1. 2D Graphics Basics Chapter 2

2. Bird’s Eye View  Overview of Computer Graphics  2D Graphics: Basics –Basic 2D graphics, rendering pipeline, geometry, equations of primitives, and Java 2D programming  2D Graphics: Rendering Details  2D Graphics: Advanced topics 2

3. Objectives  To understand the architecture and operations of a 2D graphics system  To understand 2D coordinate systems and equations of graphs  To be able to identify the various coordinate spaces in a rendering pipeline  To understand Java 2D program structure and the Graphics2D object  To graph equations with Java programs  To use basic 2D geometric primitives  To construct custom shapes using GeneralPath class  To construct geometric shapes through constructive area geometry 3

4. Rendering Pipeline 1. Construct the 2D objects. 2. Apply transformations to the objects. 3. Apply color and other rendering properties. 4. Render the scene on a graphics device. 4

5. 2D Coordinate System 5

6. Line 6

7. Ellipse 7

8. Parametric Equation 8 Parametric equation of an ellipse

9. Java 2D Coordinate System 9 y-axis pointing downward

10. The Graphics2D Class F Java 2D rendering engine F Extends the Graphics class F Encapsulates all rendering functions 10 void paintComponent(Graphics g){ } Graphics getGraphics()

11. Methods of Graphics Class 11 void setColor(Color c) void setFont(Font f) void setXORMode(Color c) void setPaintMode() void translate(int x, int y) void drawLine(int x1, int y1, int x2, int y2) void drawRect(int x1, int y1, int width, int height) void drawOval(int x1, int y1, int width, int height) void drawArc(int x1, int y1, int width, int height, int start, int arc) void drawRoundRect(int x1, int y1, int width, int height, int arcW, int arcH) void drawPolygon(int[] xPoints, int[] yPoints, int nPoints) void fillRect(int x1, int y1, int width, int height) void fillOval(int x1, int y1, int width, int height) void fillArc(int x1, int y1, int width, int height, int start, int arc) void fillRoundRect(int x1, int y1, int width, int height, int arcW, int arcH) void fillPolygon(int[] xPoints, int[] yPoints, int nPoints) void drawString(String str, int x, int y)

12. Methods of Graphics2D Class 12 void draw(Shape s) void fill(Shape s) void setTransform(AffineTransform Tx) void transform(AffineTransform Tx) void setPaint(Paint p) void setStroke(Stroke s) void clip(Shape s) void setComposite(Composite c) void addRenderingHints(Map hints)

13. A Simple Java 2D Program 13 Source public void paintComponent(Graphics g) { super.paintComponent(g); Graphics2D g2 = (Graphics2D)g; g2.setColor(Color.blue); Ellipse2D e = new Ellipse2D.Double(-100, -50, 200, 100); AffineTransform tr = new AffineTransform(); tr.rotate(Math.PI / 6.0); Shape shape = tr.createTransformedShape(e); g2.translate(300,200); g2.scale(2,2); g2.draw(shape); g2.drawString("Hello 2D", 0, 0); }

14. Graphing a Spirograph 14 Source The parametric equation

15. The Shape Interface 15

16. Draw Shapes  Line  Rectangle  Round rectangle  Ellipse 16  Arc  Quadratic curve  Cubic curve  Polygon Source

17. Constructive Area Geometry  Set-theoretic operations –Intersect –Add –Subtract –Exclusive or 17 Source

18. GeneralPath  Five segment types –SEG_MOVETO –SEG_LINETO –SEG_QUADTO –SEG_CUBICTO –SEG_CLOSE 18  GeneralPath methods –moveTo –lineTo –quadTo –curveTo –closePath

19. Winding Rules  To determine interior regions  Crossing number  Even-odd rule  Non-zero rule 19 Source