Draw line segment - digital differential analyzer algorithm, Computer Graphics

Assignment Help:

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

x_i _{+ 1} = x_i + 1

y_{i + 1} = y_i + m

Case 2: m > 1

x_{i + 1} = x_i + (1/m)

y_i _{+ 1} = y_i + 1

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

x_i _{+ 1} = xi + 1; y_{i + 1} = y_i + 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.

Related Discussions:- Draw line segment - digital differential analyzer algorithm

Object space - approaches for visible surface determination, Object Space -...

Object Space - approaches for visible surface determination The second approach as object-space that compares all objects directly along with each other inside the scene defin

Crt, explain the working procedure of crt digram

explain the working procedure of crt digram

Stroke method, examples of stroke method

examples of stroke method

Example of bezier curves - modeling and rendering, To prove: P (u = 0) = p0...

To prove: P (u = 0) = p0 Solution : = p 0 B n,0 (u) + p 1 B n, 1 (u) +...... + p n B n, n (u)...............(1) B n,i (u) = n c i u i (1 - u) n-i B n,0

#tithelole.., hello

hello

Global illumination model -polygon rendering, Global illumination model -po...

Global illumination model -polygon rendering This illumination model adds to the local model the light which is reflected from the other surfaces to the current surface. This

B splines, What is uniform rational splines

What is uniform rational splines

Write a c-code for a user to draw a polygon object, Write a C-code for an i...

Write a C-code for an interactive program which allows a user to draw a polygon object in a window and then gives various choices of geometric transformations on the polygon. Once

Write a code to continuously rotate square about pivot point, Write a code ...

Write a code to continuously rotate a square about a pivot point. #include static GLfloat rotat=0.0; void init(void); void display(void); void reshape(int w

Traditional animation techniques - computer animation, Traditional Animatio...

Traditional Animation Techniques - Computer Animation Before the advent of computer animation, each animation was done via hand that involves an enormous amount of work. You

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages