Explain the bresenham line generation algorithm, Computer Graphics

1. Explain the Bresenham line generation algorithm via digitizing the line with end  points as (15, 5) and also (25,13).

Ans. Now we are utilizing the Bresenham line generation algorithm via digitising the line with end points (15, 5) and also (25,13).

 m =( y2 -y1) /(x2 - x1)

= Δy/ Δx

= (13 - 5)/(25 - 15)

= 0.8------------------------(1)

⇒ Δ y = 8 and Δ x = 10      -------------------(2)

So the value of initial decision parameter (p0) = 2Δy - Δ x= 2 * 8 - 10 = 6 ------------(3)

Hence the values of increments for calculating successive decision parameters are:

2Δy = 2 * 8 = 16;        -------------------(4)

 2Δy - 2Δx = 2 * 8 - 2 * 10 = - 4      -------------------(5) 

Then plot initial point (x0, y0) = (15, 5) in the frame buffer now find out successive pixel positions beside line path from decision parameters value of (15, 5).

1330_Explain the Bresenham Line Generation Algorithm.png

Posted Date: 4/3/2013 2:21:02 AM | Location : United States

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