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swing - How can I put axis on a .png file in java?

I have chart.png with data in it that I would like to put a simple X - Y axis on with some labeling. I also would like to try not to use any external software that doesn't come with java. I'm allowed to use jfreechart but if there is a way to make it look nice, while just using some plan java code, that would be better. Does anyone have a good idea about how to do this sort of thing?

Update: Something like this but the data would be color coded with rgb values and of course there would be no axis / labeling.

pyplot latency example
(source: goldb.org)

This graph is just an example it looks nothing like what my actual graphs look like... My real graphs can have every rgb color value in them. I know how to create the plot, I just don't know how to put axis / labeling on the BufferImage that I've created

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I don't think modifying a static image will work very well, as it will inevitably lead to registration errors and mismatched styles. Instead, integrate any rendering into the chart's creation. Using the approach outlined here, the sscce below illustrates a few of the ways to customize the rendered shapes, colors and axes as desired.

Addendum: To color individual items, the API recommends the approach shown here, in which a custom renderer overrides getItemPaint(). Color.getHSBColor() is used to create a full spectrum of colors.

Response Time chart

Here is the original, default renderer for comparison:

Response Time chart

import java.awt.Color;
import java.awt.EventQueue;
import java.awt.Paint;
import java.awt.Shape;
import java.awt.geom.Ellipse2D;
import java.util.ArrayList;
import java.util.List;
import java.util.Random;
import javax.swing.JFrame;
import org.jfree.chart.ChartFactory;
import org.jfree.chart.ChartPanel;
import org.jfree.chart.JFreeChart;
import org.jfree.chart.axis.ValueAxis;
import org.jfree.chart.plot.PlotOrientation;
import org.jfree.chart.plot.XYPlot;
import org.jfree.chart.renderer.xy.XYLineAndShapeRenderer;
import org.jfree.data.xy.XYDataset;
import org.jfree.data.xy.XYSeries;
import org.jfree.data.xy.XYSeriesCollection;

/** @see https://stackoverflow.com/q/9843451/230513 */
public class ResponseTime {

    private static final int N = 600;
    private static final String title = "ResponseTime";
    private static final Random random = new Random();
    private static final Shape circle = new Ellipse2D.Double(-3, -3, 6, 6);
    private static final Color line = Color.gray;

    private ChartPanel createPanel() {
        JFreeChart chart = ChartFactory.createXYLineChart(
            title, "Elapsed Time (secs)", "Response Time (secs)",
            createDataset(), PlotOrientation.VERTICAL, true, true, false);
        XYPlot plot = chart.getXYPlot();
        MyRenderer renderer = new MyRenderer(true, true, N);
        plot.setRenderer(renderer);
        renderer.setSeriesShape(0, circle);
        renderer.setSeriesPaint(0, line);
        renderer.setUseFillPaint(true);
        renderer.setSeriesShapesFilled(0, true);
        renderer.setSeriesShapesVisible(0, true);
        renderer.setUseOutlinePaint(true);
        renderer.setSeriesOutlinePaint(0, line);
        ValueAxis range = plot.getRangeAxis();
        range.setLowerBound(0.5);
        return new ChartPanel(chart);
    }

    private static class MyRenderer extends XYLineAndShapeRenderer {

        private List<Color> clut;

        public MyRenderer(boolean lines, boolean shapes, int n) {
            super(lines, shapes);
            clut = new ArrayList<Color>(n);
            for (int i = 0; i < n; i++) {
                clut.add(Color.getHSBColor((float) i / n, 1, 1));
            }
        }

        @Override
        public Paint getItemFillPaint(int row, int column) {
            return clut.get(column);
        }
    }

    private XYDataset createDataset() {
        XYSeriesCollection result = new XYSeriesCollection();
        XYSeries series = new XYSeries("Series 1");
        for (double x = 0; x < N - 1; x++) {
            series.add(x, f(x));
        }
        series.add(25, 1.75); // outlier
        result.addSeries(series);
        return result;
    }

    private double f(double x) {
        double y = 0.004 * x + .75;
        return y + random.nextGaussian() * y / 10;
    }

    private void display() {
        JFrame f = new JFrame(title);
        f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        f.add(createPanel());
        f.pack();
        f.setLocationRelativeTo(null);
        f.setVisible(true);
    }

    public static void main(String[] args) {
        EventQueue.invokeLater(new Runnable() {

            @Override
            public void run() {
                new ResponseTime().display();
            }
        });
    }
}

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