We Keep Coding

Rotating shape and drawing it at the original position

I'm trying to draw a rotated shape at a given point. To give an example, in the following image, the red rectangle is a non-rotated rectangle drawn at a point and then the blue rectangle is rotated and drawn at the same position. The blue rectangle is the outcome I'm aiming for.
I've been experimenting and trying different methods. Currently, here is what I used for the image:
Point point = new Point(300, 300);
Dimension dim = new Dimension(200, 100);
double radians = Math.toRadians(30);
g.setColor(new java.awt.Color(1f, 0f, 0f, .5f));
g.fillRect(point.x, point.y, dim.width, dim.height);
translate(g, dim, radians);
g.rotate(radians, point.getX(), point.getY());
g.setColor(new java.awt.Color(0f, 0f, 1f, .5f));
g.fillRect(point.x, point.y, dim.width, dim.height);
private static void translate(Graphics2D g, Dimension dim, double radians) {
if (radians > Math.toRadians(360)) {
radians %= Math.toRadians(360);
}
int xOffsetX = 0;
int xOffsetY = 0;
int yOffsetX = 0;
int yOffsetY = 0;
if (radians > 0 && radians <= Math.toRadians(90)) {
xOffsetY -= dim.getHeight();
} else if (radians > Math.toRadians(90) && radians <= Math.toRadians(180)) {
xOffsetX -= dim.getWidth();
xOffsetY -= dim.getHeight();
yOffsetY -= dim.getHeight();
} else if (radians > Math.toRadians(180) && radians <= Math.toRadians(270)) {
xOffsetX -= dim.getWidth();
yOffsetX -= dim.getWidth();
yOffsetY -= dim.getHeight();
} else {
yOffsetX -= dim.getWidth();
}
int x = rotateX(xOffsetX, xOffsetY, radians);
int y = rotateY(yOffsetX, yOffsetY, radians);
g.translate(x, y);
}
private static int rotateX(int x, int y, double radians) {
if (x == 0 && y == 0) {
return 0;
}
return (int) Math.round(x * Math.cos(radians) - y * Math.sin(radians));
}
private static int rotateY(int x, int y, double radians) {
if (x == 0 && y == 0) {
return 0;
}
return (int) Math.round(x * Math.sin(radians) + y * Math.cos(radians));
}
This works for rectangles but doesn't work for other types of shapes. I'm trying to figure out if there is a way to accomplish this for every type of shape. Also note that the code is just for testing purposes and there are a lot of bad practices in it, like calling Math.toRadians so much.

Something like this?
It can be achieved using a rotate transform first, then using the bounds of the rotated shape as a basis, the translate transform can be used to shift it back to meet the top most y and leftmost x values of the original rectangle.
See the getImage() method for one implementation of that.
int a = angleModel.getNumber().intValue();
AffineTransform rotateTransform = AffineTransform.getRotateInstance((a*2*Math.PI)/360d);
// rotate the original shape with no regard to the final bounds
Shape rotatedShape = rotateTransform.createTransformedShape(rectangle);
// get the bounds of the rotated shape
Rectangle2D rotatedRect = rotatedShape.getBounds2D();
// calculate the x,y offset needed to shift it to top/left bounds of original rectangle
double xOff = rectangle.getX()-rotatedRect.getX();
double yOff = rectangle.getY()-rotatedRect.getY();
AffineTransform translateTransform = AffineTransform.getTranslateInstance(xOff, yOff);
// shift the new shape to the top left of original rectangle
Shape rotateAndTranslateShape = translateTransform.createTransformedShape(rotatedShape);
Here is the complete source code:
import java.awt.*;
import java.awt.geom.*;
import java.awt.image.BufferedImage;
import javax.swing.*;
import javax.swing.event.*;
import javax.swing.border.EmptyBorder;
public class TransformedShape {
private JComponent ui = null;
JLabel output = new JLabel();
JToolBar tools = new JToolBar("Tools");
ChangeListener changeListener = (ChangeEvent e) -> {
refresh();
};
int pad = 5;
Rectangle2D.Double rectangle = new Rectangle2D.Double(pad,pad,200,100);
SpinnerNumberModel angleModel = new SpinnerNumberModel(30, 0, 90, 1);
public TransformedShape() {
initUI();
}
private BufferedImage getImage() {
int a = angleModel.getNumber().intValue();
AffineTransform rotateTransform = AffineTransform.getRotateInstance((a*2*Math.PI)/360d);
Shape rotatedShape = rotateTransform.createTransformedShape(rectangle);
Rectangle2D rotatedRect = rotatedShape.getBounds2D();
double xOff = rectangle.getX()-rotatedRect.getX();
double yOff = rectangle.getY()-rotatedRect.getY();
AffineTransform translateTransform = AffineTransform.getTranslateInstance(xOff, yOff);
Shape rotateAndTranslateShape = translateTransform.createTransformedShape(rotatedShape);
Area combinedShape = new Area(rotateAndTranslateShape);
combinedShape.add(new Area(rectangle));
Rectangle2D r = combinedShape.getBounds2D();
BufferedImage bi = new BufferedImage((int)(r.getWidth()+(2*pad)), (int)(r.getHeight()+(2*pad)), BufferedImage.TYPE_INT_ARGB);
Graphics2D g = bi.createGraphics();
g.setRenderingHint(RenderingHints.KEY_ALPHA_INTERPOLATION, RenderingHints.VALUE_ALPHA_INTERPOLATION_QUALITY);
g.setRenderingHint(RenderingHints.KEY_COLOR_RENDERING, RenderingHints.VALUE_COLOR_RENDER_QUALITY);
g.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);
g.setColor(new Color(255,0,0,127));
g.fill(rectangle);
g.setColor(new Color(0,0,255,127));
g.fill(rotateAndTranslateShape);
g.dispose();
return bi;
}
private void addModelToToolbar(String label, SpinnerNumberModel model) {
tools.add(new JLabel(label));
JSpinner spinner = new JSpinner(model);
spinner.addChangeListener(changeListener);
tools.add(spinner);
}
public final void initUI() {
if (ui!=null) return;
ui = new JPanel(new BorderLayout(4,4));
ui.setBorder(new EmptyBorder(4,4,4,4));
ui.add(output);
ui.add(tools,BorderLayout.PAGE_START);
addModelToToolbar("Angle", angleModel);
refresh();
}
private void refresh() {
output.setIcon(new ImageIcon(getImage()));
}
public JComponent getUI() {
return ui;
}
public static void main(String[] args) {
Runnable r = () -> {
try {
UIManager.setLookAndFeel(UIManager.getSystemLookAndFeelClassName());
} catch (Exception ex) {
ex.printStackTrace();
}
TransformedShape o = new TransformedShape();
JFrame f = new JFrame(o.getClass().getSimpleName());
f.setDefaultCloseOperation(JFrame.DISPOSE_ON_CLOSE);
f.setLocationByPlatform(true);
f.setContentPane(o.getUI());
f.pack();
f.setMinimumSize(f.getSize());
f.setVisible(true);
};
SwingUtilities.invokeLater(r);
}
}

