调整图像大小以适合父节点

如何让 ImageView 中的图像自动调整大小以使其始终适合父节点？

这是一个小代码示例：

@Override
public void start(Stage stage) throws Exception {
    BorderPane pane = new BorderPane();
    ImageView img = new ImageView("http://...");

    //didn't work for me:
    //img.fitWidthProperty().bind(new SimpleDoubleProperty(stage.getWidth())); 

    pane.setCenter(img);

    Scene scene = new Scene(pane);
    stage.setScene(scene);
    stage.show();
}

@Override
public void start(Stage stage) throws Exception {
    BorderPane pane = new BorderPane();
    ImageView img = new ImageView("http://...");

    img.fitWidthProperty().bind(stage.widthProperty()); 

    pane.setCenter(img);

    Scene scene = new Scene(pane);
    stage.setScene(scene);
    stage.show();
}