## Line segment that joining by using bresenham line algorithm, Computer Graphics

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Sketch Line Segment That Joining By Using Bresenham Line Algorithm

Example: Sketch line segment that joining (20, 10) and (25, 14) by using Bresenham line generation algorithm.

Solution: (x0, y0) → (20, 10)   ;   (x1, y1) → (25, 14)

m = (y1- y0)/(x1 - x0)

= (14- 10)/(25 - 20)

= 4/5 < 1

Like, m = (Δy)/ (Δx)

= 4/5 =› Δy = 4

→ plot point (20, 10)

pi = 2Δy - Δx

i = 1:                 pi = 2 * 4 - 5 = 3

Here p1 > 0 consequently x0 ← 21; y0 ← 11 now plot (21, 11)

i = 2 as p1 > 0

∴p2 = p1 + 2(Δy - Δx)

= 3 + 2 (4 - 5) = 3 - 2 = 1

p2 > 0; hence x0 ← 22; y0 ← 12 plot (22,12)

i = 3 as p2 > 0

∴p3 = p2 + 2 (Δy - Δx) = 1 + 2 (4 - 5) = - 1

p3 < 0  ∴x0 ← 23

y0 ← 12

plot (23, 12)

i = 4 as p3 < 0

∴p4 = p3 + 2Δy

= -1 + 2 * 4 = 7

∴ x0 ← 24; y0 ← 13

plot (24, 13)

i = 5 as p4 > 0

∴p5 = p4 + 2 (Δy - Δx)

= 7 + 2 (4 - 5) = 5

x0 ← 25; y0 ← 14

Plot (25, 14)

{for i = 6, x0 will be > xi so algorithm terminates

vecgen algorithm

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