You have a shape, any shape.
You have a point (px,py) and you want to rotate the shape around this point and angle ag measured counter-clokwise.
For each point of the shape the proccess has three steps:
Translate to (px,py)
Rotate
Translate back to (0,0)
The translation is fully simple
xNew = xOld - px
yNew = yOld - py
The rotation is a bit less simple
xRot = xNew * cos(ag) - yNew * sin(ag)
yRot = xNew * sin(ag) + yNew * cos(ag)
Finally the translation back:
xDef = xRot + px
yDef = yRot + py
A bit of explanation: Any transformation can be seen in two ways: 1) I move the shape 2) I move the axis-system. If you think about it, you'll find that the trasnsformation is relative: seen from the axis point of view or seen from the shape point of view.
So, you can say "I want coordinates in the translated system", or you can also say "I want the coordinates of the translated shape".
It doesn't matter what point of view you chose, the equations are the same.
I'm explaining this so much, just to achieve you realize which is the positive direction of the angle: clockwise or counter-clockwise.

How to fill a triangle using lines?

I'm trying to fill a triangle using horizontal lines and I can't figure out what's wrong with my current method. Before anyone says to just use fillPolygon, I can't use that. I need to fill it using lines.
It seems to work ok in some situations and completely break in others.
That's how it should look. But then I tried applying my method to a rotating 3D cube and...
I have no idea what's wrong. Also, the red borders are also one of my triangle methods. Those work perfectly and the filled triangles and the outlined triangles have the same vertices inputted.
public void filledTri(int x1,int y1,int x2,int y2,int x3,int y3){
int[] xs = {x1,x2,x3};
int[] ys = {y1,y2,y3};
//Sort vertices in vertical order so A/1 is highest and C/3 is lowest
int I,tempx,tempy;
for(int i=1;i<3;i++){
I = i-1;
tempx = xs[i];
tempy = ys[i];
while(I>=0&&tempy<ys[I]){
xs[I+1] = xs[I];
ys[I+1] = ys[I];
I--;
}
xs[I+1] = tempx;
ys[I+1] = tempy;
}
//Set left and right edges
linepts ab = new linepts(xs[0],ys[0],xs[1],ys[1]),
ac = new linepts(xs[0],ys[0],xs[2],ys[2]);
linepts[] lines = {ab.getEndX() < ac.getEndX() ? ab : ac,
ab.getEndX() > ac.getEndX() ? ab : ac,
new linepts(xs[1],ys[1],xs[2],ys[2])};
//Fill triangle
int startY = ys[0],endY = ys[2];
for(int y=startY;y<=endY;y++){
if(y>ys[1])
horizontalLine((int)Math.round(lines[2].getX(y)),
y,
(int)Math.round(lines[1].getX(y)));
else
horizontalLine((int)Math.round(lines[0].getX(y)),
y,
(int)Math.round(lines[1].getX(y)));
}
getX(int y) gets me the x coordinate where the line passes through the y value. If it's a horizontal line it just returns the line's start x
Point A is the highest on screen and the lowest value, B is the middle, and C is the lowest on screen and highest value
I'm using a buffered image on a jframe to draw it if that helps.

I've seen what you are doing in a Software Renderer tutorial. It is explained in this and this episodes.
What he does there is scanning the longest to get every pixel on that line, it stores the min X value and max X value, (given by the other 2 lines). He originally makes it for specific triangles, but then he upgrades the code to accept generic triangles.
Here's a nice diagram to explain that:
I assume what you're experiencing is because of projecting 3D triangles into 2D ones (clipping, triangles get infinite coordinates, or because you're program doesn't takes too well empty triangles.

