Draw line segment - digital differential analyzer algorithm, Computer Graphics

Assignment Help:

Example 1: Draw line segment from point (2, 4) to (9, 9) by using Digital Differential Analyzer algorithm.

Solution: We know usual equation of line is specified via

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

Specified (x0, y0) → (2, 4) ; (x1, y1) → (9, 9)

⇒ m = ( y1 -y0)/( x1 - x0)

= (9 - 4) /(9 - 2)= 5/7..that is 0< m<1

C = y1- mx1 = 9 - ((5/7)* 9) = (63 - 45)/7 = 18/7

Conversely, by Equation of line (y = mx + c) we have

Y = (5/7)x + (18/7)

DDA 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

Since 0 < m < 1  so as per to DDA algorithm case 1

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

Specified (x0, y0) = (2, 4)

1)      x1 = x0 + 1 = 3

Y1 = y0 + m= 4 +5/7= 4 (5/7)

Place pixel (x0, round y, colour)

That is put on (3, 5)

2) x2 = x1 + 1 = 3 + 1 = 4

y2 = y1 + m = (33/7) +(5/7)

Place on (4, 5)

Likewise go on till (9, 9) is reached.


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

Intersection test - visible surface detection, Intersection Test - Visible ...

Intersection Test - Visible Surface Detection Test: It called Intersection Test also: we go for intersection test, if Min-max test fails. Now we take each edge individually

Multimedia resources, Education courses, skills, and knowledge are sometime...

Education courses, skills, and knowledge are sometimes taught of context because of lack of application of real time examples. To resolve this, educators are using multimedia to br

List out the merits of plasma panel display, List out the merits of Plasma ...

List out the merits of Plasma panel display?  Merits  Refreshing is not needed Produce a very steady image free of Flicker Less bulky than a CRT. Demerits

Shading , short note on shading

short note on shading

Write short notes on rendering bi-cubic surface, Write short notes on rende...

Write short notes on rendering bi-cubic surface patches of constant u and v method?  The simple way is to draw the iso-parmetric lines of the surface. Discrete approximations t

Explain about the computer-aided design, Explain about the Computer-Aided D...

Explain about the Computer-Aided Design CAD is used in the design and development of new products in a several of applications both at home and on a commercial/industrial basis

Film - applications for computer animation, Film - Applications for Compute...

Film - Applications for Computer Animation Computer animation has turn into regular and accepted in particular effects. Movies as "Jurassic Park", "Terminator 2: Judgment Day"

View volumes and general projection transformations, View Volumes and Gener...

View Volumes and General Projection Transformations You have to remember that the view volume is the volume which sets up near and far extents, top and bottom extents and left

Computer aided design and drafting, Computer Aided Design and Drafting ...

Computer Aided Design and Drafting CADD or CAD stands for Computer Aided Design and Drafting. This is different from both "draw" and "paint" programs in which measurement is c

Detailed explanation on mounting, QUESTION While the design and printin...

QUESTION While the design and printing of a job is of extreme importance, it is what happens to the job after it is printed that can really make it fantastic You have always

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd