diff --git a/src/dolphin/unwrap/_unwrap.py b/src/dolphin/unwrap/_unwrap.py
index 6e1c5fa6c..e786de104 100644
--- a/src/dolphin/unwrap/_unwrap.py
+++ b/src/dolphin/unwrap/_unwrap.py
@@ -28,7 +28,7 @@
 from ._snaphu_py import grow_conncomp_snaphu, unwrap_snaphu_py
 from ._tophu import multiscale_unwrap
 from ._unwrap_3d import unwrap_spurt
-from ._utils import create_combined_mask, set_nodata_values
+from ._utils import create_combined_mask, get_convex_hull_mask, set_nodata_values
 from ._whirlwind import unwrap_whirlwind
 
 logger = logging.getLogger("dolphin")
@@ -385,6 +385,15 @@ def unwrap(
             sim = io.load_gdal(similarity_filename, masked=True).filled(0)
             coherent_pixel_mask &= sim >= sim_cutoff
 
+        # Get only the convex hull of these good pixels
+        # This saves time by avoiding edges that will never get unwrapped well anyway
+        hull = get_convex_hull_mask(
+            coherent_pixel_mask, buffer_pixels=preproc_options.max_radius
+        )
+        # Skip pixels which are outside the hull
+        weights = coherent_pixel_mask.copy()
+        # We skip pixels with weight = 1 and transfer over the input data
+        weights[~hull] = 1
         logger.info(f"Interpolating {pre_interp_ifg_filename} -> {interp_ifg_filename}")
         modified_ifg = interpolate(
             ifg=pre_interp_ifg,
diff --git a/src/dolphin/unwrap/_utils.py b/src/dolphin/unwrap/_utils.py
index 79df2f15f..c8e6f3bb1 100644
--- a/src/dolphin/unwrap/_utils.py
+++ b/src/dolphin/unwrap/_utils.py
@@ -3,6 +3,7 @@
 import logging
 from pathlib import Path
 
+import numpy as np
 import rasterio as rio
 
 from dolphin import io
@@ -149,3 +150,43 @@ def _zero_from_mask(
             like_filename=corr_filename,
         )
     return zeroed_ifg_file, zeroed_corr_file
+
+
+def get_convex_hull_mask(good_mask: np.ndarray, buffer_pixels: int = 0) -> np.ndarray:
+    """Get a boolean image of the convex hull of `True` points in `good_mask`."""
+    import numpy as np
+    from scipy.ndimage import binary_dilation
+    from scipy.spatial import ConvexHull
+
+    hull = ConvexHull(np.stack(np.where(good_mask)).T)
+    # Step 1: Create a grid of all coordinates in the image.
+    grid_rows, grid_cols = np.indices(good_mask.shape)
+
+    # Step 2: Reshape the grid into a list of (row, col) points.
+    # This (N*M, 2) array represents every pixel in the image.
+    all_coords = np.vstack((grid_rows.ravel(), grid_cols.ravel())).T
+
+    # Step 3: Use the hull's equations to find points inside.
+    # The hull is defined by a set of planes. For a point `x` to be inside the hull,
+    # it must satisfy `A @ x.T + b <= 0` for all planes.
+    # The `hull.equations` attribute stores `A` (plane normals) and `b` (offsets).
+    # We can perform this check for all coordinates at once with vectorized operations.
+
+    # `A` contains the normal vectors of the hull's planes.
+    A = hull.equations[:, :2]
+    # `b` contains the offsets of the hull's planes.
+    b = hull.equations[:, 2]
+
+    # Step 4: Perform the check for all coordinates.
+    # `A @ all_coords.T` finds the dot product for all points with all plane normals
+    # We add the offset `b` and check if the result is non-positive.
+    # `np.all(..., axis=0)` ensures the condition is met for ALL planes for each point.
+    # use a small tolerance (1e-6) to account for floating-point inaccuracies.
+    is_inside_hull_flat = np.all(A @ all_coords.T + b[:, np.newaxis] <= 1e-6, axis=0)
+
+    hull_mask = is_inside_hull_flat.reshape(good_mask.shape)
+    if buffer_pixels:
+        hull_mask = binary_dilation(
+            hull_mask, structure=np.ones((3, 3)), iterations=buffer_pixels
+        )
+    return hull_mask