Java のスレッドによってスローされた例外をキャッチするにはどうすればよいですか?

// Original Code
public class CatchThreadException {

    public static void main(String[] args) throws InterruptedException {
        Thread t = new Thread() {
            @Override
            public void run() {
                throw new RuntimeException("Exception from thread");
            }
        };

        try {
            t.start();
            t.join();
        } catch (RuntimeException e) {
            System.out.println("** RuntimeException from main");
        }

        System.out.println("Main stopped");
    }
}

// Using Uncaught Exception Handler
public class CatchThreadException {

    public static void main(String[] args) throws InterruptedException {
        Thread.UncaughtExceptionHandler h = new Thread.UncaughtExceptionHandler() {
            @Override
            public void uncaughtException(Thread th, Throwable ex) {
                System.out.println("Uncaught exception: " + ex);
            }
        };
        Thread t = new Thread() {
            @Override
            public void run() {
                throw new RuntimeException("Exception from thread");
            }
        };
        t.setUncaughtExceptionHandler(h);
        t.start();
        t.join();
        System.out.println("Main stopped");
    }
}