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docs/nodes/Synthetic Surface.md
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docs/nodes/Synthetic Surface.md
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# Synthetic Surface
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Generate synthetic test surfaces for development, calibration, and algorithm testing. Equivalent to Gwyddion's *_synth.c modules.
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## Outputs
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| Name | Type | Description |
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|------|------|-------------|
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| surface | DATA_FIELD | Generated synthetic surface |
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## Controls
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| Name | Type | Default | Description |
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|------|------|---------|-------------|
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| pattern | dropdown | fbm | Pattern type: fbm, white_noise, lattice, steps, particles, flat |
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| xres | INT | 256 | Horizontal resolution in pixels (16–2048) |
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| yres | INT | 256 | Vertical resolution in pixels (16–2048) |
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| xreal | FLOAT | 1e-6 | Physical width in metres |
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| yreal | FLOAT | 1e-6 | Physical height in metres |
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| amplitude | FLOAT | 1e-9 | Peak-to-peak amplitude in metres |
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| seed | INT | 42 | Random seed for reproducibility (0–999999) |
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| hurst_exponent | FLOAT | 0.7 | FBM roughness exponent: 0 = rough, 1 = smooth (fbm only) |
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| lattice_spacing | FLOAT | 100e-9 | Lattice period in metres (lattice only) |
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| lattice_angle | FLOAT | 90.0 | Angle between lattice vectors in degrees (lattice only) |
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| n_steps | INT | 5 | Number of step terraces (steps only) |
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| n_particles | INT | 20 | Number of particles (particles only) |
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| particle_radius_px | INT | 10 | Particle radius in pixels (particles only) |
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## Notes
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- **fbm**: Fractional Brownian motion via spectral synthesis. Hurst exponent controls roughness.
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- **white_noise**: Gaussian random noise.
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- **lattice**: Two-axis sinusoidal grid with configurable spacing and angle.
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- **steps**: Terraced step structure with equal step heights.
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- **particles**: Random spherical particles on a flat background.
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- **flat**: Zero surface (useful as a baseline).
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- All patterns are normalised to the specified amplitude range.
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