Fourier & Wavelets Module

Perform FFT-based texture analysis, advanced frequency filtering, and multi-scale evaluation using wavelet decomposition.

Frequency spectrum analysis – visualize the frequency spectrum of 3D surfaces using x and y coordinates, wavelength, angle, magnitude, and phase. For 2D profiles, view plots with wavelength, magnitude, and phase components.

Power Spectral Density (PSD) – generate PSD plots and interactively select vertical scaling and measurement locations for both 3D surfaces and 2D profiles.

Analyze isotropy, directionality, and periodicity – calculate surface isotropy, dominant directions, period length, and orientation. Display main texture directions using a compass rose visualization.

Autocorrelation and intercorrelation – study autocorrelation and cross-correlation patterns for both surfaces and profiles in 2D and 3D formats.

Identify subtle spectral patterns – use Hann windowing functions to suppress unwanted spectral lines and enhance detection of smaller structures.

Denoising with FFT filtering – reduce noise in profiles and surfaces by interactively adjusting upper and lower bounds directly on the FFT plot.

Continuous wavelet decomposition – explore how surface features vary across scale and space in 2D profiles. Choose from various wavelet types including Coiflet (1–5), Daubechies (1–10), Discrete Meyer, Gauss (1–8), Mexican Hat, Morlet, and Symlet (1–8).

Discrete wavelet filtering – break down 2D profiles or 3D surfaces into scale-based components. Select specific scale levels to construct the roughness and waviness profiles. Supported wavelet families include Coiflet, Daubechies, Discrete Meyer, Spline, and Symlet. (Spline filtering is an advanced method standardized in ISO 16610.)

Included in:

  • MountainsMap® Premium
  • MountainsLab® Premium

Available with:

  • MountainsMap® Topography
  • MountainsMap® Imaging Topography
  • MountainsMap® Expert
  • MountainsSEM® Expert
  • MountainsSEM® Premium
  • MountainsLab® Expert