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Draw any number of curves using Hermite Curve equations based on mouse clicks
java code
package CurveIT;

import java.awt.Color;
import java.awt.Graphics;
import java.awt.event.MouseEvent;
import java.util.ArrayList;
import java.util.List;
import javax.swing.JFrame;
import javax.swing.event.MouseInputListener;

public class WindowCurve extends JFrame implements MouseInputListener {

private Point p1 = new Point();
private Point p2 = new Point();
private List list = new ArrayList();
private Curve curveCurrentObj;
private int clicks = 0;

public WindowCurve() {

setTitle("Drawing ");
addMouseListener(this);
setLocation(100, 100);
setSize(500, 500);
setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
setVisible(true);
}

@Override
public void paint(Graphics g) {
super.paint(g);
g.setColor(Color.white);
g.fillRect(0, 0, 600, 600);
g.setColor(Color.red);
Curve curveObj;
for (int i = 0; i < list.size(); i++) {
curveObj = (Curve) (list.get(i));
curveObj.StartHermiteCurve(g);
}
}

public static void main(String[] args) {
new WindowCurve();
}

@Override
public void mouseClicked(MouseEvent e) {
}

@Override
public void mousePressed(MouseEvent e) {
int x = e.getX();
int y = e.getY();

if (clicks == 0) {
curveCurrentObj = new Curve();
curveCurrentObj.setP1(new Point(x, y));

clicks++;
}
else if (clicks == 1) {
curveCurrentObj.setP2(new Point(x, y));

clicks++;
}
else if (clicks == 2) {
curveCurrentObj.setP3(new Point(x, y));
clicks++;
}
else {
curveCurrentObj.setP4(new Point(x, y));
list.add(curveCurrentObj);
clicks = 0;
}
repaint();
}

@Override
public void mouseReleased(MouseEvent e) {
}

@Override
public void mouseEntered(MouseEvent e) {
}

@Override
public void mouseExited(MouseEvent e) {
}

@Override
public void mouseDragged(MouseEvent e) {
}

@Override
public void mouseMoved(MouseEvent e) {
}
}

class Point {

private int x;
private int y;

public Point() {
}

public Point(int x, int y) {
this.x = x;
this.y = y;
}

public int getX() {
return x;
}

public int getY() {
return y;
}

public void setX(int x) {
this.x = x;
}

public void setY(int y) {
this.y = y;
}
}





class Curve {

private Point p1;
private Point p2;
private Point p3;
private Point p4;
private List points;
private double H[] = {2, 1, -2, 1, -3, -2, 3, -1, 0, 1, 0, 0, 1, 0, 0, 0};

public Curve() {
}

public Curve(Point p1, Point p2,Point p3, Point p4) {
this.p1 = p1;
this.p2 = p2;
this.p3 = p3;
this.p4 = p4;

}

public Curve(List points) {
this.points = points;
}

public Point getP1() {
return p1;
}

public Point getP2() {
return p2;
}

public void setP1(Point p1) {
this.p1 = p1;
}

public void setP2(Point p2) {
this.p2 = p2;
}

public Point getP3() {
return p3;
}

public Point getP4() {
return p4;
}

public void setP3(Point p3) {
this.p3 = p3;
}

public void setP4(Point p4) {
this.p4 = p4;
}

public void StartHermiteCurve(Graphics g)
{
DrawHermiteCurve(g,p1,p2,p3,p4,140);
}
Vector4 GetHermiteCoeff(double x0, double s0, double x1, double s1) {

Matrix4 basis = new Matrix4(H);
Vector4 v = new Vector4(x0, s0, x1, s1);
return basis.multiply(v);
}

void DrawHermiteCurve(Graphics g, Point P0, Point T0, Point P1, Point T1, int numpoints) {
Vector4 xcoeff = GetHermiteCoeff(P0.getX(), T0.getX(), P1.getX(), T1.getX());
Vector4 ycoeff = GetHermiteCoeff(P0.getY(), T0.getY(), P1.getY(), T1.getY());
System.out.println("Xcoeff"+xcoeff.getValue(0)+", "+xcoeff.getValue(1)+", "+xcoeff.getValue(2)+", "+xcoeff.getValue(3));
System.out.println("Ycoeff"+ycoeff.getValue(0)+", "+ycoeff.getValue(1)+", "+ycoeff.getValue(2)+", "+ycoeff.getValue(3)+", ");

if (numpoints < 2) {
return;
}
double dt = 1.0 / (numpoints - 1);

for (double t = 0; t <= 1; t += dt) {
Vector4 vt = new Vector4();
vt.setValue(3, 1);
for (int i = 2; i >= 0; i--) {
vt.setValue(i, vt.getValue(i + 1) * t);
}
int x = (int) Math.round(xcoeff.DotProduct(vt));
int y = (int) Math.round(ycoeff.DotProduct(vt));
g.drawOval(x, y, 1, 1);
}
}

void DrawHermiteCurve2(Graphics g, Point P0, Point T0, Point P1, Point T1, int numpoints) {
Vector4 xcoeff = GetHermiteCoeff(P0.getX(), T0.getX(), P1.getX(), T1.getX());
Vector4 ycoeff = GetHermiteCoeff(P0.getY(), T0.getY(), P1.getY(), T1.getY());
if (numpoints < 2) {
return;
}
double dt = 1.0 / (numpoints - 1);
for (double t = 0; t <= 1; t += dt) {
Vector4 vt = new Vector4();
vt.setValue(3, 1);
for (int i = 2; i >= 0; i--) {

vt.setValue(i, vt.getValue(i + 1) * t);
}
int x = (int) Math.round(xcoeff.DotProduct(vt));
int y = (int) Math.round(ycoeff.DotProduct(vt));
if (t == 0) {
// MoveToEx(g, x, y, NULL);
g.drawOval(x, y, 1, 1);
} else {
//LineTo(g, x, y);
g.drawOval(x, y, 1, 1);
}


}
}


class Vector4 {

public double v[] = new double[4];

public Vector4() {
}

public Vector4(double a, double b, double c, double d) {
v[0] = a;
v[1] = b;
v[2] = c;
v[3] = d;
}

public double[] getV() {
return v;
}

public double getValue(int index) {
return v[index];
}

public void setValue(int index, double value) {
v[index] = value;
}

public double DotProduct(Vector4 b) {
return v[0] * b.v[0] + v[1] * b.v[1] + v[2] * b.v[2] + v[3] * b.v[3];
}
}

class Matrix4 {

public Vector4 M[] = new Vector4[4];

public Matrix4(double A[]) {
int count = 0;
for (int i = 0; i < 4; i++) {
M[i]=new Vector4();
for (int j = 0; j < 4; j++) {
System.out.println(A[count]);
System.out.println( M[i].getValue(0));
M[i].setValue(j, A[count]);
count++;
}
}
}

public Vector4[] getM() {
return M;
}

Vector4 multiply(Vector4 b) {
Vector4 res = new Vector4();
double count = 0.0d;
for (int i = 0; i < 4; i++) {

for (int j = 0; j < 4; j++) {

count += M[i].getValue(j) * b.getValue(j);
}
res.setValue(i, count);
count = 0;
}

return res;
}
}





Attachments:
CurveOne.gif
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Author:
Mastermind
User avatar Posts: 2707
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