One way is to draw the lines to an image, then use that image in a TexturePaint to fill a Shape (the triangle in this case).
It might look something like this: (if you use a single image containing one red line, put it over a random BG color, and use a smoothed 1.5 pixel stroke to draw the shape itself in blue).
import java.awt.*;
import java.awt.geom.*;
import java.awt.image.BufferedImage;
import javax.swing.*;
import javax.swing.border.EmptyBorder;
import java.util.*;
public class LinesFillShape {
private JComponent ui = null;
LinesFillShape() {
initUI();
}
public final void initUI() {
if (ui != null) {
return;
}
ui = new JPanel(new BorderLayout(4, 4));
ui.setBorder(new EmptyBorder(4, 4, 4, 4));
ui.add(new JLabel(new ImageIcon(getImage())));
}
private void drawPolygon(Graphics2D g, int sz, Random r) {
int[] xpoints = {
r.nextInt(sz), r.nextInt(sz), r.nextInt(sz)
};
int[] ypoints = {
r.nextInt(sz), r.nextInt(sz), r.nextInt(sz)
};
Polygon p = new Polygon(xpoints, ypoints, 3);
Color bg = new Color(r.nextInt(255),r.nextInt(255),r.nextInt(255));
g.setColor(bg);
g.fill(p);
g.setPaint(
new TexturePaint(getTexture(),
new Rectangle2D.Double(0, 0, 8, 8)));
g.fill(p);
g.setStroke(new BasicStroke(1.5f));
g.setColor(Color.BLUE);
g.draw(p);
}
private BufferedImage getImage() {
int sz = 600;
BufferedImage bi = new BufferedImage(sz, sz, BufferedImage.TYPE_INT_ARGB);
Graphics2D g = bi.createGraphics();
g.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);
Random r = new Random();
drawPolygon(g, sz, r);
drawPolygon(g, sz, r);
drawPolygon(g, sz, r);
g.dispose();
return bi;
}
private BufferedImage getTexture() {
BufferedImage bi = new BufferedImage(8, 8, BufferedImage.TYPE_INT_ARGB);
Graphics g = bi.getGraphics();
g.setColor(Color.RED);
// TODO: something more interesting here..
g.drawLine(0, 0, 0, 8);
g.dispose();
return bi;
}
public JComponent getUI() {
return ui;
}
public static void main(String[] args) {
Runnable r = () -> {
try {
UIManager.setLookAndFeel(
UIManager.getSystemLookAndFeelClassName());
} catch (Exception useDefault) {
}
LinesFillShape o = new LinesFillShape();
JFrame f = new JFrame(o.getClass().getSimpleName());
f.setDefaultCloseOperation(JFrame.DISPOSE_ON_CLOSE);
f.setLocationByPlatform(true);
f.setContentPane(o.getUI());
f.pack();
f.setMinimumSize(f.getSize());
f.setVisible(true);
};
SwingUtilities.invokeLater(r);
}
}

I have not scrutinized your code but I can tell you that you are not always joining intersections with the relevant sides.
You can work as follows:
For a given scanline (some Y),
compare the ordinates of the endpoints of the three sides in pairs (Y0-Y1, Y1-Y2, Y2-Y0),
there will be zero or two sides that straddle Y; use the condition (Yi > Y) != (Yi+1 > Y) (indexes modulo 3), and no other,
for the sides that straddle Y, compute the intersection point.
You will scan from min(Y0, Y1, Y2) to max(Y0, Y1, Y2) and each time join the two intersections.

Rounded LineBorder - not all corners are rounded

I'm using JFreeChart and I want to customise the ToolTip by creating my own Class which extends ChartPanel and override createToolTip().
static private class PrivateChartPanel extends ChartPanel{
//constructors
#Override
public JToolTip createToolTip() {
JToolTip jtt = super.createToolTip();
jtt.setBackground(Color.WHITE);
jtt.setBorder(BorderFactory.createLineBorder(Color.BLACK, 1, true));
return jtt;
}
}
The problem is at Border. It is not rounded on all corners.
Why it is not rounded on all corners and how I could done it?
P.S.: I created a new simple project
import java.awt.Color;
import javax.swing.BorderFactory;
import javax.swing.JFrame;
import javax.swing.JPanel;
public class HelloWorld {
public static void main(String[] args) {
JFrame a = new JFrame();
a.setBounds(100, 100, 100, 100);
a.setLayout(null);
JPanel b = new JPanel();
b.setBounds(5, 5, 50, 50);
b.setBorder(BorderFactory.createLineBorder(Color.BLACK, 1, true));
a.add(b);
a.setVisible(true);
}
}
and Border of JPanel is with same problem. I'm using Java 10

