diff --git a/src/AcDream.Core/Physics/PortalPlane.cs b/src/AcDream.Core/Physics/PortalPlane.cs
index f81611b..acdfd96 100644
--- a/src/AcDream.Core/Physics/PortalPlane.cs
+++ b/src/AcDream.Core/Physics/PortalPlane.cs
@@ -11,11 +11,15 @@ public readonly record struct PortalPlane(
     float D,
     uint TargetCellId,   // OtherCellId — the cell on the far side (0xFFFF = outdoor)
     uint OwnerCellId,    // the EnvCell that owns this portal
-    ushort Flags)        // PortalFlags value
+    ushort Flags,        // PortalFlags value
+    Vector3 Centroid,    // center of the portal polygon in world space
+    float Radius)        // bounding radius of the portal polygon
 {
     /// <summary>
     /// Construct a PortalPlane from three coplanar vertices (winding order
-    /// determines the normal direction via cross product).
+    /// determines the normal direction via cross product). Also computes
+    /// the centroid and bounding radius from the vertices so
+    /// <see cref="IsCrossing"/> can reject crossings far from the portal.
     /// </summary>
     public static PortalPlane FromVertices(
         Vector3 v0, Vector3 v1, Vector3 v2,
@@ -25,21 +29,36 @@ public readonly record struct PortalPlane(
         var edge2 = v2 - v0;
         var normal = Vector3.Normalize(Vector3.Cross(edge1, edge2));
         float d = -Vector3.Dot(normal, v0);
-        return new PortalPlane(normal, d, targetCellId, ownerCellId, flags);
+
+        // Centroid = average of the three vertices.
+        var centroid = (v0 + v1 + v2) / 3f;
+        // Bounding radius = max distance from centroid to any vertex + padding.
+        float r0 = Vector3.Distance(centroid, v0);
+        float r1 = Vector3.Distance(centroid, v1);
+        float r2 = Vector3.Distance(centroid, v2);
+        float radius = MathF.Max(r0, MathF.Max(r1, r2)) + 2f; // 2 unit padding
+
+        return new PortalPlane(normal, d, targetCellId, ownerCellId, flags, centroid, radius);
     }
 
     /// <summary>
     /// Returns true when the movement from <paramref name="oldPos"/> to
-    /// <paramref name="newPos"/> crosses this plane (the two positions are on
-    /// strictly opposite sides).  A position exactly on the plane (distance = 0)
-    /// does NOT count as a crossing.
+    /// <paramref name="newPos"/> crosses this plane AND both positions are
+    /// within the portal's bounding radius of its centroid. Without the
+    /// radius check, infinite planes cause false transitions when walking
+    /// far from a doorway but on the same plane extension.
     /// </summary>
     public bool IsCrossing(Vector3 oldPos, Vector3 newPos)
     {
+        // Quick reject: if both positions are far from the portal, skip
+        // the plane test entirely. Use the closer of the two positions.
+        float distOld = Vector3.Distance(oldPos, Centroid);
+        float distNew = Vector3.Distance(newPos, Centroid);
+        float minDist = MathF.Min(distOld, distNew);
+        if (minDist > Radius * 2f) return false;
+
         float oldDist = Vector3.Dot(Normal, oldPos) + D;
         float newDist = Vector3.Dot(Normal, newPos) + D;
-        // Strictly negative product → opposite signs → crossed the plane.
-        // If either distance is exactly 0 the product is 0, not negative → no crossing.
         return oldDist * newDist < 0f;
     }
 }