diff --git a/src/main/java/fr/ign/voxatile/core/tasks/RenderPoints2dTask.java b/src/main/java/fr/ign/voxatile/core/tasks/RenderPoints2dTask.java
index 4f32b2772..d19684c7c 100644
--- a/src/main/java/fr/ign/voxatile/core/tasks/RenderPoints2dTask.java
+++ b/src/main/java/fr/ign/voxatile/core/tasks/RenderPoints2dTask.java
@@ -39,7 +39,7 @@ public RenderPoints2dTask(
     @Override
     protected void run(Shape2dConvertibleModel model, GenerationTile tile) {
         ReadableHeightmap heightmap = tile.heightmap(heightmapSpec);
-        for (Positioned2d point : voxelizer.voxelize(model)) {
+        for (Positioned2d point : tile.limits().to2d().filterInside(voxelizer.voxelize(model))) {
             WorldCoords2d pos = point.coords();
             placeable.place(tile.voxels(), pos.x(), pos.y(), heightmap.get(pos));
         }
diff --git a/src/main/java/fr/ign/voxatile/core/tasks/RenderPointsTask.java b/src/main/java/fr/ign/voxatile/core/tasks/RenderPointsTask.java
index 902d02909..760bad386 100644
--- a/src/main/java/fr/ign/voxatile/core/tasks/RenderPointsTask.java
+++ b/src/main/java/fr/ign/voxatile/core/tasks/RenderPointsTask.java
@@ -31,7 +31,7 @@ public RenderPointsTask(
 
     @Override
     protected void run(Shape3dConvertibleModel model, GenerationTile tile) {
-        for (Positioned3d point : voxelizer.voxelize(model))
+        for (Positioned3d point : tile.limits().filterInside(voxelizer.voxelize(model)))
             placeable.place(tile.voxels(), point.coords());
     }
 }