30 lines
1.3 KiB
Markdown
30 lines
1.3 KiB
Markdown
# Laplace Interpolation
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Fill masked (missing) regions by solving the Laplace equation with Dirichlet boundary conditions from surrounding pixels. Produces a smooth, harmonic interpolation without overshooting. Equivalent to Gwyddion's laplace.c module.
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## Inputs
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| Name | Type | Required | Description |
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|------|------|----------|-------------|
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| field | DATA_FIELD | Yes | Input field with regions to fill |
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| mask | IMAGE | Yes | Binary mask where white (255) marks pixels to interpolate |
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## Outputs
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| Name | Type | Description |
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|------|------|-------------|
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| filled | DATA_FIELD | Field with masked regions filled by Laplace interpolation |
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## Controls
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| Name | Type | Default | Description |
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|------|------|---------|-------------|
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| iterations | INT | 500 | Number of Jacobi relaxation iterations; more iterations = smoother result (10–10000) |
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## Notes
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- Laplace interpolation produces the smoothest possible fill — it minimizes the integral of the squared gradient within the masked region.
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- For small holes (<50 px diameter), 200–500 iterations is usually sufficient. Larger holes may need 1000+.
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- Use a Draw Mask or Threshold Mask node to create the mask input.
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- For surfaces with texture, consider Fractal Interpolation instead, which preserves surface roughness characteristics.
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