Draw line segment - digital differential analyzer algorithm, Computer Graphics

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1. By using Digital Differential Analyzer algorithm draw line segments from point (1,1) to (9,7).

Ans. We see that the usual equation of the line is specified by:

y = mx+c, here m = (y1 - y0/( x1 - x0)

Specified (x0, y0) → (1, 1) ; (x1, y1) → (9, 7)

⇒ m = (7-1)/(9-1) =6/8

C = y1 - mx1 = 7 - (6/8) *9 = 1/4

Consequently, by equation of line (y = mx + c) we contain: 

 y = (6/8)x+(1/4)

  Digital Differential Analyzer Algorithm Two case:

Case 1:   m < 1   

xi + 1 = xi + 1

 yi + 1 = yi + m

Case 2: m > 1   

xi + 1 = xi + (1/m)

yi + 1 = yi + 1

Here m < 1 so as per to Digital Differential Analyzer algorithm case 1

xi + 1 = xi + 1; yi + 1 = yi + m

Specified (x0, y0) = (1, 1)

1) x1 = x0 + 1 = 2

y1 = y0 + m = 1+ (6/8) = 7/4

Place pixel (x0, round y, colour)

That is, put on (2, 2)

Likewise, go on until (9, 7) is arrived at.


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