fix: improve overlap detection to ignore touch points and add bounding box pre-filtering

Part.Intersects now filters out intersection points that coincide with
vertices of both perimeters (shared corners/endpoints), which are touch
points rather than actual crossings. Plate.HasOverlappingParts adds a
bounding box pre-filter requiring overlap region to exceed Epsilon in
both dimensions before performing expensive shape intersection checks.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

OpenNest.Core/Part.cs

@@ -1,6 +1,7 @@
 using OpenNest.CNC;
 using OpenNest.Converters;
 using OpenNest.Geometry;
+using OpenNest.Math;
 using System.Collections.Generic;
 using System.Linq;
 
@@ -173,7 +174,53 @@ namespace OpenNest
             perimeter1.Offset(Location);
             perimeter2.Offset(part.Location);
 
-            return perimeter1.Intersects(perimeter2, out pts);
+            if (!perimeter1.Intersects(perimeter2, out var rawPts))
+                return false;
+
+            // Exclude intersection points that coincide with vertices of BOTH
+            // perimeters — these are touch points (shared corners/endpoints),
+            // not actual crossings where one shape enters the other's interior.
+            var verts1 = CollectVertices(perimeter1);
+            var verts2 = CollectVertices(perimeter2);
+
+            foreach (var pt in rawPts)
+            {
+                if (IsNearAnyVertex(pt, verts1) && IsNearAnyVertex(pt, verts2))
+                    continue;
+                pts.Add(pt);
+            }
+
+            return pts.Count > 0;
+        }
+
+        private static List<Vector> CollectVertices(Geometry.Shape shape)
+        {
+            var verts = new List<Vector>();
+            foreach (var entity in shape.Entities)
+            {
+                switch (entity)
+                {
+                    case Geometry.Line line:
+                        verts.Add(line.StartPoint);
+                        verts.Add(line.EndPoint);
+                        break;
+                    case Geometry.Arc arc:
+                        verts.Add(arc.StartPoint());
+                        verts.Add(arc.EndPoint());
+                        break;
+                }
+            }
+            return verts;
+        }
+
+        private static bool IsNearAnyVertex(Vector pt, List<Vector> vertices)
+        {
+            foreach (var v in vertices)
+            {
+                if (pt.X.IsEqualTo(v.X) && pt.Y.IsEqualTo(v.Y))
+                    return true;
+            }
+            return false;
         }
 
         public double Left

OpenNest.Core/Plate.cs

@@ -601,10 +601,24 @@ namespace OpenNest
             for (var i = 0; i < realParts.Count; i++)
             {
                 var part1 = realParts[i];
+                var b1 = part1.BoundingBox;
 
                 for (var j = i + 1; j < realParts.Count; j++)
                 {
                     var part2 = realParts[j];
+                    var b2 = part2.BoundingBox;
+
+                    // Skip pairs whose bounding boxes don't meaningfully overlap.
+                    // Floating-point rounding can produce sub-epsilon overlaps for
+                    // parts that are merely edge-touching, so require the overlap
+                    // region to exceed Epsilon in both dimensions.
+                    var overlapX = System.Math.Min(b1.Right, b2.Right)
+                                 - System.Math.Max(b1.Left, b2.Left);
+                    var overlapY = System.Math.Min(b1.Top, b2.Top)
+                                 - System.Math.Max(b1.Bottom, b2.Bottom);
+
+                    if (overlapX <= Math.Tolerance.Epsilon || overlapY <= Math.Tolerance.Epsilon)
+                        continue;
 
                     if (part1.Intersects(part2, out var pts2))
                         pts.AddRange(pts2);