Creates a JavaFX ImageView which contains an image displayed in as a rounded rectangle with a drop shadow effect.

batmanlostinthemix.fxml

<?xml version="1.0" encoding="UTF-8"?>

<?import javafx.scene.image.Image?>
<?import javafx.scene.image.ImageView?>
<?import javafx.scene.layout.AnchorPane?>

<AnchorPane id="AnchorPane" maxHeight="-Infinity" maxWidth="-Infinity" minHeight="-Infinity" minWidth="-Infinity" prefHeight="313.0" prefWidth="477.0" style="-fx-background-color: azure;" xmlns:fx="http://javafx.com/fxml/1" xmlns="http://javafx.com/javafx/2.2">
  <children>
    <ImageView fx:id="imageView" layoutX="29.0" layoutY="44.0" fitHeight="224.0" fitWidth="400.0" pickOnBounds="true" preserveRatio="true">
      <image>
        <Image url="http://collider.com/wp-content/uploads/lego-batman-movie-dc-super-heroes-unite-1.jpg" />
      </image>
    </ImageView>
  </children>
</AnchorPane>

ShadowedRoundedImage.java

import javafx.application.Application;
import javafx.fxml.*;
import javafx.scene.*;
import javafx.scene.effect.DropShadow;
import javafx.scene.image.*;
import javafx.scene.layout.Pane;
import javafx.scene.paint.Color;
import javafx.scene.shape.Rectangle;
import javafx.stage.Stage;

import java.io.IOException;

public class ShadowedRoundedImage extends Application {

    class WingClipper {
        @FXML
        private ImageView imageView;

        @FXML
        public void initialize() {
            // set a clip to apply rounded border to the original image.
            Rectangle clip = new Rectangle(
                imageView.getFitWidth(), imageView.getFitHeight()
            );
            clip.setArcWidth(20);
            clip.setArcHeight(20);
            imageView.setClip(clip);

            // snapshot the rounded image.
            SnapshotParameters parameters = new SnapshotParameters();
            parameters.setFill(Color.TRANSPARENT);
            WritableImage image = imageView.snapshot(parameters, null);

            // remove the rounding clip so that our effect can show through.
            imageView.setClip(null);

            // apply a shadow effect.
            imageView.setEffect(new DropShadow(20, Color.BLACK));

            // store the rounded image in the imageView.
            imageView.setImage(image);
        }
    }

    public static void main(String[] args) {
        launch(args);
    }

    @Override
    public void start(Stage stage) throws IOException {
        FXMLLoader loader = new FXMLLoader(
            getClass().getResource(
                "batmanlostinthemix.fxml"
            )
        );
        loader.setController(new WingClipper());

        Pane batman = loader.load();

        stage.setTitle("Where's Batman?");
        stage.setScene(new Scene(batman));
        stage.show();
    }
}

Answer to StackOverflow question: Border-Radius and Shadow on ImageView