Java – texture deformation, 4 points
•
Java
I'm writing a simple 3D game in Java. I need code / library for texture deformation I don't want to use OpenGL
Example:
I have textures:
I need to transform it into:
I hope everyone can understand me thank you!
Solution
OK, let's go Implemented as a small, self-contained example, you can drag the corner with the mouse:
1 to
>Tucuxi who is already in @ l_ 419_ 1 @ released basic methods > MVG in math stackexchange. Com describes how to compute a projective transformation from 4 points
This is the code:
import java.awt.Color;
import java.awt.Graphics;
import java.awt.GridLayout;
import java.awt.Point;
import java.awt.event.MouseEvent;
import java.awt.event.MouseListener;
import java.awt.event.MouseMotionListener;
import java.awt.geom.Point2D;
import java.awt.image.BufferedImage;
import java.io.File;
import java.io.IOException;
import javax.imageio.ImageIO;
import javax.swing.ImageIcon;
import javax.swing.JFrame;
import javax.swing.JLabel;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
public class Pseudo3DTest
{
public static void main(String[] args)
{
SwingUtilities.invokelater(new Runnable()
{
@Override
public void run()
{
createAndShowGUI();
}
});
}
private static void createAndShowGUI()
{
JFrame f = new JFrame();
f.setDefaultCloSEOperation(JFrame.EXIT_ON_CLOSE);
BufferedImage image = null;
try
{
image = ImageIO.read(new File("lena512color.png"));
}
catch (IOException e)
{
e.printStackTrace();
return;
}
f.getContentPane().setLayout(new GridLayout(1,2));
f.getContentPane().add(new JLabel(new ImageIcon(image)));
f.getContentPane().add(new Pseudo3DImagePanel(image));
f.pack();
f.setLocationRelativeTo(null);
f.setVisible(true);
}
}
class Pseudo3DImagePanel extends JPanel
implements MouseListener,MouseMotionListener
{
private final BufferedImage inputImage;
private final Point2D p0;
private final Point2D p1;
private final Point2D p2;
private final Point2D p3;
private Point2D draggedPoint;
Pseudo3DImagePanel(BufferedImage inputImage)
{
this.inputImage = inputImage;
this.p0 = new Point2D.Double(30,20);
this.p1 = new Point2D.Double(50,400);
this.p2 = new Point2D.Double(450,300);
this.p3 = new Point2D.Double(430,100);
addMouseListener(this);
addMouseMotionListener(this);
}
@Override
protected void paintComponent(Graphics g)
{
super.paintComponent(g);
BufferedImage image = Pseudo3D.computeImage(inputImage,p0,p1,p2,p3);
g.drawImage(image,null);
int r = 8;
g.setColor(Color.RED);
g.fillOval((int)p0.getX()-r,(int)p0.getY()-r,r+r,r+r);
g.fillOval((int)p1.getX()-r,(int)p1.getY()-r,r+r);
g.fillOval((int)p2.getX()-r,(int)p2.getY()-r,r+r);
g.fillOval((int)p3.getX()-r,(int)p3.getY()-r,r+r);
}
@Override
public void mousePressed(MouseEvent e)
{
Point p = e.getPoint();
int r = 8;
if (p.distance(p0) < r) draggedPoint = p0;
if (p.distance(p1) < r) draggedPoint = p1;
if (p.distance(p2) < r) draggedPoint = p2;
if (p.distance(p3) < r) draggedPoint = p3;
}
@Override
public void mouseDragged(MouseEvent e)
{
if (draggedPoint != null)
{
draggedPoint.setLocation(e.getX(),e.getY());
repaint();
}
}
@Override
public void mouseReleased(MouseEvent e)
{
draggedPoint = null;
}
@Override
public void mouseMoved(MouseEvent e) {}
@Override
public void mouseClicked(MouseEvent e) {}
@Override
public void mouseEntered(MouseEvent e) {}
@Override
public void mouseExited(MouseEvent e) {}
}
class Pseudo3D
{
static BufferedImage computeImage(
BufferedImage image,Point2D p0,Point2D p1,Point2D p2,Point2D p3)
{
int w = image.getWidth();
int h = image.getHeight();
BufferedImage result =
new BufferedImage(w,h,BufferedImage.TYPE_INT_ARGB);
Point2D ip0 = new Point2D.Double(0,0);
Point2D ip1 = new Point2D.Double(0,h);
Point2D ip2 = new Point2D.Double(w,h);
Point2D ip3 = new Point2D.Double(w,0);
Matrix3D m = computeProjectionMatrix(
new Point2D[] { p0,p3 },new Point2D[] { ip0,ip1,ip2,ip3 });
