diff --git a/packages/sprotty/src/features/edge-intersection/intersection-finder.ts b/packages/sprotty/src/features/edge-intersection/intersection-finder.ts
index c1e0a307..ece77f5a 100644
--- a/packages/sprotty/src/features/edge-intersection/intersection-finder.ts
+++ b/packages/sprotty/src/features/edge-intersection/intersection-finder.ts
@@ -89,10 +89,24 @@ export class IntersectionFinder implements IEdgeRoutePostprocessor {
      */
     find(routing: EdgeRouting): Intersection[] {
         const eventQueue = new TinyQueue<SweepEvent>(undefined, checkWhichEventIsLeft);
-        routing.routes.forEach((route, routeId) => addRoute(routeId, route, eventQueue));
+        routing.routes.forEach((route, routeId) => {
+            if (this.isSupportedRoute(route)) {
+                addRoute(routeId, route, eventQueue);
+            }
+        });
         return runSweep(eventQueue);
     }
 
+    /**
+     * Specifies whether or not a specific route should be included in this intersection search or not.
+     *
+     * As this intersection finder only supports linear line segments, this method only returns `true`
+     * for routes that only contain routed points, which are either 'source', 'target' or 'linear'.
+     */
+    protected isSupportedRoute(route: RoutedPoint[]): boolean {
+        return route.find(point => point.kind !== 'source' && point.kind !== 'target' && point.kind !== 'linear') === undefined;
+    }
+
     protected addToRouting(intersections: Intersection[], routing: EdgeRouting) {
         for (const intersection of intersections) {
             const routable1 = routing.get(intersection.routable1);
diff --git a/packages/sprotty/src/graph/views.tsx b/packages/sprotty/src/graph/views.tsx
index 28157a7e..fb985565 100644
--- a/packages/sprotty/src/graph/views.tsx
+++ b/packages/sprotty/src/graph/views.tsx
@@ -274,8 +274,12 @@ export class PolylineEdgeViewWithGapsOnIntersections extends JumpingPolylineEdge
     protected skipOffsetBefore = 3;
     protected skipOffsetAfter = 3;
 
-    protected createJumpPath(intersectionPoint: Point, lineSegment: PointToPointLine): string {
-        return "";
+    protected shouldDrawLineJumpOnIntersection(currentLineSegment: PointToPointLine, otherLineSegment: PointToPointLine) {
+        return false;
+    }
+
+    protected shouldDrawLineGapOnIntersection(currentLineSegment: PointToPointLine, otherLineSegment: PointToPointLine) {
+        return Math.abs(currentLineSegment.slopeOrMax) >= Math.abs(otherLineSegment.slopeOrMax);
     }
 
     protected createGapPath(intersectionPoint: Point, lineSegment: PointToPointLine): string {