The effect of rounded corners depends on the size of these rounded corners. In case of LineBorder, it is determined by the thickness property. This is how the relevant implementation code looks like:
int offs = this.thickness;
int size = offs + offs;
if (this.roundedCorners) {
float arc = .2f * offs;
outer = new RoundRectangle2D.Float(x, y, width, height, offs, offs);
inner = new RoundRectangle2D.Float(x + offs, y + offs, width - size, height - size, arc, arc);
}
else {
outer = new Rectangle2D.Float(x, y, width, height);
inner = new Rectangle2D.Float(x + offs, y + offs, width - size, height - size);
}
Path2D path = new Path2D.Float(Path2D.WIND_EVEN_ODD);
path.append(outer, false);
path.append(inner, false);
g2d.fill(path);
So it differentiates between inner and outer corner, which is not much meaningful for a line size of one. But even worse, the outer corner size is just offs, which is identical to thickness (one in your case) and the size of the inner rounded corner is determined by arc, which is .2f * offs. For your thickness of one, the resulting inner corner size is 0.2. So it seems to be a pure coincidence (rounding issue of these two different corners) that we see an effect in the upper left corner, as even the bigger outer corner size of one is not enough to create a visible rounded effect.
Here is how it looks like with a thickness of 20, which results in an outer corner size of 20 and a whopping inner corner size of 4:
It don’t know which actual use case the Swing developers had in mind when they added the rounded corner support in this class. I can’t imagine any scenario where this strategy is useful.
Implementing a meaningful Border is not that hard. One possible implementation looks like:
public class RoundedLineBorder extends AbstractBorder {
int lineSize, cornerSize;
Paint fill;
Stroke stroke;
private Object aaHint;
public RoundedLineBorder(Paint fill, int lineSize, int cornerSize) {
this.fill = fill;
this.lineSize = lineSize;
this.cornerSize = cornerSize;
stroke = new BasicStroke(lineSize);
}
public RoundedLineBorder(Paint fill, int lineSize, int cornerSize, boolean antiAlias) {
this.fill = fill;
this.lineSize = lineSize;
this.cornerSize = cornerSize;
stroke = new BasicStroke(lineSize);
aaHint = antiAlias? RenderingHints.VALUE_ANTIALIAS_ON: RenderingHints.VALUE_ANTIALIAS_OFF;
}
#Override
public Insets getBorderInsets(Component c, Insets insets) {
int size = Math.max(lineSize, cornerSize);
if(insets == null) insets = new Insets(size, size, size, size);
else insets.left = insets.top = insets.right = insets.bottom = size;
return insets;
}
#Override
public void paintBorder(Component c, Graphics g, int x, int y, int width, int height) {
Graphics2D g2d = (Graphics2D)g;
Paint oldPaint = g2d.getPaint();
Stroke oldStroke = g2d.getStroke();
Object oldAA = g2d.getRenderingHint(RenderingHints.KEY_ANTIALIASING);
try {
g2d.setPaint(fill!=null? fill: c.getForeground());
g2d.setStroke(stroke);
if(aaHint != null) g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING, aaHint);
int off = lineSize >> 1;
g2d.drawRoundRect(x+off, y+off, width-lineSize, height-lineSize, cornerSize, cornerSize);
}
finally {
g2d.setPaint(oldPaint);
g2d.setStroke(oldStroke);
if(aaHint != null) g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING, oldAA);
}
}
}
Now, when I change the line
b.setBorder(BorderFactory.createLineBorder(Color.BLACK, 1, true));
in your example to
b.setBorder(new RoundedLineBorder(Color.BLACK, 1, 10, true));
I get

Java draw circle and lines on Swing

I'm trying to draw a circle with a random center inside a big bigger circular surface. (I'm actually trying to simulate a human and his eyesight inside a room!) I need to draw a random line (call it line1) passing through its center which will intersect with the surface. line1 does not necessarily pass the center of circular surface. I also need to draw two lines forming 60 degree, facing on one side of line1. Can anyone help me with that?
I created an example of what I need to draw.
import java.awt.Color;
import java.awt.Frame;
import java.awt.Graphics;
import java.awt.Point;
import java.util.Random;
import javax.swing.JFrame;
public class ShapeTest extends JFrame{
int width=500;
int height=500;
public ShapeTest(){
setSize(width,height);
setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
setResizable(false);
setLocationRelativeTo(null);
setVisible(true);
}
public static void main(String a[]){
new ShapeTest();
}
public void paint(Graphics g){
// Circular Surface
drawCircleByCenter(g, width/2, height/2, width/2);
Random r = new Random();
Point center = new Point();
center.x=r.nextInt(width/2);
center.y=r.nextInt(width/2);
drawCircleByCenter(g, center.x, center.y, width/15);
}
void drawCircleByCenter(Graphics g, int x, int y, int radius){
//g.setColor(Color.LIGHT_GRAY);
g.drawOval(x-radius, y-radius, 2*radius, 2*radius);
}
}

