Translate a square - 2-d and 3-d transformations, Computer Graphics

Assignment Help:

Example1: Translate a square ABCD along with the coordinates as: A(0,0),B(5,0),C(5,5),D(0,5) via 2 units in x-direction and 3 units in y-direction.

Solution: We can show the square here, in matrix form, by using homogeneous coordinates of vertices as:

1628_Translate a square 1.png

The translation factors are, tx=2, ty=3

The transformation matrix for translation:

T_v=

2344_Translate a square 2.png

So new object point coordinates are:

[A'B'C'D'] = [ABCD].T_v

1270_Translate a square 3.png

Hence, A'(x'1,y'1)=(2,3)

B'(x'2,y'2)=(7,3)

C'(x'3,y'3)=(7,8) and

D'(x'4,y'4)=(2,8)

Related Discussions:- Translate a square - 2-d and 3-d transformations

Ray tracing algorithm - recursive, Ray Tracing Algorithm - Recursive ...

Ray Tracing Algorithm - Recursive Frequently, the basic ray tracing algorithm is termed as a "recursive" acquiring an outcome wherein a given process repeats itself an arbitr

Explain what the term blocking means in animation, Question 1: (a) Exp...

Question 1: (a) Explain what are Final Gathering and Global Illumination and state why you would use those features when you render in MAYA. (b) List clearly the steps in

Line segment that joining by using bresenham line algorithm, Sketch Line Se...

Sketch Line Segment That Joining By Using Bresenham Line Algorithm Example: Sketch line segment that joining (20, 10) and (25, 14) by using Bresenham line generation algorit

Crt, working of crt

working of crt

What is the purpose behind the staircase effect, 1. What is the purpose be...

1. What is the purpose behind the Staircase effect? Ans. The approximation concerned in the calculation for finding of pixel position concerned in the display of lines and th

Passive computer animations - types of computer animation, Passive Computer...

Passive Computer Animations: That has no option for users to utilize computer graphics today is mostly interactive for example: movies. Frame animation is non-interactive anim

PHONG INTERPOLATION, DESCRIBE PHONG INTERPOLATION SHADING METHOD

DESCRIBE PHONG INTERPOLATION SHADING METHOD

Define clipping, Define clipping and covering (exterior clipping)? Clip...

Define clipping and covering (exterior clipping)? Clipping is the process of cutting a graphics display to neatly fit a predefined graphics region or the view port. This is

Image editing tools in multimedia, Image Editing Tools These are specia...

Image Editing Tools These are specializing and influential tools for enhancing and re-touching existing bit-mapped images. Such applications also give several of the features a

Negative accelerations - computer animation, Negative Accelerations - compu...

Negative Accelerations - computer animation In order to incorporate decreasing speed in an animation the time spacing between the frames must decrease, thus there exists lesser

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages