
2D Savitzky-Golay filter
Absolute Value
Affine Transformation
Align Channels
Align Series (Image Stabilizer)
Align Tiled Channels
Align Tiled Series (Image Stabilizer)
Anisotropic Diffusion Filter
Attach Intensity Gating Image
Attach Overlay Image
Automatic ROI drawing
Band Pass filter Optimization
Blind Spectral Unmix with NMF
Calculate Simple Crossbleed
Calculate Spatial Moments
Calibration Wizard Parameters
Clear Segmentation Classifiers
Close Image Window
Copy Image Window
Copy ROIs from Other Image
Correct Intensity Jump
Correct Lens Distortion
Count Division and Cell Death
Count Object Colocalization
Create ROI
Create ROIs from Segments
Crop
Crop Image in Place
Crop Image to Segments
Cross-correlation data
Cross-correlation image
Detect Nuclei Convolution
Differential Evolution Optimizer
Distance from Segments
Draw Model Mitochondrion
Draw Random Position Model Mitochondria
EndIf
Erase All ROIs
Excel Window Command
Export
Fill Mask
Fill or Mask Active ROI
FLIPR Calibration with [K+]ec steps and known [K+]ic and known kP
FLIPR Complete Calibration
FLIPR Complete Calibration with known kP
FLIPR Complete Calibration with known kP - Goldman
FLIPR Complete Iterative Calibration
FLIPR Estimate PN
FLIPR Short Calibration based on known potential during MDC and CDC
FLIPR Short Calibration between known baseline and CDC
FLIPR Short Calibration between known baseline and MDC
FLIPR Short Calibration between known baseline and separately measured fP0
FLIPR Short Calibration from Zero with fx=0
FunctionOptions
Get Image Information
Get Linked Channel
If
If Greater Than Zero
Image Arithmetic (image-image math)
Image Arithmetic In Place
Image Arithmetic Single Frame
Inpaint Mask
Input
Invert
Lens Correction Optimization
Link Image Windows
Load and Run Pipeline
Load ROIs
Mask Borders
Mask Frames by Plot Values
Mask Images
Measure Object Intensity
Measure Object Morphology
Mirror or Rotate (new image)
Mirror or Rotate in Place
Multi-Dimensional Open Information
Multi-Dimensional Open Stage Position
Multi-Dimensional Reload Channel
New Image
New Time Scale
Onset Image
Open File
Optical Flow
Options
Pipeline
Pipeline Optimization
Pipeline Optimization Parameter
Plot
Plot Correlation (Colocalization)
Plot Intensities Corresponding to Segments
Plot Morphological Parameters of Segments
Plot Ratio
Plot ROI Dimensions
Plot Tracking Parameters
Potential calibration constants
Potential calibration error propagation
Potential calibration expert overrides
Projection of Vectors from a Point
Ratio
Ratiometric ROI Classifiers
ReCount Division and Cell Death
Reevaluate Segments
Remove Blank Frames
Rename
Resample Image
ROI Classifiers
Run Membrane Potential Calibration
Save ROIs
Scalar Arithmetic (image-value math)
Scalar Arithmetic Multi
Secondary Watershed Segmentation
Select
Select by Number
Sensor Noise Characteristics
Set Reference Image
Set Scaling/LUT
Set Segmentation Classifiers
Set Segmentation Intensity Classifiers
Shift Time Scale
Simple 2D Cross-correlation
Simple Segmentation
Skeletonize
Spectral Unmix
Strip to Well Cell Count
Substitute Poisson Noise
Subtract Background or Normalize
T or Z-project
Template Matching
Temporal Average Filter
Temporal Block Filter
Temporal Median Filter
Temporal Rolling Projection
Temporal Savitzky-Golay Filter
Thinness Ratio Optimization
Threshold
Time Stamp and Scale Bar
TMRM Complete Calibration
TMRM Complete Calibration with known kT
TMRM Complete Calibration with known kT and K-steps
TMRM Short Calibration between known baseline and MDC or CDC
Track Objects
Truncate or Cut
Wait for All Inputs
Watershed Segmentation
Wiener filter
Window Menu Command
Write Back Scaled Values
ΔF/F0

2D DFT Filter Butterworth BP Tiled ( IA2DDFTBPTiled )

Parameters:

Name	Short Name	Type	Description
Number of tiles in x	tilesx	integer	The image consists of this number of equal sized tiles in x dimension.
Number of tiles in y	tilesy	integer	The image consists of this number of equal sized tiles in y dimension.
Cut On ω	cuton	real	Cut on of the band pass Butterworth filter
Cut On order	ordon	real	Order of the cut on of the band pass Butterworth filter
Cut Off ω	cutoff	real	Cut off of the band pass Butterworth filter
Cut Off order	ordff	real	Order of the cut off of the band pass Butterworth filter
unit of ω	units	string	Unit of cut on and off values above
Filter normalization	normalization	string	Normalizes the integral of the 1D or 2D filter function
Preserve edges	edges	boolean	Performs mirrored tiling to prevent edge artifacts. Slows down processing by 4x.
Enlarge paper	enlarge	boolean	Enlarges image by mirrored tiling to quadrangular. Prevents edge artifacts and distortions from non-quadrangular images
Enlarge image to power of 2	enlargeto	integer	Size of image during filtering as power of 2.
Leave only phase	phase	boolean	Sets complex amplitudes in Fourier space to 1 keeping their original arc.
Absolute	absolute	boolean	Calculates absolute value after filtering. Required for intensity measurements on high pass and band pass filtered images.
Protect MASK	protect	boolean	Fills up masked areas with zeros before processing. Required for masked images.

Description:

Performs spatial filtering in Fourier domain in tiled images for sharpening, blind deconvolution, background removal or blurring purposes. A band pass Butterworth filter with rotationally symmetric filter characteristics is defined parametrically.
Each tile of a tiled image is processed independently. The edge protection or paper size is applied for each tile, not for the same image.
Typical use: background removal on tiled images.
Performs spatial filtering in Fourier domain for sharpening, blind deconvolution, background removal or blurring purposes. A band pass Butterworth filter with rotationally symmetric filter characteristics is defined parametrically.
The Butterworth filter can be defined using pixels or cycles/μm as spatial frequency units. Pixel value of 1 means one sine wave spanning the image peaking in the middle. To calibrate spatial frequencies (ω) as cycles/μm the pixel size given in the Setup DFT Filter dialog/Calibration is used. This value is loaded from the image, or if an image does not contain calibration information then the default value in the Edit/Preferences/(Data / Scaling)/Distance Calibration is used.
Use "Filter Normalization" if the resultant pixel values are too low.
Fourier transformation is generally a periodic transform, therefore strongly different intensities in opposite edges of the image result edge artifacts. Edge artifacts can be avoided by tiling a larger image with the original and its mirror images in a symmetric, thus periodic manner. To protect edges use "Preserve edges" when an image is quadrangular and size of power of 2.
Non-quadrangular images are disproportionally filtered in x and y directions, therefore use "Enlarge paper" to tile a larger quadrangular image using the original image before filtering. The result will be cropped to provide an image corresponding to the original one.
"Preserve edges" and "Enlarge paper" do not change the size or spatial calibration of the resultant image, the result is obtained by cropping the enlarged image to the original size. Fourier transformation is incompatible with masking (pixels without a real value), therefore the mask has to be filled up with zeros "Protect MASK" before filtering.
See details of the filtering and the filter function in Gerencser et al. Biophys J. 2008 Sep;95(5):2583-98