diff --git a/src/O3DGlideRenderer.h b/src/O3DGlideRenderer.h
index b4cca56..3afd97d 100644
--- a/src/O3DGlideRenderer.h
+++ b/src/O3DGlideRenderer.h
@@ -28,6 +28,7 @@ OF_ASSUME_NONNULL_BEGIN
 #endif
 	OFSize _clippingWindow;
 	bool _syncsToVerticalBlank;
+	OFMatrix4x4 *_matrix;
 }
 @end
 
diff --git a/src/O3DGlideRenderer.m b/src/O3DGlideRenderer.m
index 80788ac..b834af1 100644
--- a/src/O3DGlideRenderer.m
+++ b/src/O3DGlideRenderer.m
@@ -179,6 +179,18 @@ grGlideShutdownCdecl(void)
 		grDepthBufferMode(GR_DEPTHBUFFER_WBUFFER);
 		grDepthBufferFunction(GR_CMP_LESS);
 		grDepthMask(FXTRUE);
+
+		void *pool = objc_autoreleasePoolPush();
+		_matrix = [[OFMatrix4x4 identityMatrix] retain];
+		/* Move the range from (-1, 1) to (0, 2) */
+		[_matrix translateWithVector: OFMakeVector3D(1, 1, 0)];
+		/*
+		 * Scale with half the resolution (since the range is (0, 2)
+		 * and not (0, 1)).
+		 */
+		[_matrix scaleWithVector: OFMakeVector3D(
+		    grSstScreenWidth() / 2.f, grSstScreenHeight() / 2.f, 1)];
+		objc_autoreleasePoolPop(pool);
 	} @catch (id e) {
 		[self release];
 		@throw e;
@@ -189,6 +201,8 @@ grGlideShutdownCdecl(void)
 
 - (void)dealloc
 {
+	[_matrix release];
+
 	grSstWinClose();
 
 #ifdef OF_WINDOWS
@@ -206,22 +220,16 @@ grGlideShutdownCdecl(void)
 - (void)drawPolygonWithVertices: (const O3DVertex *)vertices
 			  count: (size_t)count
 {
-	/*
-	 * Range is -1 to 1, we add 1, so we get 0 to 2 - so we need to
-	 * multiply with half the width / height.
-	 */
-	float halfWidth = grSstScreenWidth() / 2;
-	float halfHeight = grSstScreenHeight() / 2;
-
 	GrVertex *glideVertices = OFAllocZeroedMemory(count, sizeof(GrVertex));
 	@try {
 		for (size_t i = 0; i < count; i++) {
-			glideVertices[i].x =
-			    (vertices[i].position.x + 1) * halfWidth;
-			glideVertices[i].y =
-			    (vertices[i].position.y + 1) * halfHeight;
+			OFVector4D vec = [_matrix transformedVector:
+			    OFMakeVector4D(vertices[i].position.x,
+			    vertices[i].position.y, vertices[i].position.z, 1)];
+			glideVertices[i].x = vec.x;
+			glideVertices[i].y = vec.y;
 			glideVertices[i].oow = 1.f /
-			    (vertices[i].position.z * GR_WDEPTHVALUE_FARTHEST);
+			    (vec.z * GR_WDEPTHVALUE_FARTHEST);
 			glideVertices[i].r = vertices[i].color.r * 255;
 			glideVertices[i].g = vertices[i].color.g * 255;
 			glideVertices[i].b = vertices[i].color.b * 255;
diff --git a/src/O3DRenderer.h b/src/O3DRenderer.h
index 48ab208..b10d199 100644
--- a/src/O3DRenderer.h
+++ b/src/O3DRenderer.h
@@ -18,9 +18,7 @@
 OF_ASSUME_NONNULL_BEGIN
 
 typedef struct OF_BOXABLE {
-	struct {
-		float x, y, z;
-	} position;
+	OFVector3D position;
 	struct {
 		float r, g, b;
 	} color;