Start by changing your method to draw a circle based on its center and radius to a method which returns a Ellipse2D object representing the circle. This will allow us to do some clipping and other things with the shape besides just draw it.
Setting the clip to be the shape of your large circle prevents stray marks from being made where you don't want them (think "color inside the lines"). This is important because when we draw the circles and lines inside the big circle, some of them will be too big and would otherwise mark outside the bounds of the big circle.
Once we set the clip, we use the method Line2D getVector(Point2D, double, length) with an origin at the center of the large circle, a random angle and a random length (capped to keep the small blue circle inside the big circle). Think of this a random polar coordinate with the center of the large circle as the origin. The end point of this vector is used to mark the center of the small circle.
Using the center of the small circle as a starting point, we can generate two vectors in opposite directions (just negate the length of one to get it going the other direction) by using a random direction angle. We use a length equal to the diameter of the big circle to make certain that the lines will always go all the way up to the edge of the big circle (but not past, thanks to our clip).
We simply add 60 and 120 degrees to the angle of our blue dashed line and draw two green lines calculating the vectors the same way we did for the two blue dashed lines, except we don't need to create ones with negated lengths. We can also add a normal vector in for good measure simply by adding 90 degrees to the angle of the blue dashed line.
Lastly, we pick some random polar coordinates (just like we did for the small blue circle) to represent some people, and using the intersection of the people with the areas created by the various lines, we can see where they are at and draw them up with color coded values.
Now that we have all the people, we eliminate the clip and draw the big circle and voila!
Check out Draw a line at a specific angle in Java for details on how I calculated the vectors for the lines.
But enough talk, here's the code:
import java.awt.BasicStroke;
import java.awt.Color;
import java.awt.Font;
import java.awt.FontMetrics;
import java.awt.Graphics2D;
import java.awt.RenderingHints;
import java.awt.Shape;
import java.awt.Stroke;
import java.awt.geom.Area;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Line2D;
import java.awt.geom.Path2D;
import java.awt.geom.Point2D;
import java.awt.geom.Rectangle2D;
import java.awt.image.BufferedImage;
import java.util.ArrayList;
import java.util.Random;
import javax.swing.ImageIcon;
import javax.swing.JFrame;
import javax.swing.JLabel;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
public class ShapeTest extends JFrame {
private static final long serialVersionUID = 1L;
private int width = 500;
private int height = 500;
private int padding = 50;
private BufferedImage graphicsContext;
private JPanel contentPanel = new JPanel();
private JLabel contextRender;
private Stroke dashedStroke = new BasicStroke(3.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_ROUND, 2f, new float[] {3f, 3f}, 0f);
private Stroke solidStroke = new BasicStroke(3.0f);
private RenderingHints antialiasing;
private Random random = new Random();
public static void main(String[] args) {
//you should always use the SwingUtilities.invodeLater() method
//to perform actions on swing elements to make certain everything
//is happening on the correct swing thread
Runnable swingStarter = new Runnable()
{
#Override
public void run(){
new ShapeTest();
}
};
SwingUtilities.invokeLater(swingStarter);
}
public ShapeTest(){
antialiasing = new RenderingHints(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);
graphicsContext = new BufferedImage(width + (2 * padding), width + (2 * padding), BufferedImage.TYPE_INT_RGB);
contextRender = new JLabel(new ImageIcon(graphicsContext));
contentPanel.add(contextRender);
contentPanel.setSize(width + padding * 2, height + padding * 2);
this.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
this.setResizable(false);
this.setContentPane(contentPanel);
//take advantage of auto-sizing the window based on the size of its contents
this.pack();
this.setLocationRelativeTo(null);
this.paint();
setVisible(true);
}
public void paint() {
Graphics2D g2d = graphicsContext.createGraphics();
g2d.setRenderingHints(antialiasing);
//Set up the font to print on the circles
Font font = g2d.getFont();
font = font.deriveFont(Font.BOLD, 14f);
g2d.setFont(font);
FontMetrics fontMetrics = g2d.getFontMetrics();
//clear the background
g2d.setColor(Color.WHITE);
g2d.fillRect(0, 0, graphicsContext.getWidth(), graphicsContext.getHeight());
//set up the large circle
Point2D largeCircleCenter = new Point2D.Double((double)width / 2 + padding, (double)height / 2 + padding);
double largeCircleRadius = (double)width / 2;
Ellipse2D largeCircle = getCircleByCenter(largeCircleCenter, largeCircleRadius);
//here we build the small circle
Point2D smallCircleCenter = new Point2D.Double();
double smallCircleRadius = 15;
//we need to make certain it is confined inside the larger circle
//so we choose the following values carefully
//we want to go a random direction from the circle, so chose an
//angle randomly in any direction
double smallCenterVectorAngle = random.nextDouble() * 360.0d;
//and we want to be a random distance from the center of the large circle, but
//we limit the distance based on the radius of the small circle to prevent it
//from appearing outside the large circle
double smallCenterVectorLength = random.nextDouble() * (largeCircleRadius - smallCircleRadius);
Line2D vectorToSmallCenter = getVector(largeCircleCenter, smallCenterVectorAngle, smallCenterVectorLength);
//the resulting end point of the vector is a random distance from the center of the large circle
//in a random direction, and guaranteed to not place the small circle outside the large
