Coloring a Triangle with 3 colors

MrJab :

Left what i archived, Right what i want to archive:

Please help me how to color the triangle in the right side. I have it as a problem for Computer Graphics, Use Java programming language

Hello this is the code: I am trying to get the triangle in the right, but is hard to mix colors to get it. Please if you are to solve it(approximate it) as much as you can send it to me, i have it as a homework and 5-6 days deadline

import java.awt.*;
import java.awt.event.*;
import javax.swing.*;
import javax.swing.event.*;
import java.awt.geom.*;
public class NotFullVersion2 extends JApplet {

public static void main(String s[]) {

  JFrame frame = new JFrame();
  frame.setTitle("Colors");
  frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
  JApplet applet = new NotFullVersion2();
  applet.init();
  applet.addMouseListener(
     new MouseAdapter(){  
        public void mousePressed(MouseEvent e) { 
           System.out.println(e.getX() + " " + e.getY());
        }});

  frame.getContentPane().add(applet);
  frame.pack();
  frame.setVisible(true);
}

ColorPanel panel;

public void init() {

  panel = new ColorPanel();
  Container cp = getContentPane();
  cp.setLayout(new BorderLayout());
  cp.add(panel, BorderLayout.CENTER);
  JPanel p = new JPanel();
  cp.add(p,BorderLayout.EAST);  
}


}

class ColorPanel extends JPanel  {

//int red = 100,green = 100, blue = 100;

public ColorPanel() {

  setPreferredSize(new Dimension(500, 500));
  setBackground(Color.black);
}

public void paintComponent(Graphics g) {

  super.paintComponent(g);
  Graphics2D g2 = (Graphics2D)g;


  for(int i = 0; i < 256; i++) {

     int start = 399; 

     g2.setColor(new Color(0,i,255-i));   

     for(int j = 0; j < 200; j ++) {

        Rectangle rec = new Rectangle(150+j,start - i,1,1);
        g2.fill(rec);

     }

  }


  for(int j = 0; j < 100; j++) {

     int start = 100;

     for(int i = 0; i < 300; i++) {

        if(i < 22) {

           g2.setColor(new Color(255,0,0));
           Rectangle rec = new Rectangle(100 + i,start + j,1,1);
           g2.fill(rec);

        } else if(i > 21 && i < 278) {

           g2.setColor(new Color(255-(i-22),(i-22),0));
           Rectangle rec = new Rectangle(100 + i,start + j,1,1);
           g2.fill(rec);

        } else if(i < 300) {

           g2.setColor(new Color(0,255,0));
           Rectangle rec = new Rectangle(100 + i,start + j,1,1);
           g2.fill(rec);

        }
     }

  }

  GeneralPath closePath1a = new GeneralPath();

  g2.setColor(new Color(0,0,0));

  closePath1a.moveTo(100,100);
  closePath1a.lineTo(100,400);
  closePath1a.lineTo(250,400);
  closePath1a.closePath();

  g2.fill(closePath1a);


  GeneralPath closePath2a = new GeneralPath();

  g2.setColor(new Color(0,0,0));

  closePath2a.moveTo(400,100);
  closePath2a.lineTo(400,400);
  closePath2a.lineTo(250,400);
  closePath2a.closePath();

  g2.fill(closePath2a);


  GeneralPath closePath3a = new GeneralPath();

  g2.setColor(new Color(0,0,0));

  closePath3a.moveTo(100,100);
  closePath3a.lineTo(100,50);
  closePath3a.lineTo(400,50);
  closePath3a.lineTo(400,100);
  closePath3a.closePath();

  g2.fill(closePath3a);



 }  


 }

ybungalobill :

Coloring a triangle like this is equivalent to calculating the barycentric coordinates of each pixel within the triangle. The following untested code calculates the barycentric coordinates for each pixel within the triangle ABC, and then uses it to color that pixel:

private float area(float Ax, float Ay, float Bx, float By, float Cx, float Cy) {
    return  0.5*((Ax - Cx)*(By - Ay) - (Ax - Bx)*(Cy - Ay));
}

private void paintTriangle(Graphics g, float Ax, float Ay, float Bx, float By, float Cx, float Cy) {
    // calculate the bounding box of the triangle:
    int minX = Math.round(Math.min(Ax, Math.min(Bx, Cx)));
    int minY = Math.round(Math.min(Ay, Math.min(By, Cy)));
    int maxX = Math.round(Math.max(Ax, Math.max(Bx, Cx)));
    int maxY = Math.round(Math.max(Ay, Math.max(By, Cy)));

    // loop for each pixel in the bounding box of the triangle
    for(int y = minY; y < maxY; ++y) {
        for(int x = minX; x < maxX; ++x) {
            // center of the pixel (x,y)
            float Px = x + 0.5, Py = y + 0.5;

            // barycentric coordinates of P
            float denom = area(Ax, Ay, Bx, By, Cx, Cy);
            float b0 = area(Px, Py, Bx, By, Cx, Cy)/denom;
            float b1 = area(Ax, Ay, Px, Py, Cx, Cy)/denom;
            float b2 = area(Ax, Ay, Bx, By, Px, Py)/denom;

            // discard pixels outside the triangle
            if(b0 < 0 || b1 < 0 || b2 < 0)
                continue;

            // paint a pixel of color (b0,b1,b2) at (x,y)
            g.setColor(new Color(b0,b1,b2));
            g.fillRect(x,y,1,1));
        }
    }
}

I'll leave it to you to test and integrate this code.

You can read more about barycentric coordinates on wikipedia;