de Casteljau algoritmus (C#)

2007, december 11 - 22:17 - admin

$\bf P_{i,j}=(1-t)P_{i-1,j}+tP_{i-1,j+1} \cases{i=1,2,...,n \cr j=0,1,...,n-i}$


using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Text;
using System.Windows.Forms;

namespace casteljau {
    public partial class Form1 : Form {

        Bitmap image;
        Graphics g;
        List points = new List();
        Color color = Color.Yellow;

        public Form1() {
            InitializeComponent();

            image = new Bitmap(pictureBox1.Width, pictureBox1.Height);
            g = Graphics.FromImage(image);
            pictureBox1.Image = image;
        }

        #region DRAW METHOD

        private void drawCasteljau(List list) {
            Point tmp;
            for (double t = 0; t <= 1; t += 0.001) { 
                tmp = getCasteljauPoint(points.Count-1, 0, t);
                image.SetPixel(tmp.X, tmp.Y, color);
            }
        }

        private Point getCasteljauPoint(int r, int i, double t) { 
            if(r == 0) return points[i];

            Point p1 = getCasteljauPoint(r - 1, i, t);
            Point p2 = getCasteljauPoint(r - 1, i + 1, t);

            return new Point((int) ((1 - t) * p1.X + t * p2.X), (int) ((1 - t) * p1.Y + t * p2.Y));
        }

        #endregion

        #region EVENT HANDLERS

        private void pictureBox1_MouseClick(object sender, MouseEventArgs e) {
            points.Add(e.Location);
            //g.Clear(pictureBox1.BackColor);
            //g.DrawLines(new Pen(color), points.ToArray());
            //pictureBox1.Refresh();
        }

        private void pictureBox1_MouseDoubleClick(object sender, MouseEventArgs e) {
            points.Add(e.Location);

            //kirajzolas
            drawCasteljau(points);
            pictureBox1.Refresh();

            points.Clear();
        }
        #endregion
    }
}