smallCircleCenter.setLocation(vectorToSmallCenter.getP2());
Ellipse2D smallCircle = getCircleByCenter(smallCircleCenter, smallCircleRadius);
//before we draw any of the circles or lines, set the clip to the large circle
//to prevent drawing outside our boundaries
g2d.setClip(largeCircle);
//chose a random angle for the line through the center of the small circle
double angle = random.nextDouble() * 360.0d;
//we create two lines that start at the center and go out at the angle in
//opposite directions. We use 2*largeCircleRadius to make certain they
//will be large enough to fill the circle, and the clip we set prevent stray
//marks outside the big circle
Line2D centerLine1 = getVector(smallCircleCenter, angle, largeCircleRadius * 2);
Line2D centerLine2 = getVector(smallCircleCenter, angle, -largeCircleRadius * 2);
//now we just add 20 and 120 to our angle for the center-line, start at the center
//and again, use largeCircleRadius*2 to make certain the lines are big enough
Line2D sightVector1 = getVector(smallCircleCenter, angle + 60, largeCircleRadius * 2);
Line2D sightVector2 = getVector(smallCircleCenter, angle + 120, largeCircleRadius * 2);
Path2D visible = new Path2D.Double();
visible.moveTo(sightVector1.getX2(), sightVector1.getY2());
visible.lineTo(smallCircleCenter.getX(), smallCircleCenter.getY());
visible.lineTo(sightVector2.getX2(), sightVector2.getY2());
visible.closePath();
Path2D greenSide = new Path2D.Double();
greenSide.moveTo(centerLine1.getX2(), centerLine1.getY2());
greenSide.lineTo(smallCircleCenter.getX(), smallCircleCenter.getY());
greenSide.lineTo(centerLine2.getX2(), centerLine2.getY2());
greenSide.lineTo(sightVector1.getX2(), sightVector1.getY2());
greenSide.closePath();
int personCount = 5;
Area visibleArea = new Area(visible);
visibleArea.intersect(new Area(largeCircle));
Area greenSideArea = new Area(greenSide);
greenSideArea.intersect(new Area(largeCircle));
//we create a list of the people in the circle to
//prevent overlap
ArrayList<Shape> people = new ArrayList<Shape>();
people.add(smallCircle);
int i = 0;
personLoop: while (i < personCount){
double personCenterVectorAngle = random.nextDouble() * 360.0d;
double personCenterVectorLength = random.nextDouble() * (largeCircleRadius - smallCircleRadius);
Line2D vectorToPersonCenter = getVector(largeCircleCenter, personCenterVectorAngle, personCenterVectorLength);
Point2D personCircleCenter = vectorToPersonCenter.getP2();
Ellipse2D personCircle = getCircleByCenter(personCircleCenter, smallCircleRadius);
//this little loop lets us skip a person if they have overlap
//with another person, since people don't generally overlap
Area personArea = new Area(personCircle);
for (Shape person : people)
{
Area overlapArea = new Area(person);
overlapArea.intersect(personArea);
//this means that we have found a conflicting
//person, so should skip them
if (!overlapArea.isEmpty()){
continue personLoop;
}
}
people.add(personCircle);
personArea.intersect(visibleArea);
Area greenSideAreaTest = new Area(personCircle);
greenSideAreaTest.intersect(greenSideArea);
if (personArea.isEmpty()){
if (greenSideAreaTest.isEmpty()){
g2d.setColor(Color.orange);
System.out.println("Person " + i + " is behind the blue line");
}
else {
System.out.println("Person " + i + " is in front of the blue line");
g2d.setColor(Color.cyan);
}
}
else
{
System.out.println("Person " + i + " is between the green lines");
g2d.setColor(Color.magenta);
}
//alternatively to circles intersecting the area of interest, we can check whether the center
//is in the area of interest which may make more intuitive sense visually
// if (visibleArea.contains(personCircleCenter)){
// System.out.println("Person " + i + " is between the green lines");
// g2d.setColor(Color.magenta);
// }
// else {
// if (greenSideArea.contains(personCircleCenter)) {
// System.out.println("Person " + i + " is in front of the blue line");
// g2d.setColor(Color.cyan);
// }
// else{
// g2d.setColor(Color.orange);
// System.out.println("Person " + i + " is behind the blue line");
// }
// }
g2d.fill(personCircle);
g2d.setColor(Color.black);
String itemString = "" + i;
Rectangle2D itemStringBounds = fontMetrics.getStringBounds(itemString, g2d);
double textX = personCircleCenter.getX() - (itemStringBounds.getWidth() / 2);
double textY = personCircleCenter.getY() + (itemStringBounds.getHeight()/ 2);
g2d.drawString("" + i, (float)textX, (float)textY);
i++;
}
//fill the small circle with blue
g2d.setColor(Color.BLUE);
g2d.fill(smallCircle);
//draw the two center lines lines
g2d.setStroke(dashedStroke);
g2d.draw(centerLine1);
g2d.draw(centerLine2);
//create and draw the black offset vector
Line2D normalVector = getVector(smallCircleCenter, angle + 90, largeCircleRadius * 2);
g2d.setColor(Color.black);
g2d.draw(normalVector);
//draw the offset vectors
g2d.setColor(new Color(0, 200, 0));
g2d.draw(sightVector1);
g2d.draw(sightVector2);
//we save the big circle for last, to cover up any stray marks under the stroke
//of its perimeter. We also set the clip back to null to prevent the large circle
//itselft from accidentally getting clipped
g2d.setClip(null);
g2d.setStroke(solidStroke);
g2d.setColor(Color.BLACK);
g2d.draw(largeCircle);
g2d.dispose();
//force the container for the context to re-paint itself
contextRender.repaint();
}
private static Line2D getVector(Point2D start, double degrees, double length){
//we just multiply the unit vector in the direction we want by the length
//we want to get a vector of correct direction and magnitute
double endX = start.getX() + (length * Math.sin(Math.PI * degrees/ 180.0d));
double endY = start.getY() + (length * Math.cos(Math.PI * degrees/ 180.0d));
Point2D end = new Point2D.Double(endX, endY);
Line2D vector = new Line2D.Double(start, end);
return vector;
}
private static Ellipse2D getCircleByCenter(Point2D center, double radius)
{
Ellipse2D.Double myCircle = new Ellipse2D.Double(center.getX() - radius, center.getY() - radius, 2 * radius, 2 * radius);
return myCircle;
}
}

