vlt.image.powerSpectrum2D
POWERSPECTRUM2D - Computes and analyzes the 2D power spectrum of an image.
RESULTS = vlt.image.powerSpectrum2D(IMAGE, Name, Value, ...)
Analyzes the spatial periodicity and orientation of patterns in a 2D image
by computing its 2D Power Spectral Density (PSD). This method is ideal for
quantifying repeating, non-circular patterns (like stripes or Turing patterns).
The function returns a structure with quantitative results and generates two
summary figures.
Inputs:
IMAGE - A 2D matrix (e.g., an image) of double-precision values.
Name-Value Pairs:
'mm_per_pixel' - The physical size of a pixel in millimeters. Used for
scaling the frequency axes. (Default: 1)
'angle_step' - The step size in degrees for computing directional
profiles of the power spectrum. (Default: 10)
'mask' - A logical matrix of the same size as IMAGE. Pixels
where the mask is `false` are excluded from the analysis.
Outputs:
RESULTS - A structure containing the analysis results:
.psd_2d - The 2D Power Spectral Density image.
.spatial_freq_radial - Frequency axis for the radial average (cycles/mm).
.psd_radial_avg - The 1D radially averaged power spectrum.
.peak_spatial_freq - The dominant spatial frequency in the image (cycles/mm).
.peak_orientation - The dominant orientation of the pattern in degrees.
.angles - Angles used for the directional profiles (degrees).
.directional_profiles- A cell array of the 1D power profiles for each angle.
.directional_dist_ax - The distance axis for the directional profiles.