Adapt Java desktop application to any screen

Good morning,

I am developing a very simple desktop app to test touch screens.

The thing is that I want an app with 4 buttons that adapt to all screens and that comes out maximized when executed.

Something like that

The rectangles are the 4 buttons and the circle would be an image

Is there a way to lock the logo and that the buttons expand or shrink depending on the screen size?

package javaapplication5;


import java.awt.BorderLayout;
import java.awt.Dimension;
import java.awt.FlowLayout;
import javax.swing.JButton;
import javax.swing.JFrame;
import javax.swing.JPanel;

public class JavaApplication5 {


    public static void main(String[] args) {


        JFrame v=new JFrame();
        v.setExtendedState(JFrame.MAXIMIZED_BOTH);
        JPanel panel=new JPanel();


        JButton btn1=new JButton("Boton 1");
        JButton btn2=new JButton("Boton 2");
        JButton btn3=new JButton("Boton 3");
        JButton btn4=new JButton("Boton 4");
        panel.add(btn1);
        panel.add(btn2);
        panel.add(btn3);
        panel.add(btn4); 




        v.add(panel);

        v.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);






        v.setVisible(true);


         int altoPanel=v.getBounds().getSize().height/2;
         int anchoPanel=v.getBounds().getSize().width;

         int alto=v.getBounds().getSize().height/2;
         int ancho=v.getBounds().getSize().width/2;


            //panel.setPreferredSize(new Dimension(anchoPanel,altoPanel ));

            //tamaño a los botones=1/4 de pantalla

        btn1.setPreferredSize(new Dimension(ancho, alto));
        btn2.setPreferredSize(new Dimension(ancho, alto));
        btn3.setPreferredSize(new Dimension(ancho, alto));
        btn4.setPreferredSize(new Dimension(ancho, alto));
    }

}