How to improve invert + grayscale operator in Java?

I want to invert and gray scale an image. Here is my original image:

Here is the final result I want to achieve (produced with Paint.NET):

However using some (basic?) Java code found on Internet, I only get the picture below:

Here is the code I used:

private static final byte[] invertTable;

static {
    invertTable = new byte[256];
    for (int i = 0; i < 256; i++) {
        invertTable[i] = (byte) (255 - i);
    }
}

private static BufferedImage grayScale(BufferedImage source) {
    ColorConvertOp grayScale = new ColorConvertOp(ColorSpace.getInstance(ColorSpace.CS_GRAY), null);

    return grayScale.filter(source,null);
}

private static BufferedImage invertImage(final BufferedImage src) {
    final int w = src.getWidth();

    final int h = src.getHeight();

    final BufferedImage dst = new BufferedImage(w, h, BufferedImage.TYPE_INT_RGB);

    final BufferedImageOp invertOp = new LookupOp(new ByteLookupTable(0, invertTable), null);

    return invertOp.filter(src, dst);
}

// ...
BufferedImage sourceImage = ...
BufferedImage convertedImage = grayScale(invertImage(sourceImage));

How can I improve the above code?

Using Imgproc and Core, I did

Mat src = new Mat();
Mat gray = new Mat();
src = Highgui.imread("...");
Imgproc.cvtColor(src, gray, Imgproc.COLOR_BGR2GRAY);
Core.bitwise_not(gray, gray);
Highgui.imwrite("...", gray);

and got something closer, though not identical: