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Graphics6 bresenham circlesandpolygons
1.
Computer Graphics 4:
Bresenham Line Drawing Algorithm, Circle Drawing & Polygon Filling
2.
3.
4.
5.
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7.
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9.
10.
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12.
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14.
Bresenham Example (cont…)
17 16 15 14 13 12 11 10 18 29 27 26 25 24 23 22 21 20 28 30 k p k (x k+1 ,y k+1 ) 0 1 2 3 4 5 6 7 8 9
15.
16.
Bresenham Exercise (cont…)
17 16 15 14 13 12 11 10 18 29 27 26 25 24 23 22 21 20 28 30 k p k (x k+1 ,y k+1 ) 0 1 2 3 4 5 6 7 8
17.
18.
19.
A Simple Circle
Drawing Algorithm (cont…)
20.
21.
22.
23.
24.
25.
26.
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30.
31.
Mid-Point Circle Algorithm
Example (cont…) 9 7 6 5 4 3 2 1 0 8 9 7 6 5 4 3 2 1 0 8 10 10 k p k (x k+1 ,y k+1 ) 2x k+1 2y k+1 0 1 2 3 4 5 6
32.
33.
Mid-Point Circle Algorithm
Example (cont…) k p k (x k+1 ,y k+1 ) 2x k+1 2y k+1 0 1 2 3 4 5 6 7 8 9 10 11 12 9 7 6 5 4 3 2 1 0 8 9 7 6 5 4 3 2 1 0 8 10 10 13 12 11 14 15 13 12 14 11 16 15 16
34.
35.
36.
Scan-Line Polygon Fill
Algorithm 2 4 6 8 10 Scan Line 0 2 4 6 8 10 12 14 16
37.
38.
Scan-Line Polygon Fill
Algorithm (cont…)
39.
40.
Anti-Aliasing
41.
Summary Of Drawing
Algorithms
42.
Mid-Point Circle Algorithm
(cont…) 6 2 3 4 1 5 4 3
43.
Mid-Point Circle Algorithm
(cont…) M 6 2 3 4 1 5 4 3
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Mid-Point Circle Algorithm
(cont…) M 6 2 3 4 1 5 4 3
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Blank Grid
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Blank Grid
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Blank Grid 9
7 6 5 4 3 2 1 0 8 9 7 6 5 4 3 2 1 0 8 10 10
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Blank Grid
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