Matrix3D mInv = new Matrix3D(m);
mInv.invert();
for (int y = 0; y < h; y++)
{
for (int x = 0; x < w; x++)
{
Point2D p = new Point2D.Double(x,y);
mInv.transform(p);
int ix = (int)p.getX();
int iy = (int)p.getY();
if (ix >= 0 && ix < w && iy >= 0 && iy < h)
{
int rgb = image.getRGB(ix,iy);
result.setRGB(x,y,rgb);
}
}
}
return result;
}
// From https://math.stackexchange.com/questions/296794
private static Matrix3D computeProjectionMatrix(Point2D p0[],Point2D p1[])
{
Matrix3D m0 = computeProjectionMatrix(p0);
Matrix3D m1 = computeProjectionMatrix(p1);
m1.invert();
m0.mul(m1);
return m0;
}
// From https://math.stackexchange.com/questions/296794
private static Matrix3D computeProjectionMatrix(Point2D p[])
{
Matrix3D m = new Matrix3D(
p[0].getX(),p[1].getX(),p[2].getX(),p[0].getY(),p[1].getY(),p[2].getY(),1,1);
Point3D p3 = new Point3D(p[3].getX(),p[3].getY(),1);
Matrix3D mInv = new Matrix3D(m);
mInv.invert();
mInv.transform(p3);
m.m00 *= p3.x;
m.m01 *= p3.y;
m.m02 *= p3.z;
m.m10 *= p3.x;
m.m11 *= p3.y;
m.m12 *= p3.z;
m.m20 *= p3.x;
m.m21 *= p3.y;
m.m22 *= p3.z;
return m;
}
private static class Point3D
{
double x;
double y;
double z;
Point3D(double x,double y,double z)
{
this.x = x;
this.y = y;
this.z = z;
}
}
private static class Matrix3D
{
double m00;
double m01;
double m02;
double m10;
double m11;
double m12;
double m20;
double m21;
double m22;
Matrix3D(
double m00,double m01,double m02,double m10,double m11,double m12,double m20,double m21,double m22)
{
this.m00 = m00;
this.m01 = m01;
this.m02 = m02;
this.m10 = m10;
this.m11 = m11;
this.m12 = m12;
this.m20 = m20;
this.m21 = m21;
this.m22 = m22;
}
Matrix3D(Matrix3D m)
{
this.m00 = m.m00;
this.m01 = m.m01;
this.m02 = m.m02;
this.m10 = m.m10;
this.m11 = m.m11;
this.m12 = m.m12;
this.m20 = m.m20;
this.m21 = m.m21;
this.m22 = m.m22;
}
// From http://www.dr-lex.be/random/matrix_inv.html
void invert()
{
double invDet = 1.0 / determinant();
double nm00 = m22 * m11 - m21 * m12;
double nm01 = -(m22 * m01 - m21 * m02);
double nm02 = m12 * m01 - m11 * m02;
double nm10 = -(m22 * m10 - m20 * m12);
double nm11 = m22 * m00 - m20 * m02;
double nm12 = -(m12 * m00 - m10 * m02);
double nm20 = m21 * m10 - m20 * m11;
double nm21 = -(m21 * m00 - m20 * m01);
double nm22 = m11 * m00 - m10 * m01;
m00 = nm00 * invDet;
m01 = nm01 * invDet;
m02 = nm02 * invDet;
m10 = nm10 * invDet;
m11 = nm11 * invDet;
m12 = nm12 * invDet;
m20 = nm20 * invDet;
m21 = nm21 * invDet;
m22 = nm22 * invDet;
}
// From http://www.dr-lex.be/random/matrix_inv.html
double determinant()
{
return
m00 * (m11 * m22 - m12 * m21) +
m01 * (m12 * m20 - m10 * m22) +
m02 * (m10 * m21 - m11 * m20);
}
final void mul(double factor)
{
m00 *= factor;
m01 *= factor;
m02 *= factor;
m10 *= factor;
m11 *= factor;
m12 *= factor;
m20 *= factor;
m21 *= factor;
m22 *= factor;
}
void transform(Point3D p)
{
double x = m00 * p.x + m01 * p.y + m02 * p.z;
double y = m10 * p.x + m11 * p.y + m12 * p.z;
double z = m20 * p.x + m21 * p.y + m22 * p.z;
p.x = x;
p.y = y;
p.z = z;
}
void transform(Point2D pp)
{
Point3D p = new Point3D(pp.getX(),pp.getY(),1.0);
transform(p);
pp.setLocation(p.x / p.z,p.y / p.z);
}
void mul(Matrix3D m)
{
double nm00 = m00 * m.m00 + m01 * m.m10 + m02 * m.m20;
double nm01 = m00 * m.m01 + m01 * m.m11 + m02 * m.m21;
double nm02 = m00 * m.m02 + m01 * m.m12 + m02 * m.m22;
double nm10 = m10 * m.m00 + m11 * m.m10 + m12 * m.m20;
double nm11 = m10 * m.m01 + m11 * m.m11 + m12 * m.m21;
double nm12 = m10 * m.m02 + m11 * m.m12 + m12 * m.m22;
double nm20 = m20 * m.m00 + m21 * m.m10 + m22 * m.m20;
double nm21 = m20 * m.m01 + m21 * m.m11 + m22 * m.m21;
double nm22 = m20 * m.m02 + m21 * m.m12 + m22 * m.m22;
m00 = nm00;
m01 = nm01;
m02 = nm02;
m10 = nm10;
m11 = nm11;
m12 = nm12;
m20 = nm20;
m21 = nm21;
m22 = nm22;
}
}
}
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