Define CurveLocation#intersection as a way to retrieve the CurveLocation on the intersecting path when using Path#getIntersections().

src/item/Shape.js

@@ -84,7 +84,7 @@ var Shape = this.Shape = Item.extend(/** @lends Shape# */{
 	_hitTest: function(point, options) {
 		if (this.hasFill() && this.contains(point))
 			return new HitResult('fill', this);
-		// TODO: Implement stokre!
+		// TODO: Implement stroke!
 	},
 
 	statics: {

src/path/Curve.js

@@ -288,7 +288,7 @@ var Curve = this.Curve = Base.extend(/** @lends Curve# */{
 
 	getIntersections: function(curve) {
 		return Curve.getIntersections(this.getValues(), curve.getValues(),
-				this, []);
+				this, curve, []);
 	},
 
 	getCrossings: function(point, roots) {
@@ -716,7 +716,7 @@ statics: {
 	// We need to provide the original left curve reference to the
 	// #getIntersections() calls as it is required to create the resulting
 	// CurveLocation objects.
-	getIntersections: function(v1, v2, curve, locations) {
+	getIntersections: function(v1, v2, curve1, curve2, locations) {
 		var bounds1 = this.getBounds(v1),
 			bounds2 = this.getBounds(v2);
 /*#*/ if (options.debug) {
@@ -764,7 +764,8 @@ statics: {
 						// Passing null for parameter leads to lazy determination
 						// of parameter values in CurveLocation#getParameter()
 						// only once they are requested.
-						locations.push(new CurveLocation(curve, null, point));
+						locations.push(new CurveLocation(curve1, null, point,
+								curve2));
 				}
 			} else {
 				// Subdivide both curves, and see if they intersect.
@@ -772,7 +773,7 @@ statics: {
 					v2s = this.subdivide(v2);
 				for (var i = 0; i < 2; i++)
 					for (var j = 0; j < 2; j++)
-						this.getIntersections(v1s[i], v2s[j], curve, locations);
+						this.getIntersections(v1s[i], v2s[j], curve1, locations);
 			}
 		}
 		return locations;
@@ -1233,7 +1234,8 @@ new function() { // Scope for methods that require numerical integration
 					minPoint = pt;
 				}
 			}
-			return new CurveLocation(this, minT, minPoint, Math.sqrt(minDist));
+			return new CurveLocation(this, minT, minPoint, null,
+					Math.sqrt(minDist));
 		},
 
 		getNearestPoint: function(point) {

src/path/CurveLocation.js

@@ -36,7 +36,7 @@ var CurveLocation = this.CurveLocation = Base.extend(/** @lends CurveLocation# *
 	 * @param {Number} parameter
 	 * @param {Point} point
 	 */
-	initialize: function(curve, parameter, point, distance) {
+	initialize: function(curve, parameter, point, _otherCurve, _distance) {
 		// Define this CurveLocation's unique id.
 		this._id = CurveLocation._id = (CurveLocation._id || 0) + 1;
 		this._curve = curve;
@@ -47,7 +47,8 @@ var CurveLocation = this.CurveLocation = Base.extend(/** @lends CurveLocation# *
 		this._segment2 = curve._segment2;
 		this._parameter = parameter;
 		this._point = point;
-		this._distance = distance;
+		this._otherCurve = _otherCurve;
+		this._distance = _distance;
 	},
 
 	/**
@@ -60,9 +61,9 @@ var CurveLocation = this.CurveLocation = Base.extend(/** @lends CurveLocation# *
 		if (!this._segment) {
 			var curve = this.getCurve(),
 				parameter = this.getParameter();
-			if (parameter == 0) {
+			if (parameter === 0) {
 				this._segment = curve._segment1;
-			} else if (parameter == 1) {
+			} else if (parameter === 1) {
 				this._segment = curve._segment2;
 			} else if (parameter == null) {
 				return null;
@@ -97,6 +98,26 @@ var CurveLocation = this.CurveLocation = Base.extend(/** @lends CurveLocation# *
 		return this._curve;
 	},
 
+	/**
+	 * The curve location on the intersecting curve, if this location is the
+	 * result of a call to {@link PathItem#getIntersections(path)} /
+	 * {@link Curve#getIntersections(curve)}.
+	 *
+	 * @type CurveLocation
+	 * @bean
+	 */
+	getIntersection: function() {
+		var intersection = this._intersection;
+		if (!intersection && this._otherCurve) {
+			// _point is always defined for intersection
+			intersection = this._intersection = new CurveLocation(
+					this._otherCurve, null, this._point, this);
+			// Link both ways
+			intersection._intersection = this;
+		}
+		return intersection;
+	},
+
 	/**
 	 * The path this curve belongs to, if any.
 	 *

src/path/PathItem.js

@@ -69,10 +69,11 @@ var PathItem = this.PathItem = Item.extend(/** @lends PathItem# */{
 		for (var i = 0; i < length2; i++)
 			values2[i] = curves2[i].getValues();
 		for (var i = 0, l = curves1.length; i < l; i++) {
-			var curve = curves1[i],
-				values1 = curve.getValues();
+			var curve1 = curves1[i],
+				values1 = curve1.getValues();
 			for (var j = 0; j < length2; j++)
-				Curve.getIntersections(values1, values2[j], curve, locations);
+				Curve.getIntersections(values1, values2[j], curve1, curves2[j],
+						locations);
 		}
 		return locations;
 	},