adding more nodes

backend/nodes/laplace_interpolation.py

@@ -0,0 +1,57 @@
+"""Laplace interpolation — fill masked regions by solving the Laplace equation."""
+
+from __future__ import annotations
+
+import numpy as np
+
+from backend.node_registry import register_node
+from backend.data_types import DataField
+from backend.nodes.helpers import mask_to_bool
+
+
+@register_node(display_name="Laplace Interpolation")
+class LaplaceInterpolation:
+    @classmethod
+    def INPUT_TYPES(cls):
+        return {
+            "required": {
+                "field": ("DATA_FIELD",),
+                "mask": ("IMAGE",),
+                "iterations": ("INT", {"default": 500, "min": 10, "max": 10000, "step": 10}),
+            }
+        }
+
+    OUTPUTS = (
+        ('DATA_FIELD', 'filled'),
+    )
+    FUNCTION = "process"
+
+    DESCRIPTION = (
+        "Fill masked (missing) regions by solving the Laplace equation with "
+        "Dirichlet boundary conditions from surrounding pixels. "
+        "Produces a smooth, harmonic interpolation without overshooting. "
+    )
+
+    def process(self, field: DataField, mask: np.ndarray, iterations: int) -> tuple:
+        data = np.asarray(field.data, dtype=np.float64).copy()
+        hole = mask_to_bool(mask)
+
+        if not hole.any():
+            return (field.replace(data=data),)
+
+        # Initialize masked pixels to mean of unmasked neighbours or global mean
+        valid_mean = data[~hole].mean() if (~hole).any() else 0.0
+        data[hole] = valid_mean
+
+        # Iterative Jacobi relaxation: replace each masked pixel with
+        # the mean of its 4-connected neighbours
+        padded = np.pad(data, 1, mode='edge')
+        hole_padded = np.pad(hole, 1, mode='constant', constant_values=False)
+
+        for _ in range(iterations):
+            avg = (padded[:-2, 1:-1] + padded[2:, 1:-1] +
+                   padded[1:-1, :-2] + padded[1:-1, 2:]) / 4.0
+            padded[1:-1, 1:-1][hole] = avg[hole]
+
+        data = padded[1:-1, 1:-1].copy()
+        return (field.replace(data=data),)