How to bind BorderPane's center node's dimensions to an ImageView

Question

I have a JavaFX BorderPane in which I add an ImageView as the center node of the BorderPane. The ImageView becomes very big, and overlapsed other nodes.

I want to set the dimensions of the ImageView programmatically for the case that the user resizes the window, so I thought I can use Bindings.

public class MainController implements FxController {
    private ImageView videoImageView;

    @FXML
    BorderPane borderPane;

    @Override
    public void initialize(URL url, ResourceBundle resourceBundle) {
        this.videoImageView = new ImageView();
        this.videoImageView.setPreserveRatio(true);

        videoImageView.fitWidthProperty().bind(borderPane.widthProperty());
        videoImageView.fitHeightProperty().bind(borderPane.heightProperty());

        borderPane.setCenter(videoImageView);
    }

}

The problem is that the used properties deliver the full width and height of the whole BorderPane. How can I assign the whole available space of the center node to the ImageView and how can the ImageView be responsive using Bindings?