The logic of the geometry turned out to be more tricky than I'd presumed, but this is what I think you are after.
import java.awt.*;
import java.awt.event.*;
import java.awt.geom.*;
import java.awt.image.BufferedImage;
import java.io.*;
import java.util.Random;
import javax.imageio.ImageIO;
import javax.swing.*;
class HumanEyesightLines {
int rad = 150;
int radSmall = 15;
int pad = 10;
JPanel gui = new JPanel(new BorderLayout());
BufferedImage img = new BufferedImage(
2 * (rad + pad),
2 * (rad + pad),
BufferedImage.TYPE_INT_RGB);
Timer timer;
JLabel imgDisplay;
Random rnd = new Random();
RenderingHints rh = new RenderingHints(
RenderingHints.KEY_ANTIALIASING,
RenderingHints.VALUE_ANTIALIAS_ON);
HumanEyesightLines() {
imgDisplay = new JLabel(new ImageIcon(img));
gui.add(imgDisplay);
File f = new File(System.getProperty("user.home"));
final File f0 = new File("HumanEyesiteLines");
f0.mkdirs();
try {
Desktop.getDesktop().open(f0);
} catch (IOException ex) {
ex.printStackTrace();
}
ActionListener animationListener = new ActionListener() {
int ii = 0;
#Override
public void actionPerformed(ActionEvent e) {
paintImage();
ii++;
if (ii < 100) {
System.out.println(ii);
File f1 = new File(f0, "eg" + ii + ".png");
try {
ImageIO.write(img, "png", f1);
} catch (IOException ex) {
ex.printStackTrace();
}
}
}
};
timer = new Timer(100, animationListener);
paintImage();
}
float[] dash = {3f, 3f};
float phase = 0f;
private final void paintImage() {
Graphics2D g = img.createGraphics();
g.setRenderingHints(rh);
g.setStroke(new BasicStroke(2f));
// fill the BG
g.setColor(Color.WHITE);
g.fillRect(0, 0, 2 * (rad + pad), 2 * (rad + pad));
// draw the big circle
Point center = new Point(rad + pad, rad + pad);
Shape bigCircle = new Ellipse2D.Double(pad, pad, 2 * rad, 2 * rad);
g.setColor(Color.MAGENTA.darker());
g.fill(bigCircle);
// set the clip to that of the big circle
g.setClip(bigCircle);
// draw the small circle
int xOff = rnd.nextInt(rad) - rad / 2;
int yOff = rnd.nextInt(rad) - rad / 2;
int x = center.x - xOff;
int y = center.y - yOff;
Shape smallCircle = new Ellipse2D.Double(
x - radSmall, y - radSmall,
2 * radSmall, 2 * radSmall);
g.setColor(Color.YELLOW);
g.fill(smallCircle);
g.setColor(Color.ORANGE);
g.draw(smallCircle);
g.setStroke(new BasicStroke(
1.5f,
BasicStroke.CAP_BUTT,
BasicStroke.JOIN_ROUND,
2f,
dash,
phase));
// I don't know what the rule is for where the blue line goes, so
// will use the top left corner of the image as a 2nd anchor point.
int x0 = 0;
int y0 = 0;
double grad = (double) (y - y0) / (double) (x - x0);
// now calculate the RHS point from y = mx + b
// where b = 0 and m is the gradient
int x1 = 2 * (pad + rad);
int y1 = (int) (grad * x1);
Line2D.Double line1 = new Line2D.Double(x0, y0, x1, y1);
g.setColor(Color.BLUE);
g.draw(line1);
//find the perpendicular gradient.
double perpGrad = -1d / grad;
double perpTheta = Math.atan(perpGrad);
// angle from perp
double diffTheta = Math.PI / 6d;
g.setColor(Color.GREEN);
double viewLine1Theta = perpTheta + diffTheta;
Line2D.Double viewLine1 = getLine(x, y, viewLine1Theta);
double viewLine2Theta = perpTheta - diffTheta;
Line2D.Double viewLine2 = getLine(x, y, viewLine2Theta);
g.draw(viewLine1);
g.draw(viewLine2);
g.setColor(Color.BLACK);
Line2D.Double viewPerp = getLine(x, y, perpTheta);
g.draw(viewPerp);
g.setColor(Color.RED);
g.draw(bigCircle);
g.dispose();
imgDisplay.repaint();
}
/**
* Returns a Line2D starting at the point x1,y1 at angle theta.
*/
private final Line2D.Double getLine(double x1, double y1, double theta) {
double m;
double b;
double x2;
double y2;
if (theta < (-Math.PI / 2d)) {
System.out.println("CHANGE IT! " + theta);
m = Math.tan(theta);
b = y1 - (m * x1);
x2 = 0;
y2 = (m * x2) + b;
} else {
m = Math.tan(theta);
b = y1 - (m * x1);
x2 = 2 * (rad + pad);
y2 = (m * x2) + b;
}
/*
* System.out.println("Perp theta: " + theta); System.out.println("Line
* grad: " + m); System.out.println("Line off: " + b);
* System.out.println("x1,y1: " + x1 + "," + y1);
* System.out.println("x2,y2: " + x2 + "," + y2);
*
*/
return new Line2D.Double(x1, y1, x2, y2);
}
public JComponent getGui() {
return gui;
}
public void start() {
timer.start();
}
public void stop() {
timer.stop();
}
public static void main(String[] args) {
Runnable r = new Runnable() {
#Override
public void run() {
HumanEyesightLines hel = new HumanEyesightLines();
hel.start();
JOptionPane.showMessageDialog(null, hel.getGui());
hel.stop();
}
};
// Swing GUIs should be created and updated on the EDT
// http://docs.oracle.com/javase/tutorial/uiswing/concurrency
SwingUtilities.invokeLater(r);
}
}

