please type your answer do not answer it by your handwritin

please type your answer , do not answer it by your handwriting thank you

Question 4 (20 points) What is the method of line-drawing? An example will be useful in explaining this.

Solution

Method of line drawing:

The method of line drawing is a graphical tool for approximating and representation a line segment on graphical media. The graphical media, such as fixel based displays and line drawing requires such an approximation. The Basic algorithms requires to indicate lines in one colour. A better representation with multiple colour gradations requires an advanced techniques.

The method of line drawing is a tool for approximating and representation a line segment on graphical media. The graphical media, such as fixel based displays and line drawing requires such an approximation. The Basic algorithms requires to indicate lines in one colour. A better representation with multiple colour gradations requires an advanced techniques.

An example for useful in explain the method of line drawing :

Input the two end points (x_i,y_i) and (x_f,y_f)

Compute slope of the line m = (y_f – y_i) / (x_f - x_i)

Compute y- intercept of the line b = (y_i - mx_i)

Set initial values of x and y as x = x_i , y = y_i

Plot the first end points plot pixel (x,y)

If m<1 then

While X<x

         While increment x-coordinate X=x+1

             Calculate y coordinate Y= mx+b

Round off the y-value and plot pixel (X,Y)

       While (Y < y)

Increment y-coordinate y= y+1

Calculate x-coordinate X=(y-b) / m

Round round off the X value and plot pixel (X,Y)

Let us consider two points (3,4), and (9,5). Find the points to be plotted.

(x_i,y_i) = (3,4)

(x_f,y_f) = (9,5)

m = (y_f -yi) / (x_f -x_i)

    = (5-4) / (9-3)

    = 1/6

b = (y_i-mx_i)

   = 4-(1/6)3

   = 7/2

X

Y=mx+b

Plot pixel (x,y)

3

4.0

(3,4)

4

4.17

(4,4)

5

4.33

(5,4)

6

4.5

(6,5)

7

4.66

(7,5)

8

4.83

(8,5)

9

5.0

(9,5)

X	Y=mx+b	Plot pixel (x,y)
3	4.0	(3,4)
4	4.17	(4,4)
5	4.33	(5,4)
6	4.5	(6,5)
7	4.66	(7,5)
8	4.83	(8,5)
9	5.0	(9,5)