JAVA 北极星二维变换 矩阵做法

package shiyan4; import java.awt.*; import javax.swing.*; import java.awt.event.*; // // enum TransformType {//选择操作的方式 // translation,scaling,rotation ; //平移，缩放，旋转 // } public class Beijixing extends JFrame implements ActionListener { TextField tf1,tf2,tf3,tf4,tf5,tf6,tf7; JPanel pane1,pane2,paintPanel; private Matrix m; private double[][] xym; private int x0,y0; //将图形移到屏幕中间 public Beijixing(){ this.setLayout(null); pane1=new JPanel(new GridLayout(5, 6)); //平移 JLabel lab1 = new JLabel(" x轴平移量 "); tf1 = new TextField(10); lab1.setLabelFor(tf1); JLabel lab2 = new JLabel(" y轴平移量 "); tf2 = new TextField(10); lab2.setLabelFor(tf2); JButton translation = new JButton("平移"); translation.addActionListener(this); pane1.add(lab1); pane1.add(tf1); pane1.add(lab2); pane1.add(tf2); pane1.add(translation); pane1.add(new JLabel(" 单位pixel，整型")); //缩放 JLabel lab3 = new JLabel(" x轴缩放倍数 "); tf3 = new TextField(10); lab3.setLabelFor(tf3); JLabel lab4 = new JLabel(" y轴缩放倍数 "); tf4 = new TextField(10); lab4.setLabelFor(tf4); JButton scaling = new JButton("缩放"); scaling.addActionListener(this); pane1.add(lab3); pane1.add(tf3); pane1.add(lab4); pane1.add(tf4); pane1.add(scaling); pane1.add(new JLabel("小数,正放大，负缩小")); //旋转 JLabel lab5 = new JLabel(" 旋转角度 "); tf5 = new TextField(10); lab5.setLabelFor(tf5); JButton rotation_a = new JButton("顺时针旋转"); rotation_a.addActionListener(this); JButton rotation_b = new JButton("逆时针旋转"); rotation_b.addActionListener(this); JLabel lab6 = new JLabel(""); pane1.add(lab5); pane1.add(tf5); pane1.add(rotation_a); pane1.add(rotation_b); pane1.add(lab6); pane1.add(new JLabel(" 角度制")); //错切 JLabel lab7 = new JLabel(" x方向错切量 "); tf6 = new TextField(10); lab7.setLabelFor(tf6); JLabel lab8 = new JLabel(" y方向错切量 "); tf7 = new TextField(10); lab8.setLabelFor(tf7); JButton shear = new JButton("错切"); shear.addActionListener(this); pane1.add(lab7); pane1.add(tf6); pane1.add(lab8); pane1.add(tf7); pane1.add(shear); pane1.add(new JLabel(" double型")); //对称 JButton duichenx= new JButton("x轴对称"); duichenx.addActionListener(this); JButton duicheny= new JButton("y轴对称"); duicheny.addActionListener(this); JButton duichenxy= new JButton("原点对称"); duichenxy.addActionListener(this); pane1.add(duichenx); pane1.add(new JLabel("")); pane1.add(duicheny); pane1.add(new JLabel("")); pane1.add(duichenxy); pane1.add(new JLabel("")); paintPanel=new JPanel(); paintPanel.setBackground(Color.white); pane1.setBounds(20, 1, 600, 120); this.add(pane1); JButton reset = new JButton("重置"); reset.addActionListener(this); reset.setBounds(630, 100, 100, 30); this.add(reset); paintPanel.setBounds(0,150,1000,550); this.add(paintPanel); this.setBackground(Color.white); x0 = 500; y0 = 200; //北极星的坐标 // x=new int[]{0,0,50, 0,50,140, 0,140,80, 0,80,180, // 0,180,80, 0,80,140, 0,140,50, 0,50,0, // 0,0,-50, 0,-50,-140, 0,-140,-80, 0,-80,-180, // 0,-180,-80, 0,-80,-140, 0,-140,-50, 0,-50,0}; // y=new int[]{0,200,110, 0,110,130, 0,130,30, 0,30,0, // 0,0,-30, 0,-30,-130, 0,-130,-110,0,-110,-200, // 0,-200,-110, 0,-110,-130,0,-130,-30, 0,-30,0, // 0,0,30, 0,30,130, 0,130,110, 0,110,200}; xym=new double[][]{ {0,0,1},{0,100,1},{25,55,1}, {0,0,1},{25,55,1},{70,65,1}, {0,0,1},{70,65,1},{40,15,1}, {0,0,1},{40,15,1},{90,0,1}, {0,0,1},{90,0,1},{40,-15,1}, {0,0,1},{40,-15,1},{70,-65,1}, {0,0,1},{70,-65,1},{25,-55,1}, {0,0,1},{25,-55,1},{0,-100,1}, {0,0,1},{0,-100,1},{-25,-55,1}, {0,0,1},{-25,-55,1},{-70,-65,1}, {0,0,1},{-70,-65,1},{-40,-15,1}, {0,0,1},{-40,-15,1},{-90,0,1}, {0,0,1},{-90,0,1},{-40,15,1}, {0,0,1},{-40,15,1},{-70,65,1}, {0,0,1},{-70,65,1},{-25,55,1}, {0,0,1},{-25,55,1},{0,100,1}}; } public static void main(String args[]) { Beijixing mainFrame = new Beijixing(); mainFrame.setSize(1010, 700); mainFrame.setTitle("北极星变换"); mainFrame.setVisible(true); } public void actionPerformed(ActionEvent e){ Graphics g=paintPanel.getGraphics(); String arg=e.getActionCommand(); int i,j; m=new Matrix(xym); /** * 重置北极星的位置 */ if(arg.equals("重置")){ axes(g); drawStar(g,m.getX(),m.getY()); } /** * 平移,先沿x轴方向平移，然后沿y轴方向移动，因为觉得做斜线方向移动比较麻烦 */ else if(arg.equals("平移")){ int sx,sy; sx = Integer.parseInt(tf1.getText()); sy = Integer.parseInt(tf2.getText()); Matrix mOut = Transform.Translation(1,0); for(i=0;i<sx;i++){ m = Matrix.MatrixMul(m,mOut); axes(g); drawStar(g,m.getX(),m.getY()); delay();//延时 } mOut = Transform.Translation(0,1); for(i=0;i<sy;i++){ m = Matrix.MatrixMul(m,mOut); axes(g); drawStar(g,m.getX(),m.getY()); delay();//延时 } } /** * 缩放，为了表示动态，所以分了10次阶段放大或缩小 * 缩放中心是原点，但是会有所偏离，我认为可能是因为double转int所出现的偏差集合 */ else if(arg.equals("缩放")){ double sx,sy; sx=Double.parseDouble(tf3.getText()); sy=Double.parseDouble(tf4.getText()); for(i=1;i<=10;i++){ Matrix mOut = Transform.Scaling(((sx-1)/10)*i+1,((sy-1)/10)*i+1); Matrix mNew = Matrix.MatrixMul(m,mOut); axes(g); drawStar(g,mNew.getX(),mNew.getY()); for(j=0;j<5;j++){ delay(); } } } /** * 以每次1度的角度顺时针慢慢旋转北极星 */ else if(arg.equals("顺时针旋转")){ double theta; int w=Integer.parseInt(tf5.getText()); theta = (double)1/180*Math.PI; Matrix mOut = Transform.Rotation(theta); for(i=0;i<w;i++){ m = Matrix.MatrixMul(m,mOut); axes(g); drawStar(g,m.getX(),m.getY()); delay();//延时 } } /** * 以每次1度的角度逆时针慢慢旋转北极星 */ else if(arg.equals("逆时针旋转")){ double theta; int w=Integer.parseInt(tf5.getText()); theta = -(double)1/180*Math.PI; Matrix mOut = Transform.Rotation(theta); for(i=0;i<w;i++){ m = Matrix.MatrixMul(m,mOut); axes(g); drawStar(g,m.getX(),m.getY()); delay();//延时 } } /** * 错切，x，y方向分10次变换 */ else if(arg.equals("错切")){ double sx,sy; sx=Double.parseDouble(tf6.getText()); sy=Double.parseDouble(tf7.getText()); for(i=1;i<=10;i++){ Matrix mOut = Transform.Shear((sx/10)*i,(sy/10)*i); Matrix mNew = Matrix.MatrixMul(m,mOut); axes(g); drawStar(g,mNew.getX(),mNew.getY()); delay();//延时 } } /** * 先移动偏离中心位置，然后x轴对称 */ else if(arg.equals("x轴对称")){ //先平移 Matrix mOut = Transform.Translation(0, 1); for(i=0;i<100;i++){ m = Matrix.MatrixMul(m,mOut); axes(g); drawStar(g,m.getX(),m.getY()); delay();//延时 } for(i=0;i<50;i++){ delay(); } mOut = Transform.Symmetry(true,false); m=Matrix.MatrixMul(m,mOut); drawStar(g,m.getX(),m.getY()); } /** * 先移动偏离中心位置，然后y轴对称 */ else if(arg.equals("y轴对称")){ Matrix mOut = Transform.Translation(1, 0); for(i=0;i<100;i++){ m = Matrix.MatrixMul(m,mOut); axes(g); drawStar(g,m.getX(),m.getY()); delay();//延时 } for(i=0;i<50;i++){ delay(); } mOut = Transform.Symmetry(false,true); m=Matrix.MatrixMul(m,mOut); drawStar(g,m.getX(),m.getY()); } /** * 先移动偏离中心位置，然后原点对称 */ else if(arg.equals("原点对称")){ Matrix mOut = Transform.Translation(1, 1);