Java Image Cut Off

Same question as last time but I will provide more detail.
I am currently rotating images using:
int rotateNum //in main class
double rotationRequired = Math.toRadians(rotateNum);
double locationX = img.getWidth(this) / 2;
double locationY = img.getHeight(this) / 2;
AffineTransform tx = AffineTransform.getRotateInstance(rotationRequired, locationX, locationY);
AffineTransformOp op = new AffineTransformOp(tx, AffineTransformOp.TYPE_BILINEAR);
g2d.drawImage(op.filter((BufferedImage)img, null), imgX, imgY, null);
And then I am actually rotating the image using:
double deltaX = (double)(imgY - otherImg.imgY);
double deltaY = (double)(imgX - otherImg.imgX);
rotateNum = (int)(180 * Math.atan2(deltaY, deltaX) / Math.PI);
My images vary in size. The smaller images don't get cut off (meaning cut off with white space) but the larger ones do, on the left or right side. Resizing the images doesn't work, and I clipped out the white rectangle around the image using the
GIMP.
Example Images:
Before(ignore the grey area to the left)
After:
See the cutoff at the side

The problem is your source image is not exactly quadratic. When you implement the AffineTransform rotation with at.rotate(-rad, width/2, height/2);, it is the same as:
at.translate(width/2,height/2);
at.rotate(rads);
at.translate(-width/2,-height/2);
So, when it execute the last line, it translates to the origin. And if the width is greater than y (or vice versa), than the origin of the transform will be translated to a smaller distance than the side of greater length.
For example, if your width is 30 and your height is 60, than the origin point will be set as (-15,-30) from where the transform was original set. So, when you translate it, say, 90 degrees, the image will end up with "width" 60 and "height" 30, but according to the origin point, the image original bottom will be drawn at (-30,0), so it overflows the AffineTransform in -15 in X axis. Then this part of image will cut.
To correct this, you can use the following code instead:
double degreesToRotate = 90;
double locationX =bufferedImage.getWidth() / 2;
double locationY = bufferedImage.getHeight() / 2;
double diff = Math.abs(bufferedImage.getWidth() - bufferedImage.getHeight());
//To correct the set of origin point and the overflow
double rotationRequired = Math.toRadians(degreesToRotate);
double unitX = Math.abs(Math.cos(rotationRequired));
double unitY = Math.abs(Math.sin(rotationRequired));
double correctUx = unitX;
double correctUy = unitY;
//if the height is greater than the width, so you have to 'change' the axis to correct the overflow
if(bufferedImage.getWidth() < bufferedImage.getHeight()){
correctUx = unitY;
correctUy = unitX;
}
int posAffineTransformOpX = posX-(int)(locationX)-(int)(correctUx*diff);
int posAffineTransformOpY = posY-(int)(locationY)-(int)(correctUy*diff);
//translate the image center to same diff that dislocates the origin, to correct its point set
AffineTransform objTrans = new AffineTransform();
objTrans.translate(correctUx*diff, correctUy*diff);
objTrans.rotate(rotationRequired, locationX, locationY);
AffineTransformOp op = new AffineTransformOp(objTrans, AffineTransformOp.TYPE_BILINEAR);
// Drawing the rotated image at the required drawing locations
graphic2dObj.drawImage(op.filter(bufferedImage, null), posAffineTransformOpX, posAffineTransformOpY, null);
Hope it help.

I imagine that it's not the size of the image that matters but rather its eccentricity: images that are more square-like have less of a problem then images that are either more fat or more thin.
I think that your problem is that your center of rotation shouldn't be [width / 2, height / 2] -- it's not that simple. Instead think of the image residing in the left upper portion of a large square the length of the square's side will be the image's width or height, whichever is larger. This is what gets rotated whenever you rotate your image.
For example, please see my reply here: https://stackoverflow.com/a/8720123/522444

This is something that java does unfortunately. One way to solve it is to make the shape a square, so that when rotating no clipping occurs.
This problem is covered in David's "Killer game programming in Java" book, books_google_killer+game+programming+clipping+rotating which is a great book if you want to do any java game programming (Even if it is a bit old).
Edit :: This converting of an image to a square can either be done to the raw image through image editing software, or through java itself. Perhaps roll your own rotating method which can check for such collisions..

Rotating the image may also affect the size of the image. Here is some code I found on the old Sun forums a long time ago (I forget the original poster). It recalculates the size required to display the image at its given angle of rotation:
import java.awt.*;
import java.awt.geom.*;
import java.awt.image.*;
import java.io.*;
import java.net.*;
import javax.imageio.*;
import javax.swing.*;
public class RotateImage {
public static void main(String[] args) throws IOException {
URL url = new URL("https://blogs.oracle.com/jag/resource/JagHeadshot-small.jpg");
BufferedImage original = ImageIO.read(url);
GraphicsConfiguration gc = getDefaultConfiguration();
BufferedImage rotated1 = tilt(original, -Math.PI/2, gc);
BufferedImage rotated2 = tilt(original, +Math.PI/4, gc);
BufferedImage rotated3 = tilt(original, Math.PI, gc);
display(original, rotated1, rotated2, rotated3);
}
public static BufferedImage tilt(BufferedImage image, double angle, GraphicsConfiguration gc) {
double sin = Math.abs(Math.sin(angle)), cos = Math.abs(Math.cos(angle));
int w = image.getWidth(), h = image.getHeight();
int neww = (int)Math.floor(w*cos+h*sin), newh = (int)Math.floor(h*cos+w*sin);
int transparency = image.getColorModel().getTransparency();
System.out.println(transparency);
// BufferedImage result = gc.createCompatibleImage(neww, newh, transparency);
BufferedImage result = gc.createCompatibleImage(neww, newh, Transparency.TRANSLUCENT);
Graphics2D g = result.createGraphics();
g.translate((neww-w)/2, (newh-h)/2);
g.rotate(angle, w/2, h/2);
g.drawRenderedImage(image, null);
return result;
}
public static GraphicsConfiguration getDefaultConfiguration() {
GraphicsEnvironment ge = GraphicsEnvironment.getLocalGraphicsEnvironment();
GraphicsDevice gd = ge.getDefaultScreenDevice();
return gd.getDefaultConfiguration();
}
public static void display(BufferedImage im1, BufferedImage im2, BufferedImage im3, BufferedImage im4) {
JPanel cp = new JPanel(new GridLayout(2,2));
addImage(cp, im1, "original");
addImage(cp, im2, "rotate -PI/2");
addImage(cp, im3, "rotate +PI/4");
addImage(cp, im4, "rotate PI");
JFrame f = new JFrame("RotateImage");
f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
f.setContentPane(cp);
f.pack();
f.setLocationRelativeTo(null);
f.setVisible(true);
}
static void addImage(Container cp, BufferedImage im, String title) {
JLabel lbl = new JLabel(new ImageIcon(im));
lbl.setBorder(BorderFactory.createTitledBorder(title));
cp.add(lbl);
}
}