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tono/docs/nodes/Displacement Field.md
2026-04-04 00:25:53 -07:00

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Displacement Field

Distort an image using synthetic displacement fields. Supports correlated Gaussian noise and tear-line distortion modes. Equivalent to Gwyddion's displfield.c module.

Inputs

Name Type Required Description
field DATA_FIELD Yes Input field to distort

Outputs

Name Type Description
result DATA_FIELD Distorted field

Controls

Name Type Default Description
method dropdown gaussian_1d Distortion method: gaussian_1d, gaussian_2d, or tear
sigma float 5.0 Distortion amplitude in pixels
tau float 20.0 Lateral correlation length in pixels
density float 0.02 Tear density — fraction of rows that become tear lines (tear mode only)
seed int 42 Random seed for reproducibility

Notes

  • gaussian_1d generates a 1D correlated random displacement applied only in the x direction. All rows share the same displacement profile, simulating a systematic lateral distortion.
  • gaussian_2d generates independent 2D correlated random displacements in both x and y. This produces a more general warping of the image.
  • tear mode simulates scanning artifacts where random horizontal tear lines introduce sudden x-offsets that decay exponentially away from the tear row. This is useful for simulating or studying piezo slip artifacts in SPM data.
  • The sigma parameter controls the magnitude of the displacement. Larger values produce more extreme distortion.
  • The tau parameter controls the spatial correlation length. A larger tau produces smoother, more slowly varying displacement fields. The ratio sigma/tau roughly determines the local strain.
  • For realistic scanning artifacts, use tear mode with low density (0.01--0.05) and moderate sigma.