Question about Using BufferedImage to create jpeg image

I was puzzled by a problem about using of class BufferedImage. I want to dynamicly create a jpeg image with bufferedimage, the step is as follows:
1.create a new bufferedImage object:
BufferedImage image = new BufferedImage((int)imageWidth, (int)imageHeight, BufferedImage.TYPE_BYTE_BINARY);
2.get the Graphics object from image:
     Graphics graphics = image.getGraphics();
3.then draw string and any other graphics with graphics
4.create jpeg image:
     try {
     FileOutputStream fos = new FileOutputStream("c://test.jpg");
     BufferedOutputStream bos = new BufferedOutputStream(fos);
     JPEGImageEncoder encoder = JPEGCodec.createJPEGEncoder(bos);
     encoder.encode(image);
     bos.close();
     } catch(Exception e) {
     System.out.println(e);
The problem is that :
if the graphic width and height is large enough(in my computer, the largest number is 4000*4000,of course it can be 6000*2000, but the total number is limited.), step 1 will be error: OutofMemory!
I'm worrying about it all day and night.Even though I try all my best,I still can't find what's wrong with it.
Can you help me--the helpless one?

Right. 4000x4000x3bytes ("true" color) is 64 mbytes. Your jpeg file might be smaller of course, but it's still going to be a behomoth. The best thing to try is increasing your java runtime size... I've never had to do this, but you can probably find it on